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Erschienen in: Structural and Multidisciplinary Optimization 1/2010

01.07.2010 | Medical and Bioengineering Application

Physics-based modeling and simulation of human walking: a review of optimization-based and other approaches

verfasst von: Yujiang Xiang, Jasbir S. Arora, Karim Abdel-Malek

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 1/2010

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Abstract

A review of human walking modeling and simulation is presented. This review focuses on physics-based human walking simulations in the robotics and biomechanics literature. The gait synthesis methods are broadly divided into five categories: (1) inverted pendulum model; (2) passive dynamics walking; (3) zero moment point (ZMP) methods; (4) optimization-based methods; and (5) control-based methods. Features of various methods are discussed, and their advantages and disadvantages are delineated. The modeling, formulation, and computation aspects of each method are reviewed.

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Literatur
Zurück zum Zitat Albert A, Gerth W (2003) Analytic path planning algorithms for bipedal robots without a trunk. J Intell Robot Syst 36(2):109–127 Albert A, Gerth W (2003) Analytic path planning algorithms for bipedal robots without a trunk. J Intell Robot Syst 36(2):109–127
Zurück zum Zitat Anderson KS, Hsu YH (2002) Analytical fully-recursive sensitivity analysis for multibody dynamic chain systems. Multibody Syst Dyn 8(1):1–27MathSciNetMATH Anderson KS, Hsu YH (2002) Analytical fully-recursive sensitivity analysis for multibody dynamic chain systems. Multibody Syst Dyn 8(1):1–27MathSciNetMATH
Zurück zum Zitat Anderson FC, Pandy MG (1993) Storage and utilization of elastic strain energy during jumping. J Biomech 26(12):1413–1427 Anderson FC, Pandy MG (1993) Storage and utilization of elastic strain energy during jumping. J Biomech 26(12):1413–1427
Zurück zum Zitat Anderson FC, Pandy MG (2001a) Dynamic optimization of human walking. J Biomech Eng-Trans Asme 123(5):381–390 Anderson FC, Pandy MG (2001a) Dynamic optimization of human walking. J Biomech Eng-Trans Asme 123(5):381–390
Zurück zum Zitat Anderson FC, Pandy MG (2001b) Static and dynamic optimization solutions for gait are practically equivalent. J Biomech 34(2):153–161 Anderson FC, Pandy MG (2001b) Static and dynamic optimization solutions for gait are practically equivalent. J Biomech 34(2):153–161
Zurück zum Zitat Anderson FC, Goldberg SR, Pandy MG, Delp SL (2004) Contributions of muscle forces and toe-off kinematics to peak knee flexion during the swing phase of normal gait: an induced position analysis. J Biomech 37(5):731–737 Anderson FC, Goldberg SR, Pandy MG, Delp SL (2004) Contributions of muscle forces and toe-off kinematics to peak knee flexion during the swing phase of normal gait: an induced position analysis. J Biomech 37(5):731–737
Zurück zum Zitat Anderson MS, Damsgaard M, Rasmussen J (2007) A study of the effects of two different kinematical analysis methods on the calculated muscle activities in an inverse dynamics-based musculoskeletal model of gait. In: 20th Nordic seminar on computational mechanics, Gothenburg, Sweden Anderson MS, Damsgaard M, Rasmussen J (2007) A study of the effects of two different kinematical analysis methods on the calculated muscle activities in an inverse dynamics-based musculoskeletal model of gait. In: 20th Nordic seminar on computational mechanics, Gothenburg, Sweden
Zurück zum Zitat Arnold AS, Anderson FC, Pandy MG, Delp SL (2005) Muscular contributions to hip and knee extension during the single limb stance phase of normal gait: a framework for investigating the causes of crouch gait. J Biomech 38(11):2181–2189 Arnold AS, Anderson FC, Pandy MG, Delp SL (2005) Muscular contributions to hip and knee extension during the single limb stance phase of normal gait: a framework for investigating the causes of crouch gait. J Biomech 38(11):2181–2189
Zurück zum Zitat Arnold AS, Thelen DG, Schwartz MH, Anderson FC, Delp SL (2007) Muscular coordination of knee motion during the terminal-swing phase of normal gait. J Biomech 40(13):3314–3324 Arnold AS, Thelen DG, Schwartz MH, Anderson FC, Delp SL (2007) Muscular coordination of knee motion during the terminal-swing phase of normal gait. J Biomech 40(13):3314–3324
Zurück zum Zitat Arora JS, Wang Q (2005) Review of formulations for structural and mechanical system optimization. Struct Multidisc Optim 30(4):251–272MathSciNet Arora JS, Wang Q (2005) Review of formulations for structural and mechanical system optimization. Struct Multidisc Optim 30(4):251–272MathSciNet
Zurück zum Zitat Arora JS, Chahande AI, Paeng JK (1991) Multiplier methods for engineering optimization. Int J Numer Methods Eng 32(7):1485–1525MathSciNetMATH Arora JS, Chahande AI, Paeng JK (1991) Multiplier methods for engineering optimization. Int J Numer Methods Eng 32(7):1485–1525MathSciNetMATH
Zurück zum Zitat Asano F, Yamakita M, Kamamichi N, Luo ZW (2004) A novel gait generation for biped walking robots based on mechanical energy constraint. IEEE Trans Robot Autom 20(3):565–573 Asano F, Yamakita M, Kamamichi N, Luo ZW (2004) A novel gait generation for biped walking robots based on mechanical energy constraint. IEEE Trans Robot Autom 20(3):565–573
Zurück zum Zitat Ayyappa E (1997) Normal human locomotion, part 1: basic concepts and terminology. J Prosthet Orthot 9(1):10–17 Ayyappa E (1997) Normal human locomotion, part 1: basic concepts and terminology. J Prosthet Orthot 9(1):10–17
Zurück zum Zitat Azevedo C, Poignet P, Espiau B (2004) Artificial locomotion control: from human to robots. Robot Auton Syst 47(4):203–223 Azevedo C, Poignet P, Espiau B (2004) Artificial locomotion control: from human to robots. Robot Auton Syst 47(4):203–223
Zurück zum Zitat Barthelemy JFM, Hall LE (1995) Automatic differentiation as a tool in engineering design. Struct Optim 9(2):76–82 Barthelemy JFM, Hall LE (1995) Automatic differentiation as a tool in engineering design. Struct Optim 9(2):76–82
