Stabilizing design for discrete-time reversible switched linear control systems: A deadbeat control approach

doi:10.1016/j.automatica.2021.109617

	Stabilizing design for discrete-time reversible switched linear control systems: A deadbeat control approach
	Zhu, Yan 2; Sun, Zhendong 1
刊名	AUTOMATICA
	2021-07-01
卷号	129 页码:6
关键词	Switched linear systems Feedback stabilization Deadbeat control Controllability
ISSN号	0005-1098
DOI	10.1016/j.automatica.2021.109617
英文摘要	In this work, we address the feedback stabilization problem for discrete-time reversible switched linear control systems. We focus on the question "how many state feedback gain matrices are needed for an nth order system with m subsystems?'' We prove that n + m is an upper bound for the question. For completely controllable systems, a constructive design scheme is developed to steer any initial state to the origin within n(n+1)/2 steps. When the controllability is incomplete, we prove that the system is stabilizable iff the uncontrollable sub-mode is stabilizable, and propose a mixed time-driven and statedriven switching law to stabilize both the controllable sub-mode and the uncontrollable sub-mode simultaneously. (C) 2021 Elsevier Ltd. All rights reserved.
资助项目	National Key R&D Program of China[2018YFA0703800] ; National Natural Science Foundation of China[61733018] ; Natural Science Foundation of Shandong Province, China[ZR2020ZD26]
WOS研究方向	Automation & Control Systems ; Engineering
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000655690000011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58806]
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Zhendong
作者单位	1.Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Yan,Sun, Zhendong. Stabilizing design for discrete-time reversible switched linear control systems: A deadbeat control approach[J]. AUTOMATICA,2021,129:6.
APA	Zhu, Yan,&Sun, Zhendong.(2021).Stabilizing design for discrete-time reversible switched linear control systems: A deadbeat control approach.AUTOMATICA,129,6.
MLA	Zhu, Yan,et al."Stabilizing design for discrete-time reversible switched linear control systems: A deadbeat control approach".AUTOMATICA 129(2021):6.