Fixed-time Adaptive Event-triggered Control for a Class of Uncertain Nonlinear Systems with Input Hysteresis

The problem of fixed-time adaptive event-triggered control for uncertain nonlinear systems with input hysteresis is investigated. An adaptive dynamic threshold event-triggered control scheme is proposed to schedule the update of control signals and realize the online compensation of input hysteresis. Furthermore, a fixed-time adaptive event-triggered controller is proposed based on the fixed-time stability theorem. The controller can ensure that the tracking error converges into a small and adjustable set in a fixed time, and the convergence time is independent of the initial system states. Meanwhile, all the closed-loop signals are bounded, and the Zeno behavior is excluded. Finally, the feasibility of the method is verified by some simulation examples.

Automated summary

This paper investigates the problem of fixed-time adaptive event-triggered control for uncertain nonlinear systems with input hysteresis. An adaptive dynamic threshold event-triggered control scheme is proposed to schedule the update of control signals and realize the online compensation of input hysteresis. Furthermore, a fixed-time adaptive event-triggered controller is introduced based on the fixed-time stability theorem. The controller ensures convergence of the tracking error into a small and adjustable set in a fixed time, independent of the initial system states, with bounded closed-loop signals and no Zeno behavior. The feasibility of the method is verified through simulation examples.