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2017 | OriginalPaper | Chapter

On the Relevance of Common Humanoid Gait Generation Strategies in Human Locomotion: An Inverse Optimal Control Approach

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Abstract

We formulate and solve an inverse optimal control problem that allows us to study human gait based on motion capture data and a template model that is defined by a simple mechanical model of walking with two elastic legs. To this end we derive an optimal control model that consists of two parts: a three-dimensional template walker and an objective, defined by a linear combination of physically meaningful optimization criteria known from humanoid robotics. Based on a direct all-at-once approach we identify the objective weights such that the resulting optimal gait fits real human motion data as closely as possible. Considering knee actuation, foot placement and phase duration as controls we identify the optimal weights for six different trials on level ground from two very different subjects. In future work the identified criteria will be used to simulate optimized human gait and to generate reference trajectories for humanoid gait control.

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Literature
1.
go back to reference Albrecht, S., Ramirez-Amaro, K., Weikersdorfer, D., Leibold, M., Ulbrich, M., Beetz, M.: Imitating human reaching motions using physically inspired optimization principles. In: 11th IEEE-RAS International Conference on Humanoid Robots (Humanoids), pp. 602–607 (2011) Albrecht, S., Ramirez-Amaro, K., Weikersdorfer, D., Leibold, M., Ulbrich, M., Beetz, M.: Imitating human reaching motions using physically inspired optimization principles. In: 11th IEEE-RAS International Conference on Humanoid Robots (Humanoids), pp. 602–607 (2011)
2.
go back to reference Alexander, R.M.: The gaits of bipedal and quadrupedal animals. Int. J. Robot. Res. 3(2), 49–59 (1984)CrossRef Alexander, R.M.: The gaits of bipedal and quadrupedal animals. Int. J. Robot. Res. 3(2), 49–59 (1984)CrossRef
3.
go back to reference Blickhan, R.: The spring-mass model for running and hopping. J. Biomech. 22(11), 1217–1227 (1989)CrossRef Blickhan, R.: The spring-mass model for running and hopping. J. Biomech. 22(11), 1217–1227 (1989)CrossRef
4.
go back to reference Bock, H.G., Plitt, K.-J.: A multiple shooting algorithm for direct solution of optimal control problems. In: Proceedings of the IFAC World Congress, pp. 242–247 (1984) Bock, H.G., Plitt, K.-J.: A multiple shooting algorithm for direct solution of optimal control problems. In: Proceedings of the IFAC World Congress, pp. 242–247 (1984)
5.
go back to reference Clever, D., Mombaur, K.: A new template model for optimization studies of human walking on different terrains. In: 2014 14th IEEE-RAS International Conference on Humanoid Robots (Humanoids), pp. 500–505. IEEE (2014) Clever, D., Mombaur, K.: A new template model for optimization studies of human walking on different terrains. In: 2014 14th IEEE-RAS International Conference on Humanoid Robots (Humanoids), pp. 500–505. IEEE (2014)
6.
go back to reference Clever, D., Hatz, K., Mombaur, K.: Studying dynamical principles of human locomotion using inverse optimal control. Proc. Appl. Math. Mech. 14(1), 801–802 (2014)CrossRef Clever, D., Hatz, K., Mombaur, K.: Studying dynamical principles of human locomotion using inverse optimal control. Proc. Appl. Math. Mech. 14(1), 801–802 (2014)CrossRef
7.
go back to reference Felis, M.L., Mombaur, K., Kadone, H., Berthoz, A.: Modeling and identification of emotional aspects of locomotion. J. Comput. Sci. 4, 255–261 (2013)CrossRef Felis, M.L., Mombaur, K., Kadone, H., Berthoz, A.: Modeling and identification of emotional aspects of locomotion. J. Comput. Sci. 4, 255–261 (2013)CrossRef
8.
go back to reference Geyer, H., Seyfarth, A., Blickhan, R.: Compliant leg behaviour explains basic dynamics of walking and running. Proc. R. Soc. B Biol. Sci. 273(1603), 2861–2867 (2006)CrossRef Geyer, H., Seyfarth, A., Blickhan, R.: Compliant leg behaviour explains basic dynamics of walking and running. Proc. R. Soc. B Biol. Sci. 273(1603), 2861–2867 (2006)CrossRef
9.
