A Minimum Operator-Based Discrete-Time Sliding Mode Control

Abstract

In this article, a minimum operator-based law for discrete-time sliding mode control is proposed, which stands between the Gao's reaching law and Utkin's reaching law, alleviating the limitations of both types, i.e., primarily chattering in the former and overly large control action in the latter case. The minimum operator-based discrete-time sliding mode control is designed for first-order and second-order perturbed systems. Further, a minimum operator-based twisting-like algorithm is developed, which ensures the band free convergence of the system states in finite time. Simulation results show the efficacy of the proposed methodology. © 1963-2012 IEEE.