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Finite-time Event-triggered Extended Dissipative Control for a Class of Switched Linear Systems

Hui Gao*, Kaibo Shi, Hongbin Zhang, and Jianwei Xia
International Journal of Control, Automation, and Systems, vol. 19, no. 8, pp.2687-2696, 2021

Abstract : This paper investigates the problem of event-triggered finite-time extended dissipative control for a class of switched linear systems. We propose a novel event-triggered method that allows frequent system switching over an event-triggered interval, which is different from the previous work that only one switching happened over the event-triggered interval. By average dwell time and a novel controller-mode-dependent Lyapunov function method, we give sufficient conditions for finite-time extended dissipative analysis of the closed-loop switched linear system. LMIs are used for the design of the controller. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

Keyword : Event-trigger, extended dissipative control, finite-time, frequent asynchronism.

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