Stabilization of switched linear systems via admissible edge-dependent switching signals. (August 2018)

• Record Type: Journal Article
• Authors: Yang, Junqi; Zhao, Xudong; Bu, Xuhui; Qian, Wei
• Is Part Of: Nonlinear analysis. Volume 29(2018)
• Page Start: 100
• Page End: 109
• Publication Date: 2018-08
• Subjects: Switched system -- Admissible edge-dependent average dwell time -- Stability -- Directed graph; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.01.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper proposes and studies the concept of admissible edge-dependent average dwell time (AED-ADT) which characterizes a kind of new switching signals for switched systems. The switching behavior of the proposed switching signal is denoted by a directed graph, where each admissible transition edge (ATE) signifies a switching from one subsystem to another. New stability criteria for switched systems with AED-ADT switching are then derived. The choices of transition weights of ATEs make the proposed AED-ADT switching more general than mode-dependent average dwell time (MDADT) switching. Stabilization conditions for switched linear systems are also established by designing state-feedback switching controller whose gain matrices can be obtained by solving linear matrix inequalities. The effectiveness of the proposed approaches is demonstrated by a numerical example.