Periodic stabilizability of switched linear control systems

doi:10.1016/j.automatica.2009.05.016

CORC > 北京大学 > 工学院

	Periodic stabilizability of switched linear control systems
	Xie, Guangming ; Wang, Long
刊名	automatica
	2009
关键词	Switched linear control systems (SLCSs) Periodic stabilizability Reachability Observability Periodic detectability Observer MULTIPLE LYAPUNOV FUNCTIONS DISCRETE-TIME-SYSTEMS HYBRID SYSTEMS REACHABILITY REALIZATION SUFFICIENT CONDITIONS CONTROLLABILITY STABILIZATION STABILITY OBSERVABILITY CRITERIA
DOI	10.1016/j.automatica.2009.05.016
英文摘要	Stabilizability via direct/observer-based state feedback control for discrete-time switched linear control systems (SLCSs) is investigated in this paper. For an SLCS, the control factors are not only the control input but also the switching signal, and they need to be designed in order to stabilize the system. As a result, stabilization design for SLCSs is more complicated than that for non-switched ones. Differently from the existing approaches, a periodic switching signal and piecewise constant linear state feedback control are adopted to achieve periodic stabilizability for such systems. It is highlighted that multiple feedback controllers need to be designed for one subsystem. For discrete-time SLCSs, it is proved that reachability implies periodic stabilizability via state feedback. A necessary and sufficient criterion for periodic stabilizability is also established. Two stabilization design algorithms are presented for real application. Moreover, it is proved that reachability and observability imply periodic stabilizability via observer-based feedback for discrete-time SLCSs. Periodic detectability, as the dual concept of periodic stabilizability, is discussed and the stabilization design algorithms via observer-based feedback are presented as well. (C) 2009 Elsevier Ltd. All rights reserved; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000269681800023&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Automation & Control Systems; Engineering, Electrical & Electronic; SCI(E); 28; ARTICLE; 9; 2141-2148; 45
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154970]
专题	工学院
推荐引用方式 GB/T 7714	Xie, Guangming,Wang, Long. Periodic stabilizability of switched linear control systems[J]. automatica,2009.
APA	Xie, Guangming,&Wang, Long.(2009).Periodic stabilizability of switched linear control systems.automatica.
MLA	Xie, Guangming,et al."Periodic stabilizability of switched linear control systems".automatica (2009).