Zurück zum Zitat Beletskii VV, Chudinov PS (1977) Parametric optimization in the problem of biped locomotion. Mechanics of Solids 12(1):25–35 Beletskii VV, Chudinov PS (1977) Parametric optimization in the problem of biped locomotion. Mechanics of Solids 12(1):25–35
Zurück zum Zitat Bessonnet G, Sardain P, Chesse S (2002) Optimal motion synthesis—dynamic modeling and numerical solving aspects. Multibody Syst Dyn 8(3):257–278MathSciNetMATH Bessonnet G, Sardain P, Chesse S (2002) Optimal motion synthesis—dynamic modeling and numerical solving aspects. Multibody Syst Dyn 8(3):257–278MathSciNetMATH
Zurück zum Zitat Bessonnet G, Chesse S, Sardain P (2004) Optimal gait synthesis of a seven-link planar biped. Int J Rob Res 23(10–11):1059–1073 Bessonnet G, Chesse S, Sardain P (2004) Optimal gait synthesis of a seven-link planar biped. Int J Rob Res 23(10–11):1059–1073
Zurück zum Zitat Bessonnet G, Seguin P, Sardain P (2005) A parametric optimization approach to walking pattern synthesis. Int J Rob Res 24(7):523–536 Bessonnet G, Seguin P, Sardain P (2005) A parametric optimization approach to walking pattern synthesis. Int J Rob Res 24(7):523–536
Zurück zum Zitat Bottasso CL, Prilutsky BI, Croce A, Imberti E, Sartirana S (2006) A numerical procedure for inferring from experimental data the optimization cost functions using a multibody model of the neuro-musculoskeletal system. Multibody Syst Dyn 16(2):123–154MathSciNetMATH Bottasso CL, Prilutsky BI, Croce A, Imberti E, Sartirana S (2006) A numerical procedure for inferring from experimental data the optimization cost functions using a multibody model of the neuro-musculoskeletal system. Multibody Syst Dyn 16(2):123–154MathSciNetMATH
Zurück zum Zitat Capi G, Yokota M, Mitobe K (2006) Optimal multi-criteria humanoid robot gait synthesis—an evolutionary approach. Int J Innovative Computing Information Control 2(6):1249–1258 Capi G, Yokota M, Mitobe K (2006) Optimal multi-criteria humanoid robot gait synthesis—an evolutionary approach. Int J Innovative Computing Information Control 2(6):1249–1258
Zurück zum Zitat Channon PH, Hopkins SH, Pham DT (1992) Derivation of optimal walking motions for a bipedal walking robot. Robotica 10:165–172 Channon PH, Hopkins SH, Pham DT (1992) Derivation of optimal walking motions for a bipedal walking robot. Robotica 10:165–172
Zurück zum Zitat Chevallereau C, Aoustin Y (2001) Optimal reference trajectories for walking and running of a biped robot. Robotica 19:557–569 Chevallereau C, Aoustin Y (2001) Optimal reference trajectories for walking and running of a biped robot. Robotica 19:557–569
Zurück zum Zitat Choi MG, Lee J, Shin SY (2003) Planning biped locomotion using motion capture data and probabilistic roadmaps. ACM Trans Graph 22(2):182–203 Choi MG, Lee J, Shin SY (2003) Planning biped locomotion using motion capture data and probabilistic roadmaps. ACM Trans Graph 22(2):182–203
Zurück zum Zitat Chow CK, Jacobson DH (1971) Studies of human locomotion via optimal programming. Math Biosci 10:239–306 Chow CK, Jacobson DH (1971) Studies of human locomotion via optimal programming. Math Biosci 10:239–306
Zurück zum Zitat Collins SH, Ruina A, Tedrake R, Wisse M (2005) Efficient bipedal robots based on passive-dynamic walkers. Science 307(5712):1082–1085 Collins SH, Ruina A, Tedrake R, Wisse M (2005) Efficient bipedal robots based on passive-dynamic walkers. Science 307(5712):1082–1085
Zurück zum Zitat Collins SH, Wisse M, Ruina A (2001) A three-dimensional passive-dynamic walking robot with two legs and knees. Int J Rob Res 20(7):607–615 Collins SH, Wisse M, Ruina A (2001) A three-dimensional passive-dynamic walking robot with two legs and knees. Int J Rob Res 20(7):607–615
Zurück zum Zitat Collins SH, Adamczyk PG, Kuo AD (2009) Dynamic arm swinging in human walking. Proc R Soc B-Biol Sci 276(1673):3679–3688 Collins SH, Adamczyk PG, Kuo AD (2009) Dynamic arm swinging in human walking. Proc R Soc B-Biol Sci 276(1673):3679–3688
Zurück zum Zitat Davy DT, Audu ML (1987) A dynamic optimization technique for predicting muscle forces in the swing phase of gait. J Biomech 20(2):187–201 Davy DT, Audu ML (1987) A dynamic optimization technique for predicting muscle forces in the swing phase of gait. J Biomech 20(2):187–201
Zurück zum Zitat Delp SL, Loan JP (2000) A computational framework for simulating and analysing human and animal movement. Comput Sci Eng 2(5):46–55 Delp SL, Loan JP (2000) A computational framework for simulating and analysing human and animal movement. Comput Sci Eng 2(5):46–55
Zurück zum Zitat Denavit J, Hartenberg RS (1955) A kinematic notation for lower-pair mechanisms based on matrices. ASME J Appl Mech 22:215–221MathSciNetMATH Denavit J, Hartenberg RS (1955) A kinematic notation for lower-pair mechanisms based on matrices. ASME J Appl Mech 22:215–221MathSciNetMATH
Zurück zum Zitat Eberhard P, Bischof C (1999) Automatic differentiation of numerical integration algorithms. Math Comput 68(226):717–731MathSciNetMATH Eberhard P, Bischof C (1999) Automatic differentiation of numerical integration algorithms. Math Comput 68(226):717–731MathSciNetMATH
Zurück zum Zitat Erdemir A, McLean S, Herzog W, van den Bogert AJ (2007) Model-based estimation of muscle forces exerted during movements. Clin Biomech 22:131–154 Erdemir A, McLean S, Herzog W, van den Bogert AJ (2007) Model-based estimation of muscle forces exerted during movements. Clin Biomech 22:131–154
Zurück zum Zitat Forster E (2004) Predicting muscle forces in the human lower limb during locomotion. PhD thesis, University of Ulm, Germany Forster E (2004) Predicting muscle forces in the human lower limb during locomotion. PhD thesis, University of Ulm, Germany
Zurück zum Zitat Fregly BJ, Reinbolt JA, Rooney KL, Mitchell KH, Chmielewski TL (2007) Design of patient-specific gait modifications for knee osteoarthritis rehabilitation. IEEE Trans Biomed Eng 54(9):1687–1695 Fregly BJ, Reinbolt JA, Rooney KL, Mitchell KH, Chmielewski TL (2007) Design of patient-specific gait modifications for knee osteoarthritis rehabilitation. IEEE Trans Biomed Eng 54(9):1687–1695
