Event-Triggered H Control for Fuzzy Two-Time-Scale Systems

This article focuses on the H-infinity control for nonlinear two-time-scale systems with event-triggered mechanisms. Utilizing the Takagi-Sugeno fuzzy model, it is feasible to represent nonlinear two-time-scale systems as fuzzy two-time-scale systems. Event-triggered state feedback control strategy is designed for achieving the H-infinity performance, which inevitably leads to the asynchronous phenomenon of the premise variables between continuous time and triggering instants. Under the consideration of the asynchronous phenomenon, based on a H-infinity-dependent Lyapunov function, the fuzzy composite state feedback controller gains and the event-triggered parameters are codesigned in the form of linear matrix inequalities, and the upper bound of H-infinity is provided as well. Furthermore, the proposed event-triggered mechanism ensures the exclusion of Zeno behavior. Finally, simulation results including comparison studies are shown to demonstrate the effectiveness of the proposed control strategy.