Experience Replay for Optimal Control of Nonzero-Sum Game Systems With Unknown Dynamics
Zhao, Dongbin; Zhang, Qichao; Wang, Ding; Zhu, Yuanheng
2016-03-01
发表期刊IEEE TRANSACTIONS ON CYBERNETICS
卷号46期号:3页码:854-865
文章类型Article
摘要In this paper, an approximate online equilibrium solution is developed for an N-player nonzero-sum (NZS) game systems with completely unknown dynamics. First, a model identifier based on a three-layer neural network (NN) is established to reconstruct the unknown NZS games systems. Moreover, the identifier weight vector is updated based on experience replay technique which can relax the traditional persistence of excitation condition to a simplified condition on recorded data. Then, the single-network adaptive dynamic programming (ADP) with experience replay algorithm is proposed for each player to solve the coupled nonlinear Hamilton-Jacobi (HJ) equations, where only the critic NN weight vectors are required to tune for each player. The feedback Nash equilibrium is provided by the solution of the coupled HJ equations. Based on the experience replay technique, a novel critic NN weights tuning law is proposed to guarantee the stability of the closed-loop system and the convergence of the value functions. Furthermore, a Lyapunov-based stability analysis shows that the uniform ultimate boundedness of the closed-loop system is achieved. Finally, two simulation examples are given to verify the effectiveness of the proposed control scheme.
关键词Adaptive Dynamic Programming (Adp) Experience Replay Nonzero-sum (Nzs) Games Optimal Control Unknown Dynamics
WOS标题词Science & Technology ; Technology
DOI10.1109/TCYB.2015.2488680
关键词[WOS]TIME NONLINEAR-SYSTEMS ; DIFFERENTIAL-GAMES ; ALGORITHM ; NETWORKS
收录类别SCI
语种英语
项目资助者National Natural Science Foundation of China(61273136 ; 61573353 ; 61533017 ; 61304086)
WOS研究方向Computer Science
WOS类目Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS记录号WOS:000370963500023
引用统计
被引频次:42[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/11349
专题复杂系统管理与控制国家重点实验室_深度强化学习
作者单位Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
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Zhao, Dongbin,Zhang, Qichao,Wang, Ding,et al. Experience Replay for Optimal Control of Nonzero-Sum Game Systems With Unknown Dynamics[J]. IEEE TRANSACTIONS ON CYBERNETICS,2016,46(3):854-865.
APA Zhao, Dongbin,Zhang, Qichao,Wang, Ding,&Zhu, Yuanheng.(2016).Experience Replay for Optimal Control of Nonzero-Sum Game Systems With Unknown Dynamics.IEEE TRANSACTIONS ON CYBERNETICS,46(3),854-865.
MLA Zhao, Dongbin,et al."Experience Replay for Optimal Control of Nonzero-Sum Game Systems With Unknown Dynamics".IEEE TRANSACTIONS ON CYBERNETICS 46.3(2016):854-865.
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