Static Output Feedback Stabilization of Multiple Models Subject to Actuators Saturation

This paper deals with the stabilization of multiple models under actuator saturation analysis via a static output feedback control law. The multiple model approach is used to represent the nonlinear system by interpolation of local linear models. The control inputs are subject to actuators saturation in polytopic modeling. The set of invariance condition for static output feedback system under actuator saturation is first established. The estimation of the largest domain of the attraction for this system is formulated and solved as a linear matrix inequality (LMI) optimization problem. A numerical example is given to show the effectiveness of the proposed method.