How much uncertainty can be dealt with by feedback?

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	How much uncertainty can be dealt with by feedback?
	Xie, LL; Guo, L
	2000-12-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	45 期号:12 页码:2203-2217
摘要	Feedback is used primarily for reducing the effects of the plant uncertainty on the performance of control systems, and as such understanding the following questions is of fundamental importance: How much uncertainty can be dealt with by feedback? What are the limitations of feedback? How does the feedback performance depend quantitatively on the system uncertainty? How can the capability of feedback be enhanced if a priori information about the system structure is available? As a starting point toward answering these questions, a typical class of first-order discrete-time dynamical control systems with both unknown nonlinear structure and unknown disturbances is selected for our investigation, and some concrete answers are obtained in this paper. In particular, we find that in the space of unknown nonlinear functions, the generalized Lipschitz norm is a suitable measure for characterizing the size of the structure uncertainty, and that the maximum uncertainty that can be dealt with by the feedback mechanism is described by a ball with radius 3/2 + root2 in this normed function space.
关键词	adaptive control feedback nonlinear robust control stability stochastic systems uncertainty
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000166570300001
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15776
专题	中国科学院数学与系统科学研究院
通讯作者	Xie, LL
作者单位	Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xie, LL,Guo, L. How much uncertainty can be dealt with by feedback?[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2000,45(12):2203-2217.
APA	Xie, LL,&Guo, L.(2000).How much uncertainty can be dealt with by feedback?.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,45(12),2203-2217.
MLA	Xie, LL,et al."How much uncertainty can be dealt with by feedback?".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 45.12(2000):2203-2217.