Design of Event-Triggered H_∞ Fuzzy Integral Controller for Nonlinear Singularly Perturbed Systems With Parametric...

In this article, we proposed a fuzzy controller for nonlinear two-time-scale systems with uncertain system parameters. The designed controller is implemented using integral control and event-triggered strategy to deal with the singularly perturbed system (SPS), which typically operates on both the fast and slow dynamics simultaneously because of the small value parameter, namely, the parasitic parameter $\varepsilon $ . Two main challenges of this work are the instability of SPS-caused by the presence of parasitic parameter, the parameter uncertainties and external disturbances-and the data transmission load between the system and the controller. To tackling with these problems, the proposed controller is designed based on the Takagi-Sugeno fuzzy model in cooperation with the integral feedback and event-triggering action, and its control performances are analyzed using linear matrix inequality (LMI) approach. Through the demonstrations, our proposed method ensures the asymptotic stability, enhances robustness against disturbances and parametric uncertainties, and also effectively reduces communication costs.