Robust Finite-Time Stability Control of a Class of High-Order Uncertain Nonlinear Systems

In this study, a novel robust finite-time stability controller is proposed for a class of high-order uncertain nonlinear systems. It uses the dynamic surface control (DSC) approach to simplify the traditional backstepping design for high-order nonlinear systems, thus avoiding the explosion of terms. The finite-time stability of the closed-loop system is guaranteed to have high performance, such as fast transient and strong robustness to dynamic uncertainties, and the tracking error is made arbitrarily small. Simulation results of two examples indicate that the proposed controller is effective.