Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances
Song, Ruizhuo1; Wei, Qinglai2
2017-03-01
发表期刊CHINESE PHYSICS B
卷号26期号:3
文章类型Article
摘要We develop an optimal tracking control method for chaotic system with unknown dynamics and disturbances. The method allows the optimal cost function and the corresponding tracking control to update synchronously. According to the tracking error and the reference dynamics, the augmented system is constructed. Then the optimal tracking control problem is defined. The policy iteration (PI) is introduced to solve the min-max optimization problem. The off-policy adaptive dynamic programming (ADP) algorithm is then proposed to find the solution of the tracking Hamilton-Jacobi-Isaacs (HJI) equation online only using measured data and without any knowledge about the system dynamics. Critic neural network (CNN), action neural network (ANN), and disturbance neural network (DNN) are used to approximate the cost function, control, and disturbance. The weights of these networks compose the augmented weight matrix, and the uniformly ultimately bounded (UUB) of which is proven. The convergence of the tracking error system is also proven. Two examples are given to show the effectiveness of the proposed synchronous solution method for the chaotic system tracking problem.
关键词Adaptive Dynamic Programming Approximate Dynamic Programming Chaotic System Zero-sum
WOS标题词Science & Technology ; Physical Sciences
DOI10.1088/1674-1056/26/3/030505
关键词[WOS]TIME NONLINEAR-SYSTEMS ; DUFFING OSCILLATOR ; SYNCHRONIZATION ; ATTRACTOR ; NETWORKS ; LORENZ
收录类别SCI
语种英语
项目资助者National Natural Science Foundation of China(61304079 ; Fundamental Research Funds for the Central Universities, China(FRF-TP-15-056A3) ; Open Research Project from SKLMCCS, China(20150104) ; 61673054 ; 61374105)
WOS研究方向Physics
WOS类目Physics, Multidisciplinary
WOS记录号WOS:000396129200010
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/173211/14411
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 Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
2.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
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Song, Ruizhuo,Wei, Qinglai. Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances[J]. CHINESE PHYSICS B,2017,26(3).
APA Song, Ruizhuo,&Wei, Qinglai.(2017).Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances.CHINESE PHYSICS B,26(3).
MLA Song, Ruizhuo,et al."Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances".CHINESE PHYSICS B 26.3(2017).
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