CASIA OpenIR  > 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, Ruizhuo1; Wei, Qinglai2
Source PublicationCHINESE PHYSICS B
2017-03-01
Volume26Issue:3
SubtypeArticle
AbstractWe 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.
KeywordAdaptive Dynamic Programming Approximate Dynamic Programming Chaotic System Zero-sum
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1088/1674-1056/26/3/030505
WOS KeywordTIME NONLINEAR-SYSTEMS ; DUFFING OSCILLATOR ; SYNCHRONIZATION ; ATTRACTOR ; NETWORKS ; LORENZ
Indexed BySCI
Language英语
Funding OrganizationNational 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 Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000396129200010
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/14411
Collection复杂系统管理与控制国家重点实验室_平行控制
Affiliation1.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
Recommended Citation
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).
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