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

The 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.

Automated summary

This paper discusses a fixed-time fuzzy adaptive event-triggered control method for nonlinear systems with output constraint and unknown virtual control coefficients. Fuzzy logic systems are used to approximate uncertain nonlinearities, and a barrier Lyapunov function is employed to analyze stability and avoid violating the given output constraint. The combination of the designed adaptive laws and fixed-time control signal reduces restrictions on unknown virtual control coefficients and increases control robustness. An event-triggered mechanism is proposed to update controllers and save communication resources. The control strategy ensures that the tracking error can converge to a small neighborhood of the origin in a fixed time.