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Event-Triggered Sliding Mode Control of Fuzzy Dynamic Systems

This paper deals with the issue of dynamic event-triggered control for Takagi-Sugeno fuzzy nonlinear systems via a sliding-mode control scheme. Firstly, a typical sliding mode system is set up by applying a relevant sliding mode function and a useful event-based method. Then, by employing the different Lyapunov function and reciprocally convex approach, some sufficient conditions are obtained to ensure the resulting sliding mode dynamic system is asymptotically stable. It can be observed the trajectory of the dynamic control system is converged into a bounded domain of the introduced sliding surface in limited time. Additionally, a complete expression of the designed sliding mode controller is presented with linear matrix inequalities and the availability of the design scheme is verified by a simulation.