Optimal Control Models of Goal-oriented Human Locomotion
Author(s) -
Yacine Chitour,
Frédéric Jean,
Paolo Mason
Publication year - 2012
Publication title -
siam journal on control and optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.486
H-Index - 116
eISSN - 1095-7138
pISSN - 0363-0129
DOI - 10.1137/100799344
Subject(s) - optimal control , mathematics , infinity , control theory (sociology) , point (geometry) , control (management) , mathematical optimization , dynamical systems theory , trajectory , dynamical system (definition) , computer science , mathematical analysis , artificial intelligence , physics , geometry , quantum mechanics , astronomy
International audienceIn recent papers it has been suggested that human locomotion may be modeled as an inverse optimal control problem. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem that has to be determined. We discuss the modeling of both the dynamical system and the cost to be minimized, and we analyze the corresponding optimal synthesis. The main results describe the asymptotic behavior of the optimal trajectories as the target point goes to infinity
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