Stability analysis of cyclic switched nonlinear systems via event-triggered method. (May 2023)

• Record Type: Journal Article
• Authors: Ai, Zidong; Qu, Shangchang
• Is Part Of: Nonlinear analysis. Volume 48(2023)
• Publication Date: 2023-05
• Subjects: Event-triggered control -- Switched system -- Exponential stability -- Unstable mode; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2022.101310
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, the exponential stability problem is addressed for a class of cyclic switched nonlinear systems with unstable modes. A novel event-triggered cyclic switching scheme (ETCSS) is proposed to generate a cyclic switching signal that exponentially stabilizes the considered system for any given initial configuration. Some easily verifiable stability criteria for switched nonlinear and linear systems are established, and the effects of event parameters on the convergence rate are also analyzed. Different from the existing studies, here the developed switching scheme is not only cyclic but also event-triggered and thereby the switching frequency is relatively low. Finally, a numerical example is given to verify the efficiency of the method.