Event-triggered extended dissipativity stabilization of semi-Markov switching systems

Abstract

This paper is concerned with event-triggered extended dissipativity stabilization of uncertain semi-Markov switching systems with external disturbances. The purpose is to ensure the stochastic stability and extended dissipativity of the semi-Markov switching systems via using event-triggered control. A mode- and disturbance-dependent switched event-triggered mechanism is devised to determine the triggered moments, which can further reduce the number of triggered events compared to some existing switched event-triggered mechanisms. On the basis of the proposed mechanism, a time- and mode-dependent piecewise-defined Lyapunov functional is constructed to establish a criterion for the stochastic stability and extended dissipativity. Subsequently, a co-design scheme for the needed feedback-gain and event-triggered matrices is presented using some equivalent transformations of matrix inequalities. Lastly, a DC motor model and a robotic arm model are utilized to illustrate the validity of the designed controller.