Finite-time output-feedback control design for a class of nonlinear time-delay systems*

This study investigates the practical finite-time output feedback control for a class of nonlinear time-delay systems. The observer is first constructed to estimate the unmeasurable states. By combining finite-time Lyapunov stability theory with the backstepping design, a fuzzy adaptive practical finite-time control strategy is proposed. Together with an appropriate Lyapunov-Krasoviskii functional, the stability of the closed-loop system is proved, which means that the closed-loop system is semi-global practical finite-time stability. Finally, one example is provided to demonstrate the validity of the proposed scheme.