A novel event-based fuzzy control approach for continuous-time fuzzy systems

Abstract

Abstract This paper investigates the event-based fuzzy control problem for continuous-time interval type-2 (IT2) fuzzy networked control systems (NCSs). A new Lyapunov–Krasovskii functional is introduced in the stability analysis, where the integrands of the Lyapunov–Krasovskii functional are dependent of membership functions. Applying the information of time-derivatives of membership functions, a novel switching event-based fuzzy controller is designed to ensure that the closed-loop IT2 fuzzy system with mismatched membership functions is asymptotically stable. Different from the existing event-based fuzzy control results, both of the information of membership functions and the time-derivatives of membership functions can be utilized in the stability analysis to reduce the conservativeness. Finally, a simulation example is given to show the effectiveness and advantages of the design and analysis.