Control of singularly perturbed systems subject to actuator saturation

This paper considers the stabilization problem for singularly perturbed systems (SPSs) subject to actuator saturation. A state feedback stabilization controller design method is proposed and a basin of attraction is constructed. The proposed method is expressed in terms of linear matrix inequalities. The numerical problems due to the ill conditioning are avoided by using a non-decomposing strategy. Finally, two examples are given to show the advantages and effectiveness of the the method proposed in this paper.