Adaptive fast finite-time sliding mode scheme based on barrier function for second order systems with matched disturbances

Abstract

This paper addresses the finite-time control problem for a class of second-order nonlinear systems with matched disturbances. An adaptive finite-time sliding mode control scheme has been proposed to solve the issue of stabilizing a second-order system with matched disturbance. By fully exploiting the properties of different functions at specific intervals, a sliding manifold with a faster convergence rate and its extended form have been constructed. Meanwhile, the corresponding sliding mode controller stabilizes the system with a faster convergence rate by utilizing the features of the proposed sliding manifold, and guarantees that the time to reach the equilibrium point from any initial state is finite. Besides, to reduce the effect of the matched disturbance with unknown upper bounds, a compensation term that combines the adaptive method and a positive semi-definite barrier function is proposed as well drives the manifold to a predefined region. Finally, simulations are presented to demonstrate the effectiveness of the proposed scheme compared to existing approaches and successfully applied in the field of aircraft attitude control to verify the practice potential.