Event-Based Reachable Set Synthesis for Continuous Delayed Fuzzy Singularly Perturbed Systems

In this brief, the problem of event-triggered reachable set (RS) control for Takagi-Sugeno fuzzy singular perturbed systems (FSPSs) with continuous time-varying delays is studied. Originally, Lyapunov stability theory and linear matrix inequalities are applied to limit the systems state by the RS ellipsoid. For the designed event-triggered state feedback controller, the free-weighting matrix method and the matrix decoupling technology are used to obtain the controller gains, and then the upper bound of the stability of the FSPSs is obtained. Finally, A circuit example is provided to demonstrate the efficacy of the findings.