Analysis and Design for Discrete-time Linear Systems Subject to Actuator Saturations

This paper studies the problems of stability analysis and controller design for discrete-time linear systems subject to actuator saturations. By means of the saturation-dependent Lyapunov function, new stability test conditions are proposed firstly by introducing additional slack variables which allow to get enhanced relaxations. Furthermore, based on that, via a cone complementarity approach, different LMI-based optimization algorithms are developed by choosing different structures for the slack variables to design a state feedback controller which maximizes an estimation of domain of attraction. The simulation results illustrate the effectiveness of the proposed methods.