Event-triggered fixed-time control for nonlinear systems with time-varying delays and faults

This paper investigates the issue of event-triggered fuzzy tracking control for a class of high-order time-delay nonlinear systems. The motivation of this study is to explore whether an adaptive tracking control strategy can be formulated under conditions of unknown nonlinearity and non-affine faults, ensuring all signals remain bounded within a fixed time while maintaining the stability of the closed-loop system. Unlike traditional methods, this paper employs dynamic surface technology and event-triggered rules for controllers and actuators, effectively addressing the complexity explosion problem in existing works. A specific compact set is constructed, and using the fuzzy logic approximation method, it can be proven that the fuzzy approximation is effective, all closed-loop signals are bounded, and asymptotic tracking is achieved. The adverse effects due to unclear time delays are mitigated by selecting appropriate compensation functions. Finally, the feasibility of the devised method are validated through simulations on actual systems.