Knowledge Commons of Institute of Automation,CAS
Model-Free Adaptive Control for Unknown Nonlinear Zero-Sum Differential Game | |
Zhong, Xiangnan1; He, Haibo1; Wang, Ding2; Ni, Zhen3 | |
发表期刊 | IEEE TRANSACTIONS ON CYBERNETICS |
2018-05-01 | |
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 |
DOI | 10.1109/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 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/22012 |
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 | 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. |
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