Finite‐Time Fuzzy Adaptive Control for Nonlinear Systems With Asymmetric Dead‐Zone and Actuator Faults and via an Event‐Triggered Mechanism

ABSTRACT This study focuses on adaptive fuzzy finite‐time control for nonstrict‐feedback nonlinear systems afflicted with actuator faults and asymmetric dead‐zone, utilizing an event‐triggered approach. Fuzzy logic systems are used to approximate the system's unknown terms. A relative threshold event‐triggering mechanism is devised to reduce communication requirements. This mechanism ensures that the actuator only receives system input when a significant event occurs, thereby optimizing control efficiency. The proposed strategy integrates event‐triggered adaptive fuzzy control with the backstepping method to achieve finite‐time stability. This approach guarantees that the tracking error converges to a region near the origin, and ensures semiglobal practical finite‐time stability for all signals within the closed‐loop system. A numerical example and a real‐world example of a pendulum system are used to illustrate the efficacy of the control approach.