Adaptive finite-time control for high-order nonlinear systems with mismatched disturbances

摘要

In this paper, adaptive finite-time control is addressed for a class of high-order nonlinear systems with mismatched disturbances. An adaptive finite-time controller is designed in which variable gains are adjusted to ensure finite-time stabilization for the closed-loop system. Chattering is reduced by a designed adaptive sliding mode observer which is also used to deal with the mismatched disturbances in finite time. The proposed adaptive finite-time control method avoids calculating derivative repeatedly of traditional backstepping methods and reduces computational burden effectively. Three numerical examples are given to illustrate the effectiveness of the proposed method.