Event-triggered adaptive finite-time control for nonlinear systems under asymmetric time-varying state constraints

This paper investigates the issue of event-triggered adaptive finite-time state-constrained control for multi-input multi-output uncertain nonlinear systems. To prevent asymmetric time-varying state constraints from being violated, a tan-type nonlinear mapping is established to transform the considered system into an equivalent "non-constrained" system. By employing a smooth switch function in the virtual control signals, the singularity in the traditional finite-time dynamic surface control can be avoided. Fuzzy logic systems are used to compensate for the unknown functions. A suitable event-triggering rule is introduced to determine when to transmit the control laws. Through Lyapunov analysis, the closed-loop system is proved to be semi-globally practical finite-time stable, and the state constraints are never violated. Simulations are provided to evaluate the effectiveness of the proposed approach.