Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances

doi:10.1088/1674-1056/26/3/030505

CORC > 自动化研究所 > 中国科学院自动化研究所 > 复杂系统管理与控制国家重点实验室 > 平行控制

	Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances
	Song, Ruizhuo 1; Wei, Qinglai2
刊名	CHINESE PHYSICS B
	2017-03-01
卷号	26 期号:3
关键词	Adaptive Dynamic Programming Approximate Dynamic Programming Chaotic System Zero-sum
DOI	10.1088/1674-1056/26/3/030505
文献子类	Article
英文摘要	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.
WOS关键词	TIME NONLINEAR-SYSTEMS ; DUFFING OSCILLATOR ; SYNCHRONIZATION ; ATTRACTOR ; NETWORKS ; LORENZ
WOS研究方向	Physics
语种	英语
WOS记录号	WOS:000396129200010
资助机构	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)
内容类型	期刊论文
源URL	[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
推荐引用方式 GB/T 7714	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).