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Model-Free Adaptive Control for Unknown Nonlinear Zero-Sum Differential Game
Zhong, Xiangnan1; He, Haibo1; Wang, Ding2; Ni, Zhen3
Source PublicationIEEE TRANSACTIONS ON CYBERNETICS
2018-05-01
Volume48Issue:5Pages:1633-1646
SubtypeArticle
AbstractIn 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.
KeywordAdaptive Dynamic Programming (Adp) Globalized Dual Heuristic Dynamic Programming (Gdhp) Model-free Neural Networks Zero-sum Game
WOS HeadingsScience & Technology ; Technology
DOI10.1109/TCYB.2017.2712617
WOS KeywordH-INFINITY CONTROL ; STATE-FEEDBACK CONTROL ; DISCRETE-TIME-SYSTEMS ; MARKOV JUMP SYSTEMS ; GOAL REPRESENTATION ; CONTROL SCHEME ; ALGORITHM ; APPROXIMATION ; ITERATION ; TRACKING
Indexed BySCI
Language英语
Funding OrganizationNational Science Foundation(ECCS 1053717 ; National Natural Science Foundation of China(51529701) ; Beijing Natural Science Foundation(4162065) ; CMMI 1526835)
WOS Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS IDWOS:000429247700023
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/22012
Collection复杂系统管理与控制国家重点实验室_平行控制
Affiliation1.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
Recommended Citation
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.
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