Zurück zum Zitat Furusho J, Sano A (1990) Sensor-based control of a 9-link biped. Int J Rob Res 9(2):83–98 Furusho J, Sano A (1990) Sensor-based control of a 9-link biped. Int J Rob Res 9(2):83–98
Zurück zum Zitat Garcia CE, Prett DM, Morari M (1989) Model predictive control—theory and practice—a survey. Automatica 25(3):335–348MATH Garcia CE, Prett DM, Morari M (1989) Model predictive control—theory and practice—a survey. Automatica 25(3):335–348MATH
Zurück zum Zitat Garcia M, Chatterjee A, Ruina A, Coleman M (1998) The simplest walking model: stability, complexity, and scaling. J Biomech Eng-Trans ASME 120(2):281–288 Garcia M, Chatterjee A, Ruina A, Coleman M (1998) The simplest walking model: stability, complexity, and scaling. J Biomech Eng-Trans ASME 120(2):281–288
Zurück zum Zitat Gill PE, Murray W, Saunders MA (2002) SNOPT: An SQP algorithm for large-scale constrained optimization. SIAM J Optim 12(4):979–1006MathSciNetMATH Gill PE, Murray W, Saunders MA (2002) SNOPT: An SQP algorithm for large-scale constrained optimization. SIAM J Optim 12(4):979–1006MathSciNetMATH
Zurück zum Zitat Goldberg SR, Anderson FC, Pandy MG, Delp SL (2004) Muscles that influence knee flexion velocity in double support: implications for stiff-knee gait. J Biomech 37(8):1189–1196 Goldberg SR, Anderson FC, Pandy MG, Delp SL (2004) Muscles that influence knee flexion velocity in double support: implications for stiff-knee gait. J Biomech 37(8):1189–1196
Zurück zum Zitat Goswami A (1999) Postural stability of biped robots and the foot-rotation indicator (FRI) point. Int J Rob Res 18(6):523–533MathSciNet Goswami A (1999) Postural stability of biped robots and the foot-rotation indicator (FRI) point. Int J Rob Res 18(6):523–533MathSciNet
Zurück zum Zitat Goswami A, Thuilot B, Espiau B (1998) A study of the passive gait of a compass-like biped robot: symmetry and chaos. Int J Rob Res 17(12):1282–1301 Goswami A, Thuilot B, Espiau B (1998) A study of the passive gait of a compass-like biped robot: symmetry and chaos. Int J Rob Res 17(12):1282–1301
Zurück zum Zitat Gubina F, Hemami H, Mcghee RB (1974) Dynamic stability of biped locomotion. IEEE Trans Biomed Eng 21(2):102–108 Gubina F, Hemami H, Mcghee RB (1974) Dynamic stability of biped locomotion. IEEE Trans Biomed Eng 21(2):102–108
Zurück zum Zitat Ha T, Choi CH (2007) An effective trajectory generation method for bipedal walking. Robot Auton Syst 55(10):795–810 Ha T, Choi CH (2007) An effective trajectory generation method for bipedal walking. Robot Auton Syst 55(10):795–810
Zurück zum Zitat Harada K, Kajita S, Kaneko K, Hirukawa H (2006) An analytical method for real-time gait planning for humanoid robots. Int J Humanoid Robot 3(1):1–19 Harada K, Kajita S, Kaneko K, Hirukawa H (2006) An analytical method for real-time gait planning for humanoid robots. Int J Humanoid Robot 3(1):1–19
Zurück zum Zitat Higginson JS, Zajac FE, Neptune RR, Kautz SA, Delp SL (2006) Muscle contributions to support during gait in an individual with post-stroke hemiparesis. J Biomech 39(10):1769–1777 Higginson JS, Zajac FE, Neptune RR, Kautz SA, Delp SL (2006) Muscle contributions to support during gait in an individual with post-stroke hemiparesis. J Biomech 39(10):1769–1777
Zurück zum Zitat Hirai K (1999) The Honda humanoid robot: development and future perspective. Ind Rob 26(4):260–266 Hirai K (1999) The Honda humanoid robot: development and future perspective. Ind Rob 26(4):260–266
Zurück zum Zitat Hirai K, Hirose M, Haikawa Y, Takenaka T (1998) The development of Honda humanoid robot. In: Proceedings of the 1998 IEEE international conference on robotics and automation, Leuven, Belgium, pp 1321–1326 Hirai K, Hirose M, Haikawa Y, Takenaka T (1998) The development of Honda humanoid robot. In: Proceedings of the 1998 IEEE international conference on robotics and automation, Leuven, Belgium, pp 1321–1326
Zurück zum Zitat Hirukawa H, Hattori S, Harada K, Kajita S, Kaneko K, Kanehiro F, Fujiwara K, Morisawa M (2006) A universal stability criterion of the foot contact of legged robots-adios ZMP. In: Proceedings of the 2006 IEEE international conference on robotics and automation, Orlando, Florida, pp 1976–1983 Hirukawa H, Hattori S, Harada K, Kajita S, Kaneko K, Kanehiro F, Fujiwara K, Morisawa M (2006) A universal stability criterion of the foot contact of legged robots-adios ZMP. In: Proceedings of the 2006 IEEE international conference on robotics and automation, Orlando, Florida, pp 1976–1983
Zurück zum Zitat Hirukawa H, Hattori S, Kajita S, Harada K, Kaneko K, Kanehiro F, Morisawa M, Nakaoka S (2007) A pattern generator of humanoid robots walking on a rough terrain. In: Proceedings of the 2007 IEEE international conference on robotics and automation, Roma, Italy, pp 2181–2187 Hirukawa H, Hattori S, Kajita S, Harada K, Kaneko K, Kanehiro F, Morisawa M, Nakaoka S (2007) A pattern generator of humanoid robots walking on a rough terrain. In: Proceedings of the 2007 IEEE international conference on robotics and automation, Roma, Italy, pp 2181–2187
Zurück zum Zitat Hu LY, Zhou CJ, Sun ZQ (2008) Estimating biped gait using spline-based probability distribution function with Q-learning. IEEE Trans Ind Electron 55(3):1444–1452 Hu LY, Zhou CJ, Sun ZQ (2008) Estimating biped gait using spline-based probability distribution function with Q-learning. IEEE Trans Ind Electron 55(3):1444–1452
Zurück zum Zitat Huang Q, Yokoi K, Kajita S, Kaneko K, Arai H, Koyachi N, Tanie K (2001) Planning walking patterns for a biped robot. IEEE Trans Robot Autom 17(3):280–289 Huang Q, Yokoi K, Kajita S, Kaneko K, Arai H, Koyachi N, Tanie K (2001) Planning walking patterns for a biped robot. IEEE Trans Robot Autom 17(3):280–289
Zurück zum Zitat Hull DG (1997) Conversion of optimal control problems into parameter optimization problems. J Guid Control Dyn 20(1):57–60MATH Hull DG (1997) Conversion of optimal control problems into parameter optimization problems. J Guid Control Dyn 20(1):57–60MATH
