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Neighboring optimal control for periodic tasks for systems with discontinuous dynamics

查看全文 作  者:LIU [1]ChengGang;ATKESON Christopher [2]G;SU [1]JianBo 高影响力作者 机构地区:[1]Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China;[2]Robotics Institute, Carnegie Mellon University, Pittsburgh 15213, PA, USA高影响力机构 出  处:《Science China(Information Sciences)》索引2011年第54卷第3期,共11页高影响力期刊 基  金:supported by the National Natural Science Foundation of China (Grant No. 60935001);the National Science Foundation of US (Grant Nos. ECCS-0325383, EEC-0540865, ECCS-0824077,IIS-0964581) 摘  要: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 simu- lated 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. 关 键 词:最优控制方法 动力学系统 微分动态规划 最优控制律 本地控制器 间断 邻国 连续动态系统
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