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Adaptive dynamic programming for online solution of a zero-sum differential game

控制理论与应用（英文版） 2011年第3期9卷 353-360页

作者： Draguna VRABIE Frank LEWIS United Technologies Research Center East Hartford Automation and Robotics Research Institute University of Texas at Arlington

This paper will present an approximate/adaptive dynamic programming(ADP) algorithm,that uses the idea of integral reinforcement learning(IRL),to determine online the Nash equilibrium solution for the two-player zerosum differential game with linear dynamics and infinite horizon quadratic *** algorithm is built around an iterative method that has been developed in the control engineering community for solving the continuous-time game algebraic Riccati equation(CT-GARE),which underlies the game *** here show how the ADP techniques will enhance the capabilities of the offline method allowing an online solution without the requirement of complete knowledge of the system *** feasibility of the ADP scheme is demonstrated in simulation for a power system control *** adaptation goal is the best control policy that will face in an optimal manner the highest load disturbance.

关键词： Approximate/Adaptive dynamic programming game algebraic Riccati equation zero-sum differential game Nash equilibrium

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Distributed zero-sum differential game for Multi-Agent Nonlinear Systems via Adaptive Dynamic Programming

Distributed Zero-Sum Differential Game for Multi-Agent Nonli...

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第37届中国控制会议

作者： Jingliang Sun Chunsheng Liu College of Automation Engineering Nanjing University of Aeronautics and Astronautics

In this paper,the distributed zero-sum differential game problem for multi-agent nonlinear systems is investigated by using adaptive dynamic programming（ADP） technique,which brings together the distributed control,zero-sum differential graphical game and *** find the cooperative Nash-equilibrium solutions of the associated coupled Hamilton-Jacobi-Isaacs（HJI） equations,the ADP technique is employed,in which a critic network is constructed to approximate the cooperative cost function online with a novel updating *** utilizing the Lyapunov direct method,the closed-loop system and weight estimation errors are guaranteed to be uniformly ultimately bounded（UUB）.Finally,simulation results demonstrate the effectiveness of the proposed method.

关键词： Distributed control zero-sum differential game adaptive dynamic programming(ADP) multi-agent system(MAS)

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An Approximate Control Algorithm for zero-sum differential games Using Adaptive Critic Technique

An Approximate Control Algorithm for Zero-sum Differential G...

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第37届中国控制会议

作者： Ke Wang Chaoxu Mu Yong Zhang Weiqiang Liu School of Electrical and Information Engineering Tianjin University School of Automation Southeast University

This paper investigates the optimal control for a class of continuous-time systems in the framework of zero-sum differential game. A novel adaptive dynamic programming（ADP）algorithm is proposed to approximate the optimal value function through a critic neural network（NN）. First, a class of control systems with external disturbances are formulated as two-player zero-sum differential game. Then, the proposed approximate structure is implemented to obtain the approximate optimal control policy and the worst-base disturbance policy. Moreover,Lyapunov theory is utilized to demonstrate the uniform ultimate bounded stability of the closed-loop system. Finally, two simulation examples are given to demonstrate the effectiveness of the developed control scheme.

关键词： Optimal control zero-sum differential game adaptive dynamic programming(ADP) neural network(NN)

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