Dynamic event-triggered H∞ control for T-S fuzzy switched complex-valued networks under average dwell-time constraint: A non-separation approach

This article investigates the H∞ control issue of Takagi–Sugeno fuzzy switched complex-valued networks (CVNs) with time-varying delay and average dwell-time (ADT) mechanism. To significantly decrease the communication load on the network and save the scarce communication resources, an available aperiodic event-triggered control scheme with dynamic threshold is put forward, where the triggering threshold can be dynamically updated through a differential renewal rule. Besides, this scheme can significantly avoid Zeno behavior. Meanwhile, it can also prevent the case where there is no signal transmission for a long time. On this basis, a novel fuzzy controller is designed. Moreover, a more complicated Lyapunov function is established to involve available information about ADT switching signal, time-varying delay, triggering interval and dynamic triggering threshold. In addition, by feat of Lyapunov stability theory, some complex matrix inequality methods and ADT technique, some sufficient and less conservative results are addressed to insure the involved CVN realizes H∞ stability with an external disturbance performance index. In addition, the available controller gains can be established as by calculating obtained complex matrix inequalities. Ultimately, one numerical example accompanied by simulations is put forward to verify the correctness and feasibility of the designed fuzzy controller.