Dissipativity-Based Fuzzy Control of Nonlinear Systems via an Event-Triggered Mechanism

Abstract

This paper investigates the dissipativity-based fuzzy control problem for nonlinear dynamic systems based on the event-triggered mechanism. For the sake of reducing the number of transmissions while maintaining the closed-loop stability of the system, the event-triggered mechanism is considered. Moreover, the dissipativity is also taken into account in designing a controller that ensures the resulting closed-loop system is asymptotically stable and strictly (X, Y, Z)-θ-dissipative. In view of the fuzzy model, the stability of the resulting system is analyzed in terms of Lyapunov stability theory. According to the stability conditions, a fuzzy controller is designed. Additionally, the explicit expression of the desired controller is given in view of linear matrix inequalities. Finally, the corresponding simulation results are plotted by applying the standard software, and a practical example on a truck-trailer model is provided to verify and illustrate the effectiveness and applicability of the proposed fuzzy controller design scheme.