Zurück zum Zitat Hull DG (2003) Optimal control theory for applications. Springer, BerlinMATH Hull DG (2003) Optimal control theory for applications. Springer, BerlinMATH
Zurück zum Zitat Hurmuzlu Y (1993) Dynamics of bipedal gait Part II: stability analysis of a planar 5-link biped. J Appl Mech-Trans ASME 60(2):337–343CrossRef Hurmuzlu Y (1993) Dynamics of bipedal gait Part II: stability analysis of a planar 5-link biped. J Appl Mech-Trans ASME 60(2):337–343CrossRef
Zurück zum Zitat Hurmuzlu Y, Ephanov A (2002) Generating pathological gait patterns via the use of robotic locomotion models. J Technol Health Care 10:135–146 Hurmuzlu Y, Ephanov A (2002) Generating pathological gait patterns via the use of robotic locomotion models. J Technol Health Care 10:135–146
Zurück zum Zitat Hurmuzlu Y, Genot F, Brogliato B (2004) Modeling, stability and control of biped robots—a general framework. Automatica 40(10):1647–1664MathSciNetMATH Hurmuzlu Y, Genot F, Brogliato B (2004) Modeling, stability and control of biped robots—a general framework. Automatica 40(10):1647–1664MathSciNetMATH
Zurück zum Zitat Inman VT, Ralston RJ, Todd F (1981) Human walking. Wilkins & Wilkins, Baltimore Inman VT, Ralston RJ, Todd F (1981) Human walking. Wilkins & Wilkins, Baltimore
Zurück zum Zitat Juang JG (2000) Fuzzy neural network approaches for robotic gait synthesis. IEEE Trans Syst Man Cybern Part B-Cybern 30(4):594–601 Juang JG (2000) Fuzzy neural network approaches for robotic gait synthesis. IEEE Trans Syst Man Cybern Part B-Cybern 30(4):594–601
Zurück zum Zitat Kajita S, Tani K (1991). Study of dynamic biped locomotion on rugged terrain. In: Proceedings of the 1991 IEEE international conference on robotics and automation, Sacramento, CA, pp 1405–1411 Kajita S, Tani K (1991). Study of dynamic biped locomotion on rugged terrain. In: Proceedings of the 1991 IEEE international conference on robotics and automation, Sacramento, CA, pp 1405–1411
Zurück zum Zitat Kajita S, Yamaura T, Kobayashi A (1992) Dynamic walking control of a biped robot along a potential-energy conserving orbit. IEEE Trans Robot Autom 8(4):431–438 Kajita S, Yamaura T, Kobayashi A (1992) Dynamic walking control of a biped robot along a potential-energy conserving orbit. IEEE Trans Robot Autom 8(4):431–438
Zurück zum Zitat Kajita S, Matsumoto O, Saigo M (2001) Real-time 3D walking pattern generation for biped robot with telescopic legs. In: 2001 IEEE international conference on robotics and automation, Seoul, Korea, pp 2299–2306 Kajita S, Matsumoto O, Saigo M (2001) Real-time 3D walking pattern generation for biped robot with telescopic legs. In: 2001 IEEE international conference on robotics and automation, Seoul, Korea, pp 2299–2306
Zurück zum Zitat Kajita S, Kanehiro F, Kaneko K, Fujiwara K, Yokoi K, Hirukawa H (2002) A realtime pattern generator for biped walking. In: Proceedings of the 2002 IEEE international conference on robotics and automation, Washington, DC, pp 31–37 Kajita S, Kanehiro F, Kaneko K, Fujiwara K, Yokoi K, Hirukawa H (2002) A realtime pattern generator for biped walking. In: Proceedings of the 2002 IEEE international conference on robotics and automation, Washington, DC, pp 31–37
Zurück zum Zitat Kajita S, Kanehiro F, Kaneko K, Fujiwara K, Harada K, Yokoi K, Hirukawa H (2003) Biped walking pattern generation by using preview control of zero-moment point. In: Proceedings of the 2003 IEEE international conference on robotics and automation, Taipei, Taiwan, pp 1620–1626 Kajita S, Kanehiro F, Kaneko K, Fujiwara K, Harada K, Yokoi K, Hirukawa H (2003) Biped walking pattern generation by using preview control of zero-moment point. In: Proceedings of the 2003 IEEE international conference on robotics and automation, Taipei, Taiwan, pp 1620–1626
Zurück zum Zitat Kaphle M, Eriksson A (2008) Optimality in forward dynamics simulations. J Biomech 41(6):1213–1221 Kaphle M, Eriksson A (2008) Optimality in forward dynamics simulations. J Biomech 41(6):1213–1221
Zurück zum Zitat Katic D, Vukobratović M (2003) Survey of intelligent control techniques for humanoid robots. J Intell Robot Syst 37(2):117–141 Katic D, Vukobratović M (2003) Survey of intelligent control techniques for humanoid robots. J Intell Robot Syst 37(2):117–141
Zurück zum Zitat Kim JG, Baek JH, Park FC (1999) Newton-type algorithms for robot motion optimization. In: Proceedings of the 1999 IEEE international conference on intelligent robots and systems, Kyongju, South Korea, pp 1842–1847 Kim JG, Baek JH, Park FC (1999) Newton-type algorithms for robot motion optimization. In: Proceedings of the 1999 IEEE international conference on intelligent robots and systems, Kyongju, South Korea, pp 1842–1847
Zurück zum Zitat Kim HJ, Horn E, Arora JS, Abdel-Malek K (2005) An optimization-based methodology to predict digital human gait motion. In: Digital human modeling for design and engineering symposium, Iowa City, IA Kim HJ, Horn E, Arora JS, Abdel-Malek K (2005) An optimization-based methodology to predict digital human gait motion. In: Digital human modeling for design and engineering symposium, Iowa City, IA
Zurück zum Zitat Kim HJ, Wang Q, Rahmatalla S, Swan CC, Arora JS, Abdel-Malek K, Assouline JG (2008) Dynamic motion planning of 3D human locomotion using gradient-based optimization. J Biomech Eng 130(3):031002 Kim HJ, Wang Q, Rahmatalla S, Swan CC, Arora JS, Abdel-Malek K, Assouline JG (2008) Dynamic motion planning of 3D human locomotion using gradient-based optimization. J Biomech Eng 130(3):031002
Zurück zum Zitat Kim HJ, Fernandez JW, Akbarshahi M, Walter JP, Fregly BJ, Pandy MG (2009) Evaluation of predicted knee-joint muscle forces during gait using an instrumented knee implant. J Orthop Res 27(10):1326–1331 Kim HJ, Fernandez JW, Akbarshahi M, Walter JP, Fregly BJ, Pandy MG (2009) Evaluation of predicted knee-joint muscle forces during gait using an instrumented knee implant. J Orthop Res 27(10):1326–1331
Zurück zum Zitat Koopman B, Grootenboer HJ, Dejongh HJ (1995) An inverse dynamics model for the analysis, reconstruction and prediction of bipedal walking. J Biomech 28(11):1369–1376 Koopman B, Grootenboer HJ, Dejongh HJ (1995) An inverse dynamics model for the analysis, reconstruction and prediction of bipedal walking. J Biomech 28(11):1369–1376
