DocumentCode :
1432815
Title :
Design of reduced-order l2-l filter design for singular discrete-time systems using strict linear matrix inequalities
Author :
Mahmoud, Magdi S. ; Xia, Yu
Author_Institution :
Syst. Eng. Dept., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
Volume :
4
Issue :
3
fYear :
2010
fDate :
3/1/2010 12:00:00 AM
Firstpage :
509
Lastpage :
519
Abstract :
In this study, the problem of designing regular robust l2-l filter for a class of linear singular discrete-time systems with norm-bounded uncertainties is investigated. A class of regular linear filters is fully analysed, then necessary and sufficient conditions of robust admissibility are established. Guaranteed l2-l performance of the filtered system is provided and expressed in terms of the solution of strict linear matrix inequalities (LMIs). The cases of full- and zeroth-order realisable filter are derived as limiting cases of design. Numerical examples are worked out to illustrate the theoretical development.
Keywords :
discrete time systems; filtering theory; linear matrix inequalities; l filter design; linear singular discrete time systems; norm bounded uncertainties; reduced order l2 filter; strict linear matrix inequality; zeroth order filter;
fLanguage :
English
Journal_Title :
Control Theory & Applications, IET
Publisher :
iet
ISSN :
1751-8644
Type :
jour
DOI :
10.1049/iet-cta.2008.0332
Filename :
5426464
Link To Document :
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