Model-Free Adaptive Control for Unknown Nonlinear Zero-Sum Differential Game
Zhong, Xiangnan1; He, Haibo1; Wang, Ding2; Ni, Zhen3
2018-05-01
发表期刊IEEE TRANSACTIONS ON CYBERNETICS
卷号48期号:5页码:1633-1646
文章类型Article
摘要In this paper, we present a new model-free globalized dual heuristic dynamic programming (GDHP) approach for the discrete-time nonlinear zero-sum game problems. First, the online learning algorithm is proposed based on the GDHP method to solve the Hamilton-Jacobi-Isaacs equation associated with H-infinity optimal regulation control problem. By setting backward one step of the definition of performance index, the requirement of system dynamics, or an identifier is relaxed in the proposed method. Then, three neural networks are established to approximate the optimal saddle point feedback control law, the disturbance law, and the performance index, respectively. The explicit updating rules for these three neural networks are provided based on the data generated during the online learning along the system trajectories. The stability analysis in terms of the neural network approximation errors is discussed based on the Lyapunov approach. Finally, two simulation examples are provided to show the effectiveness of the proposed method.
关键词Adaptive Dynamic Programming (Adp) Globalized Dual Heuristic Dynamic Programming (Gdhp) Model-free Neural Networks Zero-sum Game
WOS标题词Science & Technology ; Technology
DOI10.1109/TCYB.2017.2712617
关键词[WOS]H-INFINITY CONTROL ; STATE-FEEDBACK CONTROL ; DISCRETE-TIME-SYSTEMS ; MARKOV JUMP SYSTEMS ; GOAL REPRESENTATION ; CONTROL SCHEME ; ALGORITHM ; APPROXIMATION ; ITERATION ; TRACKING
收录类别SCI
语种英语
项目资助者National Science Foundation(ECCS 1053717 ; National Natural Science Foundation of China(51529701) ; Beijing Natural Science Foundation(4162065) ; CMMI 1526835)
WOS研究方向Automation & Control Systems ; Computer Science
WOS类目Automation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS记录号WOS:000429247700023
引用统计
被引频次:1[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/173211/22012
专题复杂系统管理与控制国家重点实验室_平行控制
作者单位1.Univ Rhode Isl, Dept Elect Comp & Biomed Engn, Kingston, RI 02881 USA
2.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
3.South Dakota State Univ, Dept Elect Engn & Comp Sci, Brookings, SD 57007 USA
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Zhong, Xiangnan,He, Haibo,Wang, Ding,et al. Model-Free Adaptive Control for Unknown Nonlinear Zero-Sum Differential Game[J]. IEEE TRANSACTIONS ON CYBERNETICS,2018,48(5):1633-1646.
APA Zhong, Xiangnan,He, Haibo,Wang, Ding,&Ni, Zhen.(2018).Model-Free Adaptive Control for Unknown Nonlinear Zero-Sum Differential Game.IEEE TRANSACTIONS ON CYBERNETICS,48(5),1633-1646.
MLA Zhong, Xiangnan,et al."Model-Free Adaptive Control for Unknown Nonlinear Zero-Sum Differential Game".IEEE TRANSACTIONS ON CYBERNETICS 48.5(2018):1633-1646.
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