Adaptive Output Feedback Fuzzy Event-Triggered Control for Fractional-Order Nonlinear Switched Systems

Abstract

This study examined the control problem triggered by an adaptive fuzzy event for uncertain fractional-order switched systems. First, an observer was designed to estimate unknown system states, and fuzzy logic systems were introduced to approximate unknown nonlinear functions. Further, the dynamic surface technique is employed to solve complex differential problems of fractional-order switched systems. This paper proposes a threshold-based event-triggered control scheme that avoids Zeno behavior to decrease the waste of communication resources. An event-triggered mechanism updates the control signal only when necessary to ensure system performance. The proposed control strategy enables all signals of a closed-loop system to be uniformly bounded and the tracking error of output has good convergence performance near the origin under an arbitrary switching mechanism. Finally, a numerical example is presented that demonstrates the effectiveness of the designed scheme.