Event-triggered guaranteed cost control for uncertain networked Markov jump systems

Abstract

The problem of event-triggered guaranteed cost control for uncertain networked Markov jump systems is presented in this paper. The parameter uncertainty is assumed to be norm-bounded. Different from the traditional time-triggered scheme based on fixed sampling period, a discrete event-triggered scheme is given to choose whether the sampled data should be transmitted or not. The event-triggered scheme, network-induced delays and Markov jump system are unified into the Markov jump time-delay system. Based on time-delay system method, an algorithm is derived to co-design the event-triggered conditions and the guaranteed cost controller. Finally, a numerical is given to show the effectiveness of our provided method.