Fuzzy Adaptive Fixed-Time Control for Error-Constraint Nonlinear System using Event-Triggered Communication*

Abstract

This paper investigates the problem of an event-triggered based adaptive fixed-time tracking control for error-constraint nonlinear system. The fuzzy logical systems are applied to handle the unknown nonlinear functions in the control design process. Then, by incorporating transformed error into the barrier Lyapunov function, all the tracking errors can be constrained in predefined dynamic performance. Then, event-triggered mechanism is combined with backstepping technique for the purpose of reducing the communication burden. An event-triggered based adaptive controller is constructed in a fixed time. Moreover, in accordance with fixed-time theory, the proposed control scheme can ensure that all signals of the closed-loop systems are bounded. Finally, a simulation is proved that the effectiveness of control scheme.