Chaotic system optimal tracking using data-based synchronous method with unknown dynamics and disturbances
文献类型：期刊论文
| 作者 | Song, Ruizhuo1; Wei, Qinglai2
|
| 刊名 | CHINESE PHYSICS B
 |
| 出版日期 | 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) |
| 源URL | [http://ir.ia.ac.cn/handle/173211/14411]  |
| 专题 | 自动化研究所_复杂系统管理与控制国家重点实验室_智能化团队 |
| 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). |
入库方式： OAI收割
来源：自动化研究所
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