Disturbance Attenuation for Linear Systems Subject to Actuator Saturation using Output Feedback

In this paper, we study the problem of disturbance attenuation by output feedback for linear systems subject to actuator saturation. A nonlinear feedback control law, expressed in the form of a quasi-LPV system with state dependent scheduling parameter, is constructed that leads to the attenuation of the effect of the disturbance on the output of the system. The level of disturbance attenuation is measured in terms of the restricted L2gain and the restricted L2to L∞gain over a set of bounded disturbances.