Cost-guaranteed exponential stabilization of Lurie systems via switched event-triggered control

Abstract

<p style='text-indent:20px;'>This paper studies event-triggered cost-guaranteed stabilization for Lurie systems. For the aim of saving limited communication network resources, a switched event-triggered control mechanism combining periodic sampling and continuous event triggering is adopted in the feedback channel. To explore the stability of the switched closed-loop system, a piecewise functional is constructed to make efficient use of the information involved in the sampling intervals and the nonlinear functions. With the assistance of the constructed functional, various integral inequalities, and the free-weight matrix technique, a criterion on the exponential stability and cost-related performance is established. On the basis of the given criterion, a joint-design method of the needed feedback gain and triggering matrix is derived through eliminating the nonlinear coupling terms therein. Then, an optimization scheme is given for acquiring the minimum cost value while maintaining exponential stability. Lastly, a numerical simulation example is employed to show the applicability of the optimized joint-design method.</p>