Output Feedback Stabilization of Saturated LFT Systems

In the paper, we will extend our recent results on output feedback control of LTI systems with actuator saturation to an important class of systems which have linear fractional parameter dependency. 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.