Stability and stabilization for discrete-time switched systems with asynchronism

Shuang Shi, Zhongyang Fei, Zhenpeng Shi and Shunqing Ren

Applied Mathematics and Computation, 2018, vol. 338, issue C, 520-536

Abstract: In this paper, the H∞ control is investigated for a class of discrete-time switched systems. The switching delay between the mode and controller, which leads to the asynchronism, is taken into consideration. The switching signal is considered to be constrained by persistent dwell time (PDT), which is known to be more general than the common used dwell time or average dwell time. Sufficient conditions to guarantee the asymptotic stability and ℓ2-gain are derived under a PDT scheme. By considering that actual controllers are subjected to norm-bounded gain perturbations, non-fragile controllers are designed based on both state feedback and output feedback stategies. Finally, the effectiveness of the provided methods is illustrated by two examples.

Keywords: Discrete-time switched system; H∞ control; Asynchronous switching; Persistent dwell time (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:520-536

DOI: 10.1016/j.amc.2018.06.049

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