Stability analysis for discrete-time switched systems with unstable subsystems by a mode-dependent average dwell time approach

• Published in: ISA transactions Vol. 53; no. 4; pp. 1081 - 1086
• Main Authors: Zhang, Hongbin, Xie, Dehua, Zhang, Hongyu, Wang, Gang
• Format: Journal Article
• Language: English
• Published: United States Elsevier Ltd 01.07.2014
• Subjects: Mode-dependent average dwell time; Stability; Switched systems; Unstable subsystems; Switched systems; Unstable subsystems; Stability; Mode-dependent average dwell time
• ISSN: 0019-0578; 1879-2022
• DOI: 10.1016/j.isatra.2014.05.020

This paper mainly intends to present new stability results of a discrete-time switched system with unstable subsystems. By adopting multiple Lyapunov functions׳ (MLFs׳) method, new and less conservative stability conditions are derived in terms of a set of numerical feasible linear matrix inequalities (LMIs) with mode-dependent average dwell time (MDADT) techniques. Different from previous literatures, unstable subsystems are considered under two situations in this paper. It is shown that the discrete-time switched system can achieve exponential stability under a slow switching scheme and even in the presence of fast switching of unstable subsystems. Finally a numerical example is given to demonstrate the effectiveness of the proposed method. •Study the discrete-time switched systems with unstable subsystems.•Put forward two switching schemes that are slow switching and fast switching schemes.•Adopt mode-dependent average dwell time technique and obtain less conservative results.