go back to reference Hatz, K.: Efficient numerical methods for hierarchical dynamic optimization with application to cerebral palsy gait modeling. PhD thesis, Heidelberg University (2014) Hatz, K.: Efficient numerical methods for hierarchical dynamic optimization with application to cerebral palsy gait modeling. PhD thesis, Heidelberg University (2014)
10.
go back to reference Hatz, K., Schlöder, J.P., Bock, H.G.: Estimating parameters in optimal control problems. SIAM J. Sci. Comput. 34(3), A1707–A1728 (2012)MathSciNetCrossRefMATH Hatz, K., Schlöder, J.P., Bock, H.G.: Estimating parameters in optimal control problems. SIAM J. Sci. Comput. 34(3), A1707–A1728 (2012)MathSciNetCrossRefMATH
11.
go back to reference Hof, A.L.: The ‘extrapolated center of mass’ concept suggests a simple control of balance in walking. Hum. Mov. Sci. 27(1), 112–125 (2008)CrossRef Hof, A.L.: The ‘extrapolated center of mass’ concept suggests a simple control of balance in walking. Hum. Mov. Sci. 27(1), 112–125 (2008)CrossRef
13.
go back to reference Kuo, A.D.: The six determinants of gait and the inverted pendulum analogy: a dynamic walking perspective. Hum. Mov. Sci. 26(4), 617–656 (2007)CrossRef Kuo, A.D.: The six determinants of gait and the inverted pendulum analogy: a dynamic walking perspective. Hum. Mov. Sci. 26(4), 617–656 (2007)CrossRef
14.
go back to reference Lee, S.-H., Goswami, A.: Reaction mass pendulum (RMP): an explicit model for centroidal angular momentum of humanoid robots. In: 2007 IEEE International Conference on Robotics and Automation, pp. 4667–4672. IEEE (2007) Lee, S.-H., Goswami, A.: Reaction mass pendulum (RMP): an explicit model for centroidal angular momentum of humanoid robots. In: 2007 IEEE International Conference on Robotics and Automation, pp. 4667–4672. IEEE (2007)
15.
go back to reference Leineweber, D.B., Bauer, I., Bock, H.G., Schlöder, J.P.: An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization. Part 1: theoretical aspects. Comput. Chem. Eng. 27(2), 157–166 (2003) Leineweber, D.B., Bauer, I., Bock, H.G., Schlöder, J.P.: An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization. Part 1: theoretical aspects. Comput. Chem. Eng. 27(2), 157–166 (2003)
16.
go back to reference Mandery, C., Terlemez, Ö., Do, M., Vahrenkamp, N., Asfour, T.: The KIT whole-body human motion database. In: IEEE International Conference on Advanced Robotics (ICAR 2015), pp. 329–336 (2015) Mandery, C., Terlemez, Ö., Do, M., Vahrenkamp, N., Asfour, T.: The KIT whole-body human motion database. In: IEEE International Conference on Advanced Robotics (ICAR 2015), pp. 329–336 (2015)
17.
go back to reference Mombaur, K., Truong, A., Laumond, J.-P.: From human to humanoid locomotion—an inverse optimal control approach. Auton. Robot. 28(3):369–383 (2010)CrossRef Mombaur, K., Truong, A., Laumond, J.-P.: From human to humanoid locomotion—an inverse optimal control approach. Auton. Robot. 28(3):369–383 (2010)CrossRef
18.
go back to reference Pratt, J., Carff, J., Drakunov, S., Goswami, A.: Capture point: a step toward humanoid push recovery. In: 2006 6th IEEE-RAS International Conference on Humanoid Robots, pp. 200–207. IEEE (2006) Pratt, J., Carff, J., Drakunov, S., Goswami, A.: Capture point: a step toward humanoid push recovery. In: 2006 6th IEEE-RAS International Conference on Humanoid Robots, pp. 200–207. IEEE (2006)
19.
go back to reference Rummel, J., Blum, Y., Seyfarth, A.: Robust and efficient walking with spring-like legs. Bioinspir. Biomim. 5(4), 046004 (2010). doi:10.1088/1748-3182/5/4/046004CrossRef Rummel, J., Blum, Y., Seyfarth, A.: Robust and efficient walking with spring-like legs. Bioinspir. Biomim. 5(4), 046004 (2010). doi:10.1088/1748-3182/5/4/046004CrossRef
20.
go back to reference Wu, A., Geyer, H.: The 3D spring-mass model reveals a time-based deadbeat control for highly robust running and steering in uncertain environments. IEEE Trans. Robot. 29(5), 1114–1124 (2013)CrossRef Wu, A., Geyer, H.: The 3D spring-mass model reveals a time-based deadbeat control for highly robust running and steering in uncertain environments. IEEE Trans. Robot. 29(5), 1114–1124 (2013)CrossRef
Metadata
Title
On the Relevance of Common Humanoid Gait Generation Strategies in Human Locomotion: An Inverse Optimal Control Approach
Authors
Debora Clever
Katja Mombaur
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-67168-0_3

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