Event-triggered fuzzy H∞ control for a class of nonlinear networked control systems using the deviation bounds of asynchronous normalized membership functions

This paper is concerned with the event-triggered H∞ control for a nonlinear networked control system. A new event-triggered transmission scheme is first proposed to reduce the network bandwidth utilization. Under this scheme, the nonlinear networked control system is formulated as a Takagi–Sugeno fuzzy threshold-error-dependent system with asynchronous normalized membership functions. Then, by using the deviation bounds of asynchronous normalized membership functions, some sufficient conditions on the existence of the parameters of the event-triggered transmission scheme and the fuzzy controller are derived such that the Takagi–Sugeno fuzzy threshold-error-dependent system with asynchronous normalized membership functions is asymptotically stable with a prescribed H∞ attenuation level. It is shown that the proposed design method can reduce the conservativeness of some existing results. Finally, two examples are given to demonstrate the effectiveness of the proposed design method and the event-triggered transmission scheme.