Output feedback stabilization of linear systems with actuator saturation

The paper presents a method for designing output feedback laws that stabilize a linear system subject to actuator saturation with a large domain of attraction. This method applies to general linear systems including strictly unstable ones, and is presented in both continuous-time and discrete-time setting. A nonlinear output feedback controller is first expressed in the form of a quasi-LPV system. Conditions under which the closed-loop system is locally asymptotically stable are then established in terms of the coefficient matrices of the controller. The design of the controller (coefficient matrices) that achieves a large domain of attraction is then formulated and solved as an optimization problem with LMI constraints.