Switched Sliding Mode Control for Networked T-S Fuzzy Delayed Systems: A Membership Function-Dependent Event-Triggered Mechanism

This paper investigates the switched sliding mode control (SMC) problem for networked T-S fuzzy delayed systems with limited communication capability, where the event-triggered mechanism is adopted to schedule the information transmission. Using the fuzzy model and controller membership function information, a membership function-dependent dynamic event-triggered mechanism (DETM) is constructed with hope to enhance effective data utilization. Furthermore, a novel switched fuzzy sliding mode controller is designed. Then, by combining with the membership function analysis method, sufficient conditions are provided to guarantee that the closed-loop fuzzy system is asymptotically stable with a prescribed <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H_{\infty}$</tex> performance and the sliding surface is reachable. Finally, a simulation example is employed to demonstrate the rationality of proposed switched SMC strategy.