Global stabilisation of nonlinear time-delay systems by partial-state feedback

摘要

This paper studies the global stabilisation of a class of partial-state feedback nonlinear systems with time-varying delay. By adopting the dynamic gain-based design method and backstepping technique, a state-feedback controller is constructed with the help of appropriate Lyapunov-Krasovskii functional. It is proved that all the measurable states of the closed-loop systems converge to the origin, and a simulation example is given to verify the effectiveness of the proposed scheme.