Zurück zum Zitat Kudoh S, Komura T (2003) C2 continuous gait-pattern generation for biped robots. In: Proceedings of the 2003 IEEE international conference on intelligent robots and systems, Las Vegas, Nevada, pp 1135–1140 Kudoh S, Komura T (2003) C2 continuous gait-pattern generation for biped robots. In: Proceedings of the 2003 IEEE international conference on intelligent robots and systems, Las Vegas, Nevada, pp 1135–1140
Zurück zum Zitat Kuo AD (1999) Stabilization of lateral motion in passive dynamic walking. Int J Rob Res 18(9):917–930 Kuo AD (1999) Stabilization of lateral motion in passive dynamic walking. Int J Rob Res 18(9):917–930
Zurück zum Zitat Kuo AD (2001) A simple model of bipedal walking predicts the preferred speed-step length relationship. J Biomech Eng-Trans Asme 123(3):264–269 Kuo AD (2001) A simple model of bipedal walking predicts the preferred speed-step length relationship. J Biomech Eng-Trans Asme 123(3):264–269
Zurück zum Zitat Kuo AD (2002) Energetics of actively powered locomotion using the simplest walking model. J Biomech Eng-Trans ASME 124(1):113–120 Kuo AD (2002) Energetics of actively powered locomotion using the simplest walking model. J Biomech Eng-Trans ASME 124(1):113–120
Zurück zum Zitat Kuo AD, Donelan JM, Ruina A (2005) Energetic consequences of walking like an inverted pendulum: step-to-step transitions. Exerc Sport Sci Rev 33(2):88–97 Kuo AD, Donelan JM, Ruina A (2005) Energetic consequences of walking like an inverted pendulum: step-to-step transitions. Exerc Sport Sci Rev 33(2):88–97
Zurück zum Zitat Leboeuf F, Bessonnet G, Seguin P, Lacouture P (2006) Energetic versus sthenic optimality criteria for gymnastic movement synthesis. Multibody Syst Dyn 16(3):213–236MATH Leboeuf F, Bessonnet G, Seguin P, Lacouture P (2006) Energetic versus sthenic optimality criteria for gymnastic movement synthesis. Multibody Syst Dyn 16(3):213–236MATH
Zurück zum Zitat Lo J, Huang G, Metaxas D (2002) Human motion planning based on recursive dynamics and optimal control techniques. Multibody Syst Dyn 8(4):433–458MathSciNetMATH Lo J, Huang G, Metaxas D (2002) Human motion planning based on recursive dynamics and optimal control techniques. Multibody Syst Dyn 8(4):433–458MathSciNetMATH
Zurück zum Zitat Marler RT, Arora JS (2004) Survey of multi-objective optimization methods for engineering. Struct Multidisc Optim 26(6):369–395MathSciNet Marler RT, Arora JS (2004) Survey of multi-objective optimization methods for engineering. Struct Multidisc Optim 26(6):369–395MathSciNet
Zurück zum Zitat Marshall RN, Wood GA, Jennings LS (1989) Performance objectives in human movement: a review and application to the stance phase of normal walking. Hum Mov Sci 8(6):571–594 Marshall RN, Wood GA, Jennings LS (1989) Performance objectives in human movement: a review and application to the stance phase of normal walking. Hum Mov Sci 8(6):571–594
Zurück zum Zitat Matsumoto O, Kajita S, Saigo M, Tani K (1999) Biped-type leg-wheeled robot. Adv Robot 13(3):235–236 Matsumoto O, Kajita S, Saigo M, Tani K (1999) Biped-type leg-wheeled robot. Adv Robot 13(3):235–236
Zurück zum Zitat Mayne DQ, Michalska H (1990) Receding horizon control of nonlinear-systems. IEEE Trans Automat Contr 35(7):814–824MathSciNetMATH Mayne DQ, Michalska H (1990) Receding horizon control of nonlinear-systems. IEEE Trans Automat Contr 35(7):814–824MathSciNetMATH
Zurück zum Zitat McGeer T (1990a) Passive dynamic walking. Int J Rob Res 9(2):62–82 McGeer T (1990a) Passive dynamic walking. Int J Rob Res 9(2):62–82
Zurück zum Zitat McGeer T (1990b) Passive walking with knees. In: Proceedings of the 1990 IEEE international conference on robotics and automation, Cincinnati, USA, pp 1640–1645 McGeer T (1990b) Passive walking with knees. In: Proceedings of the 1990 IEEE international conference on robotics and automation, Cincinnati, USA, pp 1640–1645
Zurück zum Zitat Mehrotra S (1992) On the Implementation of a primal-dual interior point method. SIAM J Optim 2(4):575–601MathSciNetMATH Mehrotra S (1992) On the Implementation of a primal-dual interior point method. SIAM J Optim 2(4):575–601MathSciNetMATH
Zurück zum Zitat Mita T, Yamaguchi T, Kashiwase T, Kawase T (1984) Realization of a high-speed biped using modern control-theory. Int J Control 40(1):107–119 Mita T, Yamaguchi T, Kashiwase T, Kawase T (1984) Realization of a high-speed biped using modern control-theory. Int J Control 40(1):107–119
Zurück zum Zitat Miura H, Shimoyama I (1984) Dynamic walk of a biped. Int J Rob Res 3(2):60–74 Miura H, Shimoyama I (1984) Dynamic walk of a biped. Int J Rob Res 3(2):60–74
Zurück zum Zitat Mochon S, Mcmahon TA (1980) Ballistic walking—an improved model. Math Biosci 52(3–4):241–260MathSciNetMATH Mochon S, Mcmahon TA (1980) Ballistic walking—an improved model. Math Biosci 52(3–4):241–260MathSciNetMATH
Zurück zum Zitat Mu XP, Wu Q (2003) Synthesis of a complete sagittal gait cycle for a five-link biped robot. Robotica 21:581–587 Mu XP, Wu Q (2003) Synthesis of a complete sagittal gait cycle for a five-link biped robot. Robotica 21:581–587
Zurück zum Zitat Multon F, France L, Cani-Gascuel MP, Debunne G (1999) Computer animation of human walking: a survey. J Vis Comput Animat 10(1):39–54 Multon F, France L, Cani-Gascuel MP, Debunne G (1999) Computer animation of human walking: a survey. J Vis Comput Animat 10(1):39–54
Zurück zum Zitat Neptune RR, Kautz SA, Zajac FE (2000) Muscle contributions to specific biomechanical functions do not change in forward versus backward pedaling. J Biomech 33:155–164 Neptune RR, Kautz SA, Zajac FE (2000) Muscle contributions to specific biomechanical functions do not change in forward versus backward pedaling. J Biomech 33:155–164
