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Event-triggered Stabilization of Linear Time-delay Systems by Static Output Feedback Control

Xiaoli Wang, Peng Xiang, Wenfeng Hu*, and Tingwen Huang
International Journal of Control, Automation, and Systems, vol. 18, no. 11, pp.2857-2866, 2020

Abstract : In this paper, we study the stabilization problem for a class of linear systems with a time-varying state delay. An event-triggered static output feedback controller is proposed, such that the sampling frequency and the update time of the controller are both lowered. First, we present a novel event-triggering mechanism depending not only on the output but also on an exponential term, with which less sampling is required and Zeno behavior can be excluded at the same time. Some sufficient conditions are then obtained, under which an exponential convergence can be achieved by means of the comparison principle approach. It is further shown that the parameters design can be easily given if the case reduces to the state feedback control. Moreover, two examples are presented to show the effectiveness of the results.

Keyword : Event-triggered control, stabilization problem, static output feedback, time-varying delay.

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