Stability and performance analysis of switched linear systems subject to time delays and actuator saturation

doi:10.1080/00207721.2018.1511871

	Stability and performance analysis of switched linear systems subject to time delays and actuator saturation
	Feng, Yiwei; Cai, Yudan
刊名	International Journal of Systems Science
	2018-09-10
卷号	49 期号:12 页码:2725-2736
关键词	Actuators Convergence of numerical methods Differential equations Linear matrix inequalities Linear systems Lyapunov functions Saturation (materials composition) Time delay Actuator saturations Attraction domain Differential inclusions Original systems Output feedback controls Performance analysis Reachable set Switched linear system
ISSN号	00207721
DOI	10.1080/00207721.2018.1511871
英文摘要	This paper is devoted to the stability and the performance for the switched linear systems with time delays and actuator saturation. Problems to be considered include the reachable set under a class of bounded energy disturbances and time delays. This treatment yields two forms of differential inclusions, a polytopic differential inclusion (PDI) and a norm-bounded differential inclusion (NDI) that contain the original system. Using the PDI and the NDI describing actuator saturation systems, sufficient conditions for the output feedback control laws are derived to stabilise the systems. The estimation of the attraction domain is to ensure that the state remains inside the level set of a certain Lyapunov function where the PDI and NDI are valid. The sufficient conditions for stability and performances are derived as linear matrix inequalities. A example based on jitterbug tools is used to illustrate the effectiveness of the proposed approach. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
WOS研究方向	Automation & Control Systems ; Computer Science ; Operations Research & Management Science
语种	英语
出版者	Taylor and Francis Ltd.
WOS记录号	WOS:000445873000017
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150542]
专题	教务处（创新创业学院）
作者单位	College of Electrical and Information Engineering, LanZhou University of Technology, Lanzhou, China
推荐引用方式 GB/T 7714	Feng, Yiwei,Cai, Yudan. Stability and performance analysis of switched linear systems subject to time delays and actuator saturation[J]. International Journal of Systems Science,2018,49(12):2725-2736.
APA	Feng, Yiwei,&Cai, Yudan.(2018).Stability and performance analysis of switched linear systems subject to time delays and actuator saturation.International Journal of Systems Science,49(12),2725-2736.
MLA	Feng, Yiwei,et al."Stability and performance analysis of switched linear systems subject to time delays and actuator saturation".International Journal of Systems Science 49.12(2018):2725-2736.