LPV control with observer and dynamic compensator

In this paper we will present two techniques to design a dynamic output feedback controller for Linear Parameter Varying (LPV) systems with H₂ constraint. Assuming that the model is polytopic, the first technique allows a direct synthesis of a controller having the same LPV structure as the system. The second technique seeks for an observer based controller, the originality of this controller that both state feedback gain and observer gain are LPV. Assuming that the parameter variation is so slow that the system can be nearly considered as LTI, the controller will satisfy additional constraints on the closed loop pole location.