Stabilization bound of discrete singularly perturbed systems subject to actuator saturation

This paper considers the problem of stabilization bound of the discrete singularly perturbed system (SPSs), which is subject to actuator saturation. An approach to design a state feedback controller which can stabilize the discrete SPSs is proposed. A method to estimate the basin of attraction is constructed. In order to reduce the conservatism of the estimation of the basin of attraction, a convex optimization algorithm is formulated. Finally, two examples are presented to illustrate the effectiveness of the methods proposed in this paper and advantages.