Impulsive stabilization of nonlinear singular switched systems with all unstable-mode subsystems

This paper studies the impulsive stabilization of a class of nonlinear singular switched systems (SWSs). With the aid of discretized Lyapunov method, a reduced-order impulsive controller is designed, which just works on the slow state variables to stabilize SWSs at impulsive instant. Based on the de...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 344-345; pp. 57 - 67
Main Authors Zhan, Tao, Ma, Shuping, Chen, Hao
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.03.2019
Subjects
Reduced-order impulsive controller
Singular switched system
Unstable subsystem
Unstable subsystem
Singular switched system
Reduced-order impulsive controller
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Summary:This paper studies the impulsive stabilization of a class of nonlinear singular switched systems (SWSs). With the aid of discretized Lyapunov method, a reduced-order impulsive controller is designed, which just works on the slow state variables to stabilize SWSs at impulsive instant. Based on the designed controller, it is shown that the stabilization of SWSs is achieved in two cases: all unstable subsystems with stabilizing impulses and all stable subsystems even with destabilizing impulses. Finally, an example is presented to demonstrate the effectiveness of the proposed controller.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2018.10.009