Introduction

Abstract

Over the past decades, control systems subject to actuator saturation have been extensively studied in the research community, due in part to their ubiquity in engineering and in part to the theoretical challenges they pose in control theory. Enormous amount of research has been devoted to the systematic analysis and synthesis for problems such as global stability and stabilization , semi-global stabilization , and regional stability and stabilization of such systems. In this chapter, we will review some main results on stability analysis and stabilization of linear systems subject to actuator saturation. Our focus in this book is regional stability and stabilization, although attention is also paid to global stability and stabilization as the limit cases of the local results and to some performance issues beyond large stability regions .