Title
Neighboring optimal control for periodic tasks for systems with discontinuous dynamics
Abstract
We propose a trajectory-based optimal control method for periodic tasks for systems with discontinuous dynamics. A general method, dynamic programming, suffers from the problem of dimensionality. We use local models of the optimal control law to construct a local controller. We combine a parametric trajectory optimization method and differential dynamic programming (DDP) to find the optimal periodic trajectory in a periodic task. By formulating the optimal control problem with an infinite time horizon, DDP generates time-invariant local models of the optimal control law. For DDP, the value function at dynamics discontinuities is approximated by a second order Taylor series. The utility of the proposed method is evaluated using simulated walking control of a five-link biped robot. The results show lower torques and more robustness from the proposed controller than a PD servo controller.
Year
DOI
Venue
2011
10.1007/s11432-011-4185-z
中国科学:信息科学(英文版)
Keywords
Field
DocType
differential dynamic programming,trajectory optimization,optimal control,biped walking control,second order,taylor series,generation time,value function
Dynamic programming,Mathematical optimization,Control theory,Differential dynamic programming,Optimal control,Trajectory optimization,Control theory,Bellman equation,Servo control,Mathematics,Trajectory
Journal
Volume
Issue
ISSN
54
03
1869-1919
Citations 
PageRank 
References 
4
0.70
20
Authors
3
Name
Order
Citations
PageRank
chenggang liu1403.74
Christopher G. Atkeson25441849.86
Jianbo Su323138.20