Synchronous Membership Function Dependent Event-Triggered $\boldsymbol{H}_{\infty}$ Control of T-S Fuzzy Systems Under Network Communications

Dear Editor, This letter deals with the controller synthesis problem of networked Takagi-Sugeno (T-S) fuzzy systems. Due to the introduction of network communications, the same premise is no longer shared by fuzzy plants and fuzzy controllers. This makes the classic parallel distribution compensation (PDC) control infeasible. To overcome this situation, a novel method for reconstructing the membership functions' grades is proposed, which synchronizes the time scales. Then, the membership function dependent method is adopted to introduce asynchronous errors and detailed membership function information. For the event-triggered control strategy, a series of robust $H_{\infty}$ stable conditions in LMI form are derived. Finally, a simulation of a practical system is used to demonstrate the method proposed in this letter can reduce conservatism.