Zurück zum Zitat Neptune RR, Kautz SA, Zajac FE (2001) Contributions of the individual ankle plantar flexors to support, forward progression and swing initiation during walking. J Biomech 34:1387–1398 Neptune RR, Kautz SA, Zajac FE (2001) Contributions of the individual ankle plantar flexors to support, forward progression and swing initiation during walking. J Biomech 34:1387–1398
Zurück zum Zitat Neptune RR, Sasaki K, Kautz SA (2008) The effect of walking speed on muscle function and mechanical energetics. Gait Posture 28(1):135–143 Neptune RR, Sasaki K, Kautz SA (2008) The effect of walking speed on muscle function and mechanical energetics. Gait Posture 28(1):135–143
Zurück zum Zitat Neptune RR, Clark DJ, Kautz SA (2009a) Modular control of human walking: a simulation study. J Biomech 42:1282–1287 Neptune RR, Clark DJ, Kautz SA (2009a) Modular control of human walking: a simulation study. J Biomech 42:1282–1287
Zurück zum Zitat Neptune RR, McGowan CP, Fiandt JM (2009b) The influence of muscle physiology and advanced technology on sports performance. Annu Rev Biomed Eng 11:81–107 Neptune RR, McGowan CP, Fiandt JM (2009b) The influence of muscle physiology and advanced technology on sports performance. Annu Rev Biomed Eng 11:81–107
Zurück zum Zitat Pandy MG (2001) Computer modeling and simulation of human movement. Annu Rev Biomed Eng 3:245–273 Pandy MG (2001) Computer modeling and simulation of human movement. Annu Rev Biomed Eng 3:245–273
Zurück zum Zitat Pandy MG, Zajac FE, Sim E, Levine WS (1990) An optimal control model for maximum-height human jumping. J Biomech 23(12):1185–1198 Pandy MG, Zajac FE, Sim E, Levine WS (1990) An optimal control model for maximum-height human jumping. J Biomech 23(12):1185–1198
Zurück zum Zitat Pandy MG, Anderson FC, Hull DG (1992) A parameter optimization approach for the optimal control of large-scale musculoskeletal systems. ASME J Biomech Eng 114(4):343–363 Pandy MG, Anderson FC, Hull DG (1992) A parameter optimization approach for the optimal control of large-scale musculoskeletal systems. ASME J Biomech Eng 114(4):343–363
Zurück zum Zitat Pandy MG, Garner BA, Anderson FC (1995) Optimal control of non-ballistic muscular movements: a constraint-based performance criterion for rising from a chair. J Biomech Eng 117:15–26 Pandy MG, Garner BA, Anderson FC (1995) Optimal control of non-ballistic muscular movements: a constraint-based performance criterion for rising from a chair. J Biomech Eng 117:15–26
Zurück zum Zitat Park J, Kim K (1998) Biped robot walking using gravity-compensated inverted pendulum mode and computed torque control. In: Proceedings of the 1998 IEEE international conference on robotics and automation, pp 3528–3533 Park J, Kim K (1998) Biped robot walking using gravity-compensated inverted pendulum mode and computed torque control. In: Proceedings of the 1998 IEEE international conference on robotics and automation, pp 3528–3533
Zurück zum Zitat Perry J (1992) Gait analysis: normal and pathological function. Slack, Thorofare Perry J (1992) Gait analysis: normal and pathological function. Slack, Thorofare
Zurück zum Zitat Pettre J, Laumond JP (2006) A motion capture-based control-space approach for walking mannequins. Computer Animation and Virtual Worlds 17(2):109–126 Pettre J, Laumond JP (2006) A motion capture-based control-space approach for walking mannequins. Computer Animation and Virtual Worlds 17(2):109–126
Zurück zum Zitat Qin SJ, Badgwell TA (2003) A survey of industrial model predictive control technology. Control Eng Pract 11(7):733–764 Qin SJ, Badgwell TA (2003) A survey of industrial model predictive control technology. Control Eng Pract 11(7):733–764
Zurück zum Zitat Raibert MH (1986) Legged robots that balance. MIT Press, Cambridge Raibert MH (1986) Legged robots that balance. MIT Press, Cambridge
Zurück zum Zitat Rasmussen J, Damsgaard M, Voigt M (2001) Muscle recruitment by the min/max criterion—a comparative numerical study. J Biomech 34(3):409–415 Rasmussen J, Damsgaard M, Voigt M (2001) Muscle recruitment by the min/max criterion—a comparative numerical study. J Biomech 34(3):409–415
Zurück zum Zitat Ren L, Jones RK, Howard D (2007) Predictive modeling of human walking over a complete gait cycle. J Biomech 40(7):1567–1574 Ren L, Jones RK, Howard D (2007) Predictive modeling of human walking over a complete gait cycle. J Biomech 40(7):1567–1574
Zurück zum Zitat Rostami M, Bessonnet G (2001) Sagittal gait of a biped robot during the single support phase. Part 2: optimal motion. Robotica 19:241–253 Rostami M, Bessonnet G (2001) Sagittal gait of a biped robot during the single support phase. Part 2: optimal motion. Robotica 19:241–253
Zurück zum Zitat Roussel L, Canudas-de-Wit C, Goswami A (1998) Generation of energy optimal complete gait cycles for biped. Proc IEEE Int Conf Rob Auto 3:2036–2042 Roussel L, Canudas-de-Wit C, Goswami A (1998) Generation of energy optimal complete gait cycles for biped. Proc IEEE Int Conf Rob Auto 3:2036–2042
Zurück zum Zitat Rutkovskii SV (1985) Walking, skipping and running of a bipedal robot with allowance for impact. Mechanics of Solids 20(5):44–49MathSciNet Rutkovskii SV (1985) Walking, skipping and running of a bipedal robot with allowance for impact. Mechanics of Solids 20(5):44–49MathSciNet
Zurück zum Zitat Saidouni T, Bessonnet G (2003) Generating globally optimised sagittal gait cycles of a biped robot. Robotica 21:199–210 Saidouni T, Bessonnet G (2003) Generating globally optimised sagittal gait cycles of a biped robot. Robotica 21:199–210
Zurück zum Zitat Sardain P, Bessonnet G (2004a) Forces acting on a biped robot. Center of pressure-zero moment point. IEEE Trans Syst Man Cybern Part A Syst Humans 34(5):630–637 Sardain P, Bessonnet G (2004a) Forces acting on a biped robot. Center of pressure-zero moment point. IEEE Trans Syst Man Cybern Part A Syst Humans 34(5):630–637
Zurück zum Zitat Sardain P, Bessonnet G (2004b) Zero moment point—measurements from a human walker wearing robot feet as shoes. IEEE Trans Syst Man Cybern Part A Syst Humans 34(5):638–648 Sardain P, Bessonnet G (2004b) Zero moment point—measurements from a human walker wearing robot feet as shoes. IEEE Trans Syst Man Cybern Part A Syst Humans 34(5):638–648
