Robust H∞ dynamic output feedback control for 2D linear parameter-varying systems

Abstract

This paper is concerned with the problem of robust H∞ dynamic output feedback control for 2D discrete-time linear parameter-varying systems. Given a Fornasini-Marchesini local state-space system with linear varying parameters, our attention is focussed on the design of full-order H∞ dynamic output feedback controller, which guarantees the closed-loop system to be asymptotically stable and has a prescribed H∞ disturbance attenuation performance. A sufficient condition for the existence of a desired robust output feedback controller is established in terms of parameterized linear matrix inequalities, and the corresponding controller synthesis is cast into a convex optimization problem which can be efficiently handled by using standard numerical software. A numerical example is provided to illustrate the effectiveness of the proposed design method. © The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.