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Model-Free Adaptive Control for Unknown Nonlinear Zero-Sum Differential Game

文献类型:期刊论文

作者Zhong, Xiangnan1; He, Haibo1; Wang, Ding2; Ni, Zhen3
刊名IEEE TRANSACTIONS ON CYBERNETICS
出版日期2018-05-01
卷号48期号:5页码:1633-1646
关键词Adaptive Dynamic Programming (Adp) Globalized Dual Heuristic Dynamic Programming (Gdhp) Model-free Neural Networks Zero-sum Game
DOI10.1109/TCYB.2017.2712617
文献子类Article
英文摘要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.
WOS关键词H-INFINITY CONTROL ; STATE-FEEDBACK CONTROL ; DISCRETE-TIME-SYSTEMS ; MARKOV JUMP SYSTEMS ; GOAL REPRESENTATION ; CONTROL SCHEME ; ALGORITHM ; APPROXIMATION ; ITERATION ; TRACKING
WOS研究方向Automation & Control Systems ; Computer Science
语种英语
WOS记录号WOS:000429247700023
资助机构National Science Foundation(ECCS 1053717 ; National Natural Science Foundation of China(51529701) ; Beijing Natural Science Foundation(4162065) ; CMMI 1526835)
源URL[http://ir.ia.ac.cn/handle/173211/22012]  
专题自动化研究所_复杂系统管理与控制国家重点实验室_智能化团队
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
推荐引用方式
GB/T 7714
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.

入库方式: OAI收割

来源:自动化研究所

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