Passivity and passification of switched systems with the persistent dwell time switching. (November 2019)

• Record Type: Journal Article
• Authors: Zhao, Xiao-Qi; Ye, Dan; Zhong, Guang-Xin
• Is Part Of: Nonlinear analysis. Volume 34(2019)
• Page Start: 18
• Page End: 29
• Publication Date: 2019-11
• Subjects: Switched systems -- Passivity analysis -- Storage function -- Persistent dwell time -- Feedback passification; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2019.05.004
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: 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.