Design of Output Feedback Gain Scheduling Control Systems via Descriptor Representations

Abstract

This paper is concerned with an approach to design of output-feedback gain-scheduling controllers via solving LMIs, based on descriptor representation of linear parameter varying (LPV) systems. Algebraic constraints of the descriptor form can reduce a state space LPV model with complex functions of scheduling parameters to a descriptor LPV model with simplified functions of the parameters. By change-of-variables technique, LMI conditions are derived for design of output feedback gain-scheduling controllers for descriptor LPV systems. A numerical example is provided to illustrate the proposed method.