Online Synchronous Approximate Optimal Learning Algorithm for Multiplayer Nonzero-Sum Games With Unknown Dynamics
Liu, Derong; Li, Hongliang; Wang, Ding
发表期刊IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
2014-08-01
卷号44期号:8页码:1015-1027
文章类型Article
摘要In this paper, we develop an online synchronous approximate optimal learning algorithm based on policy iteration to solve a multiplayer nonzero-sum game without the requirement of exact knowledge of dynamical systems. First, we prove that the online policy iteration algorithm for the nonzero-sum game is mathematically equivalent to the quasi-Newton's iteration in a Banach space. Then, a model neural network is established to identify the unknown continuous-time nonlinear system using input-output data. For each player, a critic neural network and an action neural network are used to approximate its value function and control policy, respectively. Our algorithm only needs to tune the weights of critic neural networks, so there will be less computational complexity during the learning process. All the neural network weights are updated online in real-time, continuously and synchronously. Furthermore, the uniform ultimate bounded stability of the closed-loop system is proved based on Lyapunov approach. Finally, two simulation examples are given to demonstrate the effectiveness of the developed scheme.
关键词Adaptive Dynamic Programming (Adp) Approximate Dynamic Programming Multiplayer Nonzero-sum Games Neural Networks Neuro-dynamic Programming Policy Iteration
WOS标题词Science & Technology ; Technology
关键词[WOS]TIME NONLINEAR-SYSTEMS ; H-INFINITY CONTROL ; ADAPTIVE CRITIC DESIGNS ; POLICY ITERATION ; FEEDBACK-CONTROL ; CONTROL SCHEME ; REINFORCEMENT ; STATE ; CONTROLLER ; EQUATIONS
收录类别SCI
语种英语
WOS研究方向Automation & Control Systems ; Computer Science
WOS类目Automation & Control Systems ; Computer Science, Cybernetics
WOS记录号WOS:000342278500004
引用统计
被引频次:186[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/173211/3845
专题多模态人工智能系统全国重点实验室_复杂系统智能机理与平行控制团队
作者单位Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
第一作者单位中国科学院自动化研究所
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Liu, Derong,Li, Hongliang,Wang, Ding. Online Synchronous Approximate Optimal Learning Algorithm for Multiplayer Nonzero-Sum Games With Unknown Dynamics[J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS,2014,44(8):1015-1027.
APA Liu, Derong,Li, Hongliang,&Wang, Ding.(2014).Online Synchronous Approximate Optimal Learning Algorithm for Multiplayer Nonzero-Sum Games With Unknown Dynamics.IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS,44(8),1015-1027.
MLA Liu, Derong,et al."Online Synchronous Approximate Optimal Learning Algorithm for Multiplayer Nonzero-Sum Games With Unknown Dynamics".IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS 44.8(2014):1015-1027.
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