Knowledge Commons of Institute of Automation,CAS
Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances | |
Song, Ruizhuo1; Wei, Qinglai2 | |
发表期刊 | CHINESE PHYSICS B |
2017-03-01 | |
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 |
DOI | 10.1088/1674-1056/26/3/030505 |
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 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/14411 |
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 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). |
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