Dynamical Behaviors of Discrete-Time Fast Terminal Sliding Mode Control Systems

Abstract

In this chapter, the dynamical behaviors of discrete-time fast terminal sliding mode control systems are studied. Based on Euler’s discretization, the approximate discrete-time model is obtained. Using a recursive analysis method, the boundedness for the steady states of the discrete-time system is established. Theoretical analysis shows that the discrete-time fast terminal sliding mode control method can offer a higher output tracking precision than the discrete-time linear sliding mode control method. As an application of the proposed theoretical results, the control problem for the DC-DC buck converters via discrete-time fast terminal sliding mode control is investigated. Simulation results are given to demonstrate the effectiveness of the proposed method.KeywordsDynamical behaviorsEuler discretizationFast terminal sliding mode