Adaptive fixed‐time fuzzy control for output constrained nonlinear systems with unknown virtual control coefficients based on event‐triggered mechanism

Abstract

SummaryThe paper discusses a fixed‐time fuzzy adaptive event‐triggered control for the nonlinear systems with output constraint and unknown virtual control coefficients. Fuzzy logic systems are utilized to approximate the uncertain nonlinearities. The barrier Lyapunov function is employed to analyze the stability and avoid violating the given output constraint. The combination of the designed adaptive laws and fixed‐time control signal is used to reduce restriction on unknown virtual control coefficients and increase the robustness for control. An event‐triggered mechanism is proposed to update controllers to save communication resources. The control strategy makes sure that the tracking error can converge into a small neighborhood of the origin in a fixed time. Finally, the efficacy of the proposed control approach is verified by two simulation examples.