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IMA Journal of Mathematical Control and Information Advance Access originally published online on December 19, 2008
IMA Journal of Mathematical Control and Information 2009 26(1):23-44; doi:10.1093/imamci/dnm028
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© The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Robust H{infty} dynamic output feedback control for 2D linear parameter-varying systems

Ligang Wu{dagger}

Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, People's Republic of China

James Lam{ddagger}

Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong

Changhong Wang§

Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, People's Republic of China

{dagger} Corresponding author. Email: ligangwu{at}hit.edu.cn

{ddagger} Email: james.lam{at}hku.hk

§ Email: cwang{at}hit.edu.cn

Received on June 28, 2006; Accepted on October 1, 2007

This paper is concerned with the problem of robust H{infty} 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{infty} dynamic output feedback controller, which guarantees the closed-loop system to be asymptotically stable and has a prescribed H{infty} 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.

Keywords: dynamic output feedback; linear parameter-varying (LPV) systems; parameterized linear matrix inequalities (PLMIs); robust H{infty} control; 2D systems.


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