Discrete-time Integral Sliding Mode Control with Anti-windup

Abstract

This paper presents a discrete-time integral sliding mode control with anti-windup for single-input single-output linear systems with external disturbances whose upper bound is not required to be known. The proposed scheme is designed by using a linear quadratic regulator approach in order to ensure the stability of the closed-loop system in the quasi-sliding mode. The robustness with respect to external disturbances, the follow-up of a reference model and the elimination of the reaching phase are guaranteed. The chattering phenomenon is avoided using the saturation function in the controller design. Furthermore, the anti-windup method is used in order to improve system performance and to reduce the control input values in the initial phase. Simulation results show that the developed controller achieves better results than the conventional discrete-time sliding mode controller and the discrete-time integral sliding mode controller.

Optimal Discrete-time Sliding Mode Control for Nonlinear Systems Subject to Input Constraints

“…Several approaches was proposed in the literature to overcome it. In [15][16][17], the saturation function is used as smooth one instead of the sign function which is the origin of discontinuity. In [18][19][20], discrete-time second order sliding mode control (DSOSMC) was proposed for linear and nonlinear systems.…”

An Approach to Compute Low-Order H∞ Controllers

“…This article proposes an algorithm to compute H ∞ controllers similar to the Matlab procedure hinfsyn.m (Gahinet & Apkarian, 1994), but of low-order. In order to formulate the optimisation Iulia Rădulescu, Dan Ștefănoiu problem for the control law, linear matrix inequalities (Jedda & Douik, 2018) are used. The proposed algorithm has 7 steps.…”