Abstract
The design problem of mixed L 2 , H 2 gain scheduling nonlinear state feedback controller for Linear Parameter Varying (LPV) systems subjected to actuator saturations and L 2 bounded disturbances is considered. First, a new formulation of H 2 controllers has been presented based on the homogeneous polynomial parameter dependent (HPPD) representation. Then a systematic procedure to generate a sequence of LMI conditions of increasing precision for obtaining a sub-optimal L 2 , H 2 state-feedback controller for LPV systems subject to actuator saturations and L 2 -bounded disturbances, has been presented. The presented method utilizes the modified sector condition for actuator saturation formalization and HPPD representation of LPV systems.