Performance lower bounds in stochastic robust and adaptive control

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	Performance lower bounds in stochastic robust and adaptive control
	Zhang, JF; Wang, LY
	2001-07-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	46 期号:7 页码:1137-1141
摘要	The fundamental issues of capability of robust and adaptive control in dealing with uncertainty are investigated in stochastic systems. It is revealed that to capture the intrinsic limitations of adaptive control, it is necessary to use sup, types of transient and persistent performance, rather than lim sup(t) types which reflect only asymptotic behavior of a system. For clarity and technical tractability, a simple first-order linear time-varying system is employed as a vehicle to explore performance lower bounds of robust and adaptive control. Optimal performances of nominal, robust and adaptive control are explicitly derived and their implications are discussed in an information framework. An adaptive strategy is scrutinized for its achievable performance bounds. The results indicate that intimate interaction and inherent conflict between identification and control result in a certain performance lower bound which does not approach the nominal performance even when the system varies very slowly. Explicit lower bounds are obtained when disturbances are either normally or uniformly distributed.
关键词	adaptive control performance lower bounds robust control Stochastic system time-varying parameter 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:000169945500018
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/16545
专题	系统科学研究所
通讯作者	Zhang, JF
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Wayne State Univ, Dept Elect & Comp Engn, Detroit, MI 48202 USA
推荐引用方式 GB/T 7714	Zhang, JF,Wang, LY. Performance lower bounds in stochastic robust and adaptive control[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2001,46(7):1137-1141.
APA	Zhang, JF,&Wang, LY.(2001).Performance lower bounds in stochastic robust and adaptive control.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,46(7),1137-1141.
MLA	Zhang, JF,et al."Performance lower bounds in stochastic robust and adaptive control".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 46.7(2001):1137-1141.