Decentralised zero-sum differential game for a class of large-scale interconnected systems via adaptive dynamic programming
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所属单位：自动化学院
发表刊物：INTERNATIONAL JOURNAL OF CONTROL
关键字：Differential game large-scale systems decentralised control adaptive dynamic programming (ADP) matched interconnections
摘要：In this paper, a novel decentralised differential game strategy for large-scale nonlinear systems with matched interconnections is developed by using adaptive dynamic programming technique. First, the Nash-equilibrium solutions of the corresponding isolated differential game subsystems are found by appropriately redefining the associated cost functions accounting for the bounds of interconnections. Then, the decentralised differential game strategy is established by integrating all the modified Nash-equilibrium solutions of the isolated subsystems to stabilise the overall system. Next, the solutions of Hamilton-Jacobi-Isaaci equations are approximated online by constructing a set of critic neural networks with adaptation law of weights. The stability analysis of each subsystem is provided to show that all the signals in the closed-loop system are guaranteed to be bounded by utilising Lyapunov method. Finally, the effectiveness of the proposed decentralised differential game method is illustrated by a simple example.
ISSN号：0020-7179
是否译文：否
发表时间：2019-12-02
合写作者：Sun, Jingliang
通讯作者：刘春生