Zurück zum Zitat Saunders JBDM, Inman VT, Eberhart HD (1953) The major determinants in normal and pathological gait. J Bone Jt Surg-Am Vol 35-A(3):543–558 Saunders JBDM, Inman VT, Eberhart HD (1953) The major determinants in normal and pathological gait. J Bone Jt Surg-Am Vol 35-A(3):543–558
Zurück zum Zitat Seth A, Pandy MG (2007) A neuromusculoskeletal tracking method for estimating individual muscle forces in human movement. J Biomech 40(2):356–366 Seth A, Pandy MG (2007) A neuromusculoskeletal tracking method for estimating individual muscle forces in human movement. J Biomech 40(2):356–366
Zurück zum Zitat Shih CL (1996) The dynamics and control of a biped walking robot with seven degrees of freedom. J Dyn Syst Meas Control-Trans ASME 118(4):683–690MATH Shih CL (1996) The dynamics and control of a biped walking robot with seven degrees of freedom. J Dyn Syst Meas Control-Trans ASME 118(4):683–690MATH
Zurück zum Zitat Shih CL (1997) Gait synthesis for a biped robot. Robotica 15:599–607 Shih CL (1997) Gait synthesis for a biped robot. Robotica 15:599–607
Zurück zum Zitat Sohl GA, Bobrow JE (2001) A recursive multibody dynamics and sensitivity algorithm for branched kinematic chains. J Dyn Syst Meas Control-Trans ASME 123(3):391–399 Sohl GA, Bobrow JE (2001) A recursive multibody dynamics and sensitivity algorithm for branched kinematic chains. J Dyn Syst Meas Control-Trans ASME 123(3):391–399
Zurück zum Zitat Srinivasan M, Ruina A (2006) Computer optimization of a minimal biped model discovers walking and running. Nature 439(7072):72–75 Srinivasan M, Ruina A (2006) Computer optimization of a minimal biped model discovers walking and running. Nature 439(7072):72–75
Zurück zum Zitat Srinivasan S, Raptis IA, Westervelt ER (2008) Low-dimensional sagittal plane model of normal human walking. J Biomech Eng 130(5):051017 Srinivasan S, Raptis IA, Westervelt ER (2008) Low-dimensional sagittal plane model of normal human walking. J Biomech Eng 130(5):051017
Zurück zum Zitat Srinivasan S, Westervelt ER, Hansen AH (2009) A low-dimensional sagittal-plane forward-dynamic model for asymmetric gait and its application to study the gait of transtibial prosthesis users. J Biomech Eng 131(3):031003 Srinivasan S, Westervelt ER, Hansen AH (2009) A low-dimensional sagittal-plane forward-dynamic model for asymmetric gait and its application to study the gait of transtibial prosthesis users. J Biomech Eng 131(3):031003
Zurück zum Zitat Sutherland D (1988) Development of mature walking. MacKeith, Philadelphia Sutherland D (1988) Development of mature walking. MacKeith, Philadelphia
Zurück zum Zitat Takanishi A, Ishida M, Yamazaki Y, Kato I (1985) The realization of dynamic walking by biped walking robot WL-10RD. In: Proceeding of the 1985 international conference on advanced robotics, pp 459–466 Takanishi A, Ishida M, Yamazaki Y, Kato I (1985) The realization of dynamic walking by biped walking robot WL-10RD. In: Proceeding of the 1985 international conference on advanced robotics, pp 459–466
Zurück zum Zitat Thelen DG, Anderson FC (2006) Using computed muscle control to generate forward dynamic simulations of human walking from experimental data. J Biomech 39(6):1107–1115 Thelen DG, Anderson FC (2006) Using computed muscle control to generate forward dynamic simulations of human walking from experimental data. J Biomech 39(6):1107–1115
Zurück zum Zitat Thelen DG, Anderson FC, Delp SL (2003) Generating dynamic simulations of movement using computed muscle control. J Biomech 36(3):321–328 Thelen DG, Anderson FC, Delp SL (2003) Generating dynamic simulations of movement using computed muscle control. J Biomech 36(3):321–328
Zurück zum Zitat Tlalolini D, Aoustin Y, Chevallereau C (2010) Design of a walking cyclic gait with single support phases and impacts for the locomotor system of a thirteen-link 3D biped using the parametric optimization. Multibody Syst Dyn 23:33–56MathSciNetMATH Tlalolini D, Aoustin Y, Chevallereau C (2010) Design of a walking cyclic gait with single support phases and impacts for the locomotor system of a thirteen-link 3D biped using the parametric optimization. Multibody Syst Dyn 23:33–56MathSciNetMATH
Zurück zum Zitat Vaughan CL (2003) Theories of bipedal walking: an odyssey. J Biomech 36(4):513–523 Vaughan CL (2003) Theories of bipedal walking: an odyssey. J Biomech 36(4):513–523
Zurück zum Zitat Vukobratović M, Borovac B, Potkonjak V (2006) ZMP: a review of some basic misunderstandings. Int J Humanoid Robot 3(2):153–175 Vukobratović M, Borovac B, Potkonjak V (2006) ZMP: a review of some basic misunderstandings. Int J Humanoid Robot 3(2):153–175
Zurück zum Zitat Vukobratović M, Borovac B (2004) Zero-moment point—thirty five years of its life. Int J Humanoid Robot 1(1):157–173 Vukobratović M, Borovac B (2004) Zero-moment point—thirty five years of its life. Int J Humanoid Robot 1(1):157–173
Zurück zum Zitat Vukobratović M, Juricic D (1969) Contribution to synthesis of biped gait. IEEE Trans Biomed Eng Bm16(1):1–6 Vukobratović M, Juricic D (1969) Contribution to synthesis of biped gait. IEEE Trans Biomed Eng Bm16(1):1–6
Zurück zum Zitat Vukobratović M, Borovac B, Surla D, Stokic D (1990) Biped locomotion, dynamics, stability, control and application. Springer Verlag, BerlinMATH Vukobratović M, Borovac B, Surla D, Stokic D (1990) Biped locomotion, dynamics, stability, control and application. Springer Verlag, BerlinMATH
Zurück zum Zitat Vukobratović M, Borovac B, Potkonjak V (2007) Towards a unified understanding of basic notions and terms in humanoid robotics. Robotica 25:87–101 Vukobratović M, Borovac B, Potkonjak V (2007) Towards a unified understanding of basic notions and terms in humanoid robotics. Robotica 25:87–101
Zurück zum Zitat Wang CYE, Bobrow JE, Reinkensmeyer DJ (2005) Dynamic motion planning for the design of robotic gait rehabilitation. J Biomech Eng-Trans ASME 127(4):672–679 Wang CYE, Bobrow JE, Reinkensmeyer DJ (2005) Dynamic motion planning for the design of robotic gait rehabilitation. J Biomech Eng-Trans ASME 127(4):672–679
