Sliding Mode Control for Fuzzy Singularly Perturbed Systems With Improved Protocol

This brief endeavors to exploit the sliding mode control problem for fuzzy singular perturbed systems in the presence of dynamic quantization and dynamic event-triggered protocol. With respect to the characteristics of the dynamic quantizer, a novel dynamic event-triggering protocol associated with the singular perturbation and the dynamic quantization parameters is proposed to further decrease the communication load. A co-design scheme is addressed for determining the triggering and the quantization parameters. Additionally, a fuzzy sliding mode controller is designed with respect to the singular perturbation parameter, and the mode-based controller is designed for ensuring the finite-time boundedness of the closed-loop systems and the reachability of the specified sliding surface. Eventually, two simulation results are conducted to verify the rationality of the attained scheme.