Event-triggered adaptive fixed-time fuzzy control for uncertain nonlinear systems with unknown actuator faults

Abstract

This paper is concerned with the fixed-time problem for a class of nonlinear systems with actuator faults, unknown nonlinear functions as well as limited communication, where an event-triggered mechanism is considered to decrease the computing and communication burthen. A smooth function and an adaptive method are employed to solve the difficulty of the event-triggered mechanism and actuator faults that exist simultaneously in the control scheme design process. Based on the adding one power integrator technique and the backstepping method, an event-triggered adaptive fixed-time fuzzy fault-tolerant control strategy is designed, in which the unknown time-varying actuator faults are allowed. It is proved that the practical fixed-time stability of the resulting closed-loop systems can be ensured under the proposed event-triggered adaptive fixed-time fuzzy control strategy and no Zeno phenomenon occurs. Finally, the effectiveness of the proposed strategy is shown by illustrative examples.