State and dynamic output feedback control of switched linear systems via a mixed time and state-dependent switching law. (November 2016)

• Record Type: Journal Article
• Authors: Zhai, Ding; Lu, An-Yang; Li, Jing-Hao; Zhang, Qing-Ling
• Is Part Of: Nonlinear analysis. Volume 22(2016)
• Page Start: 228
• Page End: 248
• Publication Date: 2016-11
• Subjects: Switched systems -- Robust control -- Average dwell time -- Lyapunov–Metzler inequality -- Discretized Lyapunov function; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2016.04.007
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the problem of robust control for switched linear systems with dwell-time constraint. First, a mixed time-dependent and state-dependent switching law is proposed. The stability analysis and weighted L 2 gain analysis are proposed based on the Lyapunov–Metzler inequality method and average dwell-time technique. Then by using discretized Lyapunov function technique, the state feedback controllers and dynamic output feedback controllers are designed to stabilize the switched linear systems and satisfy a weighted L 2 gain performance under the proposed dwell-time switching law. The method proposed in this paper can reduce the numbers of the switches. Finally the effectiveness of proposed method is illustrated through three simulation examples.