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Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems
文献类型：期刊论文
| 作者 | Liu, Shu-Jun; Zhang, Ji-Feng ; Jiang, Zhong-Ping
|
| 刊名 | AUTOMATICA
 |
| 出版日期 | 2007-02-01 |
| 卷号 | 43期号:2页码:238-251 |
| 关键词 | decentralized control stochastic nonlinear systems stochastic input-to-state stable inverse dynamics output feedback adaptive control |
| ISSN号 | 0005-1098 |
| DOI | 10.1016/j.automatica.2006.08.028 |
| 英文摘要 | In this paper, the problem of decentralized adaptive output-feedback stabilization is investigated for large-scale stochastic nonlinear systems with three types of uncertainties, including parametric uncertainties, nonlinear uncertain interactions and stochastic inverse dynamics. Under the assumption that the inverse dynamics of the subsystems are stochastic input-to-state stable, an adaptive output-feedback controller is constructively designed by the backstepping method. It is shown that under some general conditions, the closed-loop system trajectories are bounded in probability and the outputs can be regulated into a small neighborhood of the origin in probability. In addition, the equilibrium of interest is globally stable in probability and the outputs can be regulated to the origin almost surely when the drift and diffusion vector fields vanish at the origin. The contributions of the work are characterized by the following novel features: (1) even for centralized single-input single-output systems, this paper presents a first result in stochastic, nonlinear, adaptive, output-feedback asymptotic stabilization; (2) the methodology previously developed for deterministic large-scale systems is generalized to stochastic ones. At the same time, novel small-gain conditions for small signals are identified in the setting of stochastic systems design; (3) both drift and diffusion vector fields are allowed to be dependent not only on the measurable outputs but some unmeasurable states; (4) parameter update laws are used to counteract the parametric uncertainty existing in both drift and diffusion vector fields, which may appear nonlinearly; (5) the concept of stochastic input-to-state stability and the method of changing supply functions are adapted, for the first time, to deal with stochastic and nonlinear inverse dynamics in the context of decentralized control. (C) 2006 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000243670600004 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4471]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhang, Ji-Feng |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China 2.SE Univ, Dept Math, Nanjing 210096, Peoples R China 3.Polytech Univ, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA |
| 推荐引用方式 GB/T 7714 | Liu, Shu-Jun,Zhang, Ji-Feng,Jiang, Zhong-Ping. Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems[J]. AUTOMATICA,2007,43(2):238-251. |
| APA | Liu, Shu-Jun,Zhang, Ji-Feng,&Jiang, Zhong-Ping.(2007).Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems.AUTOMATICA,43(2),238-251. |
| MLA | Liu, Shu-Jun,et al."Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems".AUTOMATICA 43.2(2007):238-251. |
入库方式： OAI收割
来源：数学与系统科学研究院
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