Passivity and passification of switched systems with the persistent dwell time switching

This paper addresses passivity and passification of discrete-time switched systems. New passivity conditions are established for switched systems with a designed switching strategy and output feedback controllers. The switching strategy refers to a more general persistent dwell time (PDT) switching...

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Bibliographic Details
Published inNonlinear analysis. Hybrid systems Vol. 34; pp. 18 - 29
Main Authors Zhao, Xiao-Qi, Ye, Dan, Zhong, Guang-Xin
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2019
Subjects
Feedback passification
Passivity analysis
Persistent dwell time
Storage function
Switched systems
Switched systems
Persistent dwell time
Storage function
Feedback passification
Passivity analysis
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Summary:This paper addresses passivity and passification of discrete-time switched systems. New passivity conditions are established for switched systems with a designed switching strategy and output feedback controllers. The switching strategy refers to a more general persistent dwell time (PDT) switching approach, which includes the advantages of dwell time and arbitrary switching. Further, by introducing a time-dependent storage function, a non-weighted passivity index is guaranteed, which replaces the common weighted one under the average dwell time switching. Next, on the basis of a time-varying parameter describing the process of dwell time and arbitrary switching, output feedback controllers with time-varying gain are determined. This guarantees the passivity of closed-loop systems. Thus, the problem of passification under the PDT switching is solved. Finally, a verification example is provided to show the feasibility of the theoretical results.
ISSN:1751-570X
DOI:10.1016/j.nahs.2019.05.004