Finite-time H∞ control for discrete-time switched systems with admissible edge-dependent average dwell time. Issue 3 (17th February 2021)

• Record Type: Journal Article
• Authors: Wang, Hailong; Tong, Yanhui; Xu, Dongmei; Song, Wanqing
• Is Part Of: International journal of systems science. Volume 52:Issue 3(2021)
• Page Start: 525
• Page End: 540
• Publication Date: 2021-02-17
• Subjects: Admissible edge-dependent average dwell time -- finite-time H∞ control -- multiple discontinuous Lyapunov function approach -- discrete-time switched systems; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2020.1832284
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper is concerned with finite-time H ∞ control for discrete-time switched linear systems via admissible edge-dependent switching. The admissible edge-dependent average dwell-time (AED–ADT) is employed to identify a class of constrained switching signals for the resulting closed-loop system. Moreover, multiple discontinuous Lyapunov function (MDLF) approach, which is less conservative than the traditional multiple Lyapunov function (MLF) method, is used to analyse the closed-loop stability and H ∞ performance by incorporating the idea of AED–ADT. By constructing the MDLFs in quadratic forms, a synthesis condition for finite-time bounded control is first proposed, then a synthesis condition for finite-time H ∞ control is further developed based on the obtained result. Finally, two simulation examples are given to verify the effectiveness and practicability of the presented control synthesis method.