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

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.