Stabilization of chaotic fractional-order Lu ̈ system using sliding mode control

Abstract

In this paper a fractional-order sliding mode controller (FOSMC) is proposed to control the chaotic fractional-order l’s system. Sliding mode control is a robust controller and its objective is to allo the system states to move to the sliding surface and remain on it. The stability analysis for the proposed control is performed based on the Lyapunov stability theorem. Simulation results show the ability of the proposed controller to improve the system performance.