Zurück zum Zitat Wang Q, Xiang Y, Arora JS, Abdel-Malek K (2007) Alternative formulations for optimization-based human gait planning. In: 48th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference, Honolulu, Hawaii Wang Q, Xiang Y, Arora JS, Abdel-Malek K (2007) Alternative formulations for optimization-based human gait planning. In: 48th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference, Honolulu, Hawaii
Zurück zum Zitat Westervelt ER, Grizzle JW, Koditschek DE (2003) Hybrid zero dynamics of planar biped walkers. IEEE Trans Autom Control 48(1):42–56MathSciNet Westervelt ER, Grizzle JW, Koditschek DE (2003) Hybrid zero dynamics of planar biped walkers. IEEE Trans Autom Control 48(1):42–56MathSciNet
Zurück zum Zitat Winter DA (1991) The biomechanics and motor control of human gait: normal, elderly and pathological. University of Waterloo Press Winter DA (1991) The biomechanics and motor control of human gait: normal, elderly and pathological. University of Waterloo Press
Zurück zum Zitat Xiang Y (2008) Optimization-based dynamic human walking prediction. PhD thesis, The University of Iowa, Iowa City, IA, USA Xiang Y (2008) Optimization-based dynamic human walking prediction. PhD thesis, The University of Iowa, Iowa City, IA, USA
Zurück zum Zitat Xiang Y, Arora JS, Abdel-Malek K (2009a) Optimization-based motion prediction of mechanical systems: sensitivity analysis. Struct Multidisc Optim 37(6):595–608MathSciNet Xiang Y, Arora JS, Abdel-Malek K (2009a) Optimization-based motion prediction of mechanical systems: sensitivity analysis. Struct Multidisc Optim 37(6):595–608MathSciNet
Zurück zum Zitat Xiang Y, Arora JS, Rahmatalla S, Abdel-Malek K (2009b) Optimization-based dynamic human walking prediction: one step formulation. Int J Numer Methods Eng 79(6):667–695MATH Xiang Y, Arora JS, Rahmatalla S, Abdel-Malek K (2009b) Optimization-based dynamic human walking prediction: one step formulation. Int J Numer Methods Eng 79(6):667–695MATH
Zurück zum Zitat Xiang Y, Chung HJ, Kim JH, Bhatt R, Rahmatalla S, Yang J, Marler T, Arora JS, Abdel-Malek K. (2010a) Predictive dynamics: an optimization-based novel approach for human motion simulation. Struct Multidisc Optim. doi:10.1007/s00158-009-0423-z MathSciNet Xiang Y, Chung HJ, Kim JH, Bhatt R, Rahmatalla S, Yang J, Marler T, Arora JS, Abdel-Malek K. (2010a) Predictive dynamics: an optimization-based novel approach for human motion simulation. Struct Multidisc Optim. doi:10.​1007/​s00158-009-0423-z MathSciNet
Zurück zum Zitat Xiang Y, Arora JS, Rahmatalla S, Marler T, Bhatt R, Abdel-Malek K (2010b) Human lifting simulation using a multi-objective optimization approach. Multibody Syst Dyn. doi:10.1007/s11044-009-9186-yMathSciNet Xiang Y, Arora JS, Rahmatalla S, Marler T, Bhatt R, Abdel-Malek K (2010b) Human lifting simulation using a multi-objective optimization approach. Multibody Syst Dyn. doi:10.1007/s11044-009-9186-yMathSciNet
Zurück zum Zitat Yamaguchi GT, Zajac FE (1990) Restoring unassisted natural gait to paraplegics via functional neuromuscular stimulation—a computer-simulation study. IEEE Trans Biomed Eng 37(9):886–902 Yamaguchi GT, Zajac FE (1990) Restoring unassisted natural gait to paraplegics via functional neuromuscular stimulation—a computer-simulation study. IEEE Trans Biomed Eng 37(9):886–902
Zurück zum Zitat Yamaguchi J, Takanishi A, Kato I (1993) Development of a biped walking robot compensating for three-axis moment by trunk motion. In: Proceedings of the 1993 IEEE/RSJ international conference on intelligent robots and systems, Yokohama, Japan, pp 561–566 Yamaguchi J, Takanishi A, Kato I (1993) Development of a biped walking robot compensating for three-axis moment by trunk motion. In: Proceedings of the 1993 IEEE/RSJ international conference on intelligent robots and systems, Yokohama, Japan, pp 561–566
Zurück zum Zitat Yamaguchi GT, Moran DW, Si J (1995) A computationally efficient method for solving the redundant problem in biomechanics. J Biomech 28:999–1005 Yamaguchi GT, Moran DW, Si J (1995) A computationally efficient method for solving the redundant problem in biomechanics. J Biomech 28:999–1005
Zurück zum Zitat Zajac FE (1989) Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. Crit Rev Biomed Eng 17(4):359–411 Zajac FE (1989) Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. Crit Rev Biomed Eng 17(4):359–411
Zurück zum Zitat Zajac FE, Neptune RR, Kautz SA (2002) Biomechanics and muscle coordination of human walking. Part I: introduction to concepts, power transfer, dynamics and simulations. Gait Posture 16(3):215–232 Zajac FE, Neptune RR, Kautz SA (2002) Biomechanics and muscle coordination of human walking. Part I: introduction to concepts, power transfer, dynamics and simulations. Gait Posture 16(3):215–232
Zurück zum Zitat Zajac FE, Neptune RR, Kautz SA (2003) Biomechanics and muscle coordination of human walking: part II: lessons from dynamical simulations and clinical implications. Gait Posture 17(1):1–17 Zajac FE, Neptune RR, Kautz SA (2003) Biomechanics and muscle coordination of human walking: part II: lessons from dynamical simulations and clinical implications. Gait Posture 17(1):1–17
Zurück zum Zitat Zheng YF, Shen J (1990) Gait Synthesis for the Sd-2 Biped Robot to Climb Sloping Surface. IEEE Trans Robot Autom 6(1):86–96 Zheng YF, Shen J (1990) Gait Synthesis for the Sd-2 Biped Robot to Climb Sloping Surface. IEEE Trans Robot Autom 6(1):86–96
Zurück zum Zitat Zheng YF, Sias FR (1988) Design and motion control of practical biped robots. Int J Robot Autom 3(2):70–77 Zheng YF, Sias FR (1988) Design and motion control of practical biped robots. Int J Robot Autom 3(2):70–77
Metadaten
Titel
Physics-based modeling and simulation of human walking: a review of optimization-based and other approaches
verfasst von
Yujiang Xiang
Jasbir S. Arora
Karim Abdel-Malek
Publikationsdatum
01.07.2010
Verlag
Springer-Verlag
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 1/2010
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-010-0496-8

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