Finite-time adaptive robust control of nonlinear time-delay uncertain systems with disturbance

This paper investigates finite-time adaptive robust control problem for a general class of nonlinear time-delay systems with uncertain and external disturbance via the Lyapunov-Krasovskii (L-K) method and presents some delay-independent and delay-dependent results on the issue. First, by applying the orthogonal decomposition method, this paper presents an equivalent form. Based on which, we study the finite-time adaptive robust control problem for the systems by constructing a specific L-K functional and designing a suitable controller. Different from existing works, this paper studies finite-time adaptive robust control problem for general nonlinear delay system and presents a delay-dependent sufficient condition on the problem. Finally, an illustrative example is given to show the effectiveness of the result in this paper.