Skip Navigation

IMA Journal of Mathematical Control and Information 1998 15(1):1-23; doi:10.1093/imamci/15.1.1
© 1998 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
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 DRGAN, V.
Right arrow Articles by IONESCU, V.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

A robust controller for time-dependent discrete systems

V. DRGAN1, A. HALANAY1 and V. IONESCU2

1Faculty of Mathematics, University of Bucharest
2Department of Control Engineering, University ‘Politehnica’ Bucharest

1 Address for correspondence: Vlad Ionescu, 3 Emile Zola, 71272, Bucharest, Romania. Email: ionescu{at}indinf.pub.ro. Tel: (40-1) 633 63 78.

The problem of robust stabilization for a time-dependent discrete system is investigated. The robustness definition we use in the paper is that derived from an operator-based description of a system disturbed by stable operator factor perturbations in a normalized left coprime factorization of the nominal plant. Explicit formulae for a corresponding robust controller in terms of the nominal data and stabilizing solutions of two standard Riccati equations are obtained. An evaluation of the maximum stability margin is also given. The treatment of the subject is in the framework of the so-called generalized Popov-Yakubovich theory.

Keywords: robust stabilization; Riccati equation; Kalman-Szego-Popov-Yakubovich system; coprime factorization; Hankel and Toeplitz operators; disturbance-attenuation problem.


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.