Skip to main content
Top
Published in: Intelligent Service Robotics 1/2015

01-01-2015 | Original Research Paper

ZMP-based motion planning algorithm for kinematically redundant manipulator standing on the ground

Authors: Byung-Rok So, HwanTaek Ryu, Byung-Ju Yi

Published in: Intelligent Service Robotics | Issue 1/2015

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The human body can be modeled as a kinematically redundant manipulator which exploits “redundant degrees of freedom” to execute various motions in a suitable fashion. Differently from the typical kinematically redundant robots that are attached to the fixed ground, the zero moment point (ZMP) condition should be taken into account not to fall down. Thus, this paper investigates a motion planning algorithm for kinematically redundant manipulator standing on the ground. For this, a geometric constraint equation is derived from the existing ZMP equation. This constraint equation is formed like a second-order kinematic equation, which enables one to plan the ZMP trajectory in a feed-forward fashion. This constraint equation and the kinematic equation of the manipulator model are solved together. Then, the solution of this composite equation guarantees both the desired operational motion and the ZMP trajectory. The feasibility of the proposed algorithms is verified by simulating and experimenting several motions though a planar 3-DOF manipulator model.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Nakamura Y (1991) Advanced robotics: redundancy and optimization. Addison-Wesley, New-York Nakamura Y (1991) Advanced robotics: redundancy and optimization. Addison-Wesley, New-York
2.
go back to reference Suh KC, Hollerbach JM (1987) Local versus global torque optimization of redundant manipulators. In: Proceedings of IEEE international conference on robotics and automation, pp 619–624 Suh KC, Hollerbach JM (1987) Local versus global torque optimization of redundant manipulators. In: Proceedings of IEEE international conference on robotics and automation, pp 619–624
3.
go back to reference Chiaverini S, Oriolo G, Walker ID (2008) Handbook of robotics. Kinematically redundant manipulators. Springer, London Chiaverini S, Oriolo G, Walker ID (2008) Handbook of robotics. Kinematically redundant manipulators. Springer, London
4.
go back to reference Siciliano B, Slotine J-JE (1997) A general framework for managing multiple tasks in highly redundant robotic systems. In: Proceeding of IEEE internal conference on advanced robotics, pp 1211–1216 Siciliano B, Slotine J-JE (1997) A general framework for managing multiple tasks in highly redundant robotic systems. In: Proceeding of IEEE internal conference on advanced robotics, pp 1211–1216
5.
go back to reference Escande A, Mansard N, Wieber P-B (2014) Hierarchical quadratic programming: fast online humanoid-robot motion generation. Int J Robot Res 33(7):1006–1028CrossRef Escande A, Mansard N, Wieber P-B (2014) Hierarchical quadratic programming: fast online humanoid-robot motion generation. Int J Robot Res 33(7):1006–1028CrossRef
6.
go back to reference Vukobratovic M, Frank AA, Jricic D (1970) On the stability of biped locomotion. IEEE Trans Biomed Eng BME 17(1):25–36CrossRef Vukobratovic M, Frank AA, Jricic D (1970) On the stability of biped locomotion. IEEE Trans Biomed Eng BME 17(1):25–36CrossRef
7.
go back to reference Takanishi Q, Li A, Kato I (1993) Learning control for a biped robot with a trunk. In: Proceedings of IEEE/RSJ international conference on intelligent robots and systems, pp 1771–1777 Takanishi Q, Li A, Kato I (1993) Learning control for a biped robot with a trunk. In: Proceedings of IEEE/RSJ international conference on intelligent robots and systems, pp 1771–1777
8.
go back to reference Dasgupta A, Nakamura Y (1999) Masking feasible walking motion of humanoid robotics from human motion capture data. In: Proceedings of IEEE international conference on robotics and automation, pp 1044–1049 Dasgupta A, Nakamura Y (1999) Masking feasible walking motion of humanoid robotics from human motion capture data. In: Proceedings of IEEE international conference on robotics and automation, pp 1044–1049
9.
go back to reference Park J, Kwon O (2001) Reflex control of biped robot locomotion on a slippery surface. In: Proceedings of IEEE international conference on robotics and automation, pp 4134–4139 Park J, Kwon O (2001) Reflex control of biped robot locomotion on a slippery surface. In: Proceedings of IEEE international conference on robotics and automation, pp 4134–4139
10.
go back to reference Kurazume R, Hasegawa T, Yoneda K (2003) The sway compensation trajectory for a biped robot. In: Proceedings of the IEEE/RSJ international conference on intelligent robots and systems, pp 925–931 Kurazume R, Hasegawa T, Yoneda K (2003) The sway compensation trajectory for a biped robot. In: Proceedings of the IEEE/RSJ international conference on intelligent robots and systems, pp 925–931
11.
go back to reference Chevallereau C, Abba G, Aoustin Y, Plestan F, Westervelt ER, Canudas-de-Wit C, Grizzle JW (2003) RABBIT: a testbed for advanced control theory. IEEE Control Syst Mag 23(5):57–79CrossRef Chevallereau C, Abba G, Aoustin Y, Plestan F, Westervelt ER, Canudas-de-Wit C, Grizzle JW (2003) RABBIT: a testbed for advanced control theory. IEEE Control Syst Mag 23(5):57–79CrossRef
