Analysis and design of output feedback control systems in the presence of actuator saturation

Abstract

This paper studies the problems of stability analysis and dynamic output feedback controller design for continuous-time linear systems under state saturation. In this paper, both full state saturation and partial state saturation are considered. In order to solve the key problem, a new system is constructed. Firstly, a new LMI-based method is presented for estimating the domain of attraction of the origin for a closed-loop system under state saturation. Based on this method, an LMI-based algorithm is developed for constructing dynamic output-feedback controller which guarantees that the domain of attraction of the origin for the closed-loop system is as large as possible. An example is given to illustrate the efficiency of the design method.