Event-triggered Guaranteed Cost Control for Uncertain Networked Discrete Markov Jump Systems

The problem of event-triggered guaranteed cost control for uncertain networked discrete Markov jump systems is presented in this study. First, the parameter uncertainty is assumed to be norm-bounded. Different from the traditional time-triggered scheme, a discrete event-triggered scheme is used to determine whether the sampled data should be transmitted or not. Second, the time interval analysis approach is used to transform the system, i.e., the event-triggered scheme and network-induced delays, into a time-delay system. On the basis of the time-delay system analysis method, an algorithm is derived to codesign the event-triggered conditions and guaranteed cost controller. Finally, an illustrative example is given to show that the proposed analysis and design techniques are effective.