12.
go back to reference Kim J, Chung W, Youm Y, Lee B (2002) Real-time ZMP compensation method using null motion for mobile manipulators. In: Proceedings of IEEE international conference on robotics and automation, pp 1967–1972 Kim J, Chung W, Youm Y, Lee B (2002) Real-time ZMP compensation method using null motion for mobile manipulators. In: Proceedings of IEEE international conference on robotics and automation, pp 1967–1972
13.
go back to reference Sugihara T, Nakamura Y (2003) Contact phase invariant control for humanoid robot based on variable impedant inverted pendulum model. In: Proceedings of IEEE international conference on robotics and automation, vol. 1, IEEE, pp 51–56 Sugihara T, Nakamura Y (2003) Contact phase invariant control for humanoid robot based on variable impedant inverted pendulum model. In: Proceedings of IEEE international conference on robotics and automation, vol. 1, IEEE, pp 51–56
14.
go back to reference 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 IEEE international conference on robotics and automation, 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 IEEE international conference on robotics and automation, pp 1620–1626
15.
go back to reference Suleiman W, Kanehiro F, Miura K, Yoshida E (2009) Improving ZMP-based control model using system identification techniques. In: Proceedings of IEEE/RAS international conference on humanoid robots, pp 74–80 Suleiman W, Kanehiro F, Miura K, Yoshida E (2009) Improving ZMP-based control model using system identification techniques. In: Proceedings of IEEE/RAS international conference on humanoid robots, pp 74–80
16.
go back to reference Park JH, Rhee YK (1998) ZMP trajectory generation for reduced trunk motions of biped robots. In: Proceedings of the IEEE/RSJ international conference on intelligent robots and systems, pp 90–95 Park JH, Rhee YK (1998) ZMP trajectory generation for reduced trunk motions of biped robots. In: Proceedings of the IEEE/RSJ international conference on intelligent robots and systems, pp 90–95
17.
go back to reference Wu H-M, Hwang C-L (2011) Trajectory-based control under ZMP constraint for the 3D biped walking via fuzzy control. In: Proceedings of IEEE international conference on fuzzy systems, pp 706–712 Wu H-M, Hwang C-L (2011) Trajectory-based control under ZMP constraint for the 3D biped walking via fuzzy control. In: Proceedings of IEEE international conference on fuzzy systems, pp 706–712
18.
go back to reference Kim D, Kim N-H, Park G-T (2012) ZMP based neural network inspired humanoid robot control. Nonlinear Dyn 67(1):793–806CrossRef Kim D, Kim N-H, Park G-T (2012) ZMP based neural network inspired humanoid robot control. Nonlinear Dyn 67(1):793–806CrossRef
19.
go back to reference Yoshikawa T (1985) Manipulability of robotic mechanisms. Int J Robot Res, pp 3–9 Yoshikawa T (1985) Manipulability of robotic mechanisms. Int J Robot Res, pp 3–9
20.
go back to reference Freeman RA, Tesar D (1998) Dynamic modeling of serial and parallel mechanisms/robotic systems, part I-methodology, part II-applications. Proceedings of 20th ASME mechanisms conference 15(3):7–27 Freeman RA, Tesar D (1998) Dynamic modeling of serial and parallel mechanisms/robotic systems, part I-methodology, part II-applications. Proceedings of 20th ASME mechanisms conference 15(3):7–27
21.
go back to reference So BR, Choi JY, Yi B-J, Kim WK (2005) A new ZMP constraint equation with application to motion planning of humanoid using kinematic redundancy. In: Proceedings of the IEEE international conference on intelligent robots and system, pp 1794–1800 So BR, Choi JY, Yi B-J, Kim WK (2005) A new ZMP constraint equation with application to motion planning of humanoid using kinematic redundancy. In: Proceedings of the IEEE international conference on intelligent robots and system, pp 1794–1800
22.
go back to reference Sardain P, Bessonnet G (2004) Forces acting on a biped robot. Center of pressure-zero moment point. IEEE Trans Syst Man Cybernet Part A Syst Hum 34(5):630–637CrossRef Sardain P, Bessonnet G (2004) Forces acting on a biped robot. Center of pressure-zero moment point. IEEE Trans Syst Man Cybernet Part A Syst Hum 34(5):630–637CrossRef
23.
go back to reference Sinyukov D, Desmond R, Dickerman M, Fleming J, Schaufeld J, Padir T (2014) Multi-modal control framework for a semi-autonomous wheelchair using modular sensor designs. Intell Serv Robot 7(3):145–155 Sinyukov D, Desmond R, Dickerman M, Fleming J, Schaufeld J, Padir T (2014) Multi-modal control framework for a semi-autonomous wheelchair using modular sensor designs. Intell Serv Robot 7(3):145–155
Metadata
Title
ZMP-based motion planning algorithm for kinematically redundant manipulator standing on the ground
Authors
Byung-Rok So
HwanTaek Ryu
Byung-Ju Yi
Publication date
01-01-2015
Publisher
Springer Berlin Heidelberg
Published in
Intelligent Service Robotics / Issue 1/2015
Print ISSN: 1861-2776
Electronic ISSN: 1861-2784
DOI
https://doi.org/10.1007/s11370-014-0164-8

Other articles of this Issue 1/2015

Intelligent Service Robotics 1/2015 Go to the issue