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Stabilizing design for discrete-time reversible switched linear control systems: A deadbeat control approach
Zhu, Yan1; Sun, Zhendong2
2021-07-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume129Pages:6
AbstractIn 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.
KeywordSwitched linear systems Feedback stabilization Deadbeat control Controllability
DOI10.1016/j.automatica.2021.109617
Indexed BySCI
Language英语
Funding ProjectNational Key R&D Program of China[2018YFA0703800] ; National Natural Science Foundation of China[61733018] ; Natural Science Foundation of Shandong Province, China[ZR2020ZD26]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000655690000011
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58807
Collection中国科学院数学与系统科学研究院
Corresponding AuthorSun, Zhendong
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
2.Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China
Recommended Citation
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.
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