Generalized Non-Switching Reaching Laws for SMC of Discrete Time Dynamical Systems

Abstract

In this paper a new class of non-switching type reaching laws for discrete time sliding mode control of dynamical systems is proposed. The reaching laws which belong to this class drive the state of the controlled system to the vicinity of the sliding hyperplane and ensure limited rate of change of the sliding variable, which results in the limited rate of change of the system output. In the second part of the paper, the proposed reaching laws are applied to solve the supply chain control problem and favorable properties of the obtained inventory management policies are proved analytically and demonstrated in a simulation example.