Skip Navigation



IMA Journal of Mathematical Control and Information Advance Access published online on September 14, 2007
IMA Journal of Mathematical Control and Information, doi:10.1093/imamci/dnm022
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
25/2/251    most recent
dnm022v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Zhang, B.
Right arrow Articles by Xu, S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Gain-scheduled H{infty}-output feedback control for parameter-varying systems with delays

Baoyong Zhang{dagger}

School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, People's Republic of China

Shaosheng Zhou

Department of Automation, Hangzhou Dianzi University, Hangzhou 310018, Zhejiang, People's Republic of China

Shengyuan Xu

School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, People's Republic of China

{dagger} Email: baoyongzhang{at}yahoo.com.cn

Received on 6 December 2005; Revision received 18 September 2006. Accepted on 5 March 2007


  Abstract

This paper deals with the problem of gain-scheduled H{infty}-output feedback controller design for a class of parameter-varying systems with time-varying delays. By introducing equations involving free-weighting matrices, a new condition for the stability and H{infty}-performance analysis of the resulting closed-loop system is obtained. Based on this, a sufficient condition for the existence of a desired gain-scheduled H{infty}-output feedback controller is derived and expressed in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of the desired controller is given. Numerical examples are provided to demonstrate the applicability of the proposed design method.

Keywords: gain-scheduled control; H{infty}-output feedback; linear fractional transformation; parameter-varying systems; time-varying delays.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.