Event-Triggered Nonfragile Control of Time-Varying Delays Markov Jump Systems

The focus of this paper is to address the issue of event-triggered nonfragile guaranteed cost control in time-varying delays Markov jump systems (MJSs). The co-design scheme is proposed to develop a unified framework for designing the event-triggered strategy (ETS) and nonfragile mode-dependent fuzzy controller in time-varying delays MJSs, ensuring asymptotic mean square stability of the closed-loop system and meeting a specified cost level. The utilization of the ETS in these methods effectively reduces the upper bound of the prescribed cost level, as compared to methods that do not employ this strategy. Some sufficient conditions expressed by linear matrix inequality (LMI) have been developed. By employing certain inequality techniques to solve a set of LMI, the controller gain and upper bound of the prescribed cost level can be obtained. The proposed theoretical results are demonstrated to be both feasible and effective through two illustrative examples.