Disturbance-term-based switching event-triggered synchronization control of chaotic Lurie systems subject to a joint performance guarantee

Abstract

This work is dedicated to the exponential synchronization of chaotic Lurie systems subject to a joint performance guarantee via a disturbance-term-based switching event-triggered control. For the sake of network resources saving, a novel event-triggering scheme is devised for chaotic Lurie systems. Therein, the disturbance term is additionally integrated into the threshold function of the scheme, which is capable of enlarging the time interval between two successively triggering instants and then lessening the triggering times compared with certain previous schemes. By adopting a time-dependent continuous Lyapunov functional, a sufficient condition is proposed via linear matrix inequalities to ensure that the Lurie synchronization-error system is exponentially stable and has a joint L2−L∞ and H∞ performance guarantee. Based on the condition, a co-design algorithm of the desired control gain and the event-trigger matrix is developed by means of a matrix decoupling method. In the end, a numerical simulation is employed to exemplify the validity of the designed controller and the superiority of the devised disturbance-term-based switching event-triggering scheme.