Cooperative differential game-based approximate optimal tracking control for reconfigurable robot

B. Dong, Tianjiao An, B. Ma, Yuan-chun Li
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Abstract

In this paper, a cooperative differential game-based approximate optimal tracking control method is proposed for the reconfigurable robot system. The reconfigurable robot system's dynamic model is expressed by the subsystem's formulation. According to the adaptive dynamic programming (ADP) approach, the approximate optimal tracking control policy is developed by a fuzzy logic-based cooperative differential game manner for addressing the coupled HJB equation. Then, the closed-loop robotic system is proved to be asymptotically stable according to the Lyapunov theorem. At last, two types of simulation results have proved the effectiveness as well as the advantage of the proposed cooperative differential game-based approximate optimal tracking control method.
基于协作微分对策的可重构机器人近似最优跟踪控制
针对可重构机器人系统,提出了一种基于协作微分对策的近似最优跟踪控制方法。可重构机器人系统的动力学模型用子系统的公式表示。根据自适应动态规划(ADP)方法,采用基于模糊逻辑的协同微分对策方法求解耦合HJB方程,建立了近似最优跟踪控制策略。然后,根据李雅普诺夫定理证明了闭环机器人系统的渐近稳定。最后,两类仿真结果都证明了所提出的基于协同微分对策的近似最优跟踪控制方法的有效性和优越性。
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