DocumentCode
1530438
Title
Brief paper: Strict linear matrix inequality characterisation of positive realness for linear discrete-time descriptor systems
Author
Zhou, B. ; Hu, Jiankun ; Duan, Guang-Ren
Author_Institution
Centre for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin, China
Volume
4
Issue
7
fYear
2010
fDate
7/1/2010 12:00:00 AM
Firstpage
1277
Lastpage
1281
Abstract
Positive realness is an important concept in control theory. For linear discrete-time descriptor systems, the positive realness lemma involves non-strict linear matrix inequality (LMI) and may cause numerical problems in practice. Here, strict LMI characterisation for positive realness for linear discrete-time descriptor systems is established. The new characterisation can be efficiently solved by the standard LMI toolbox and may take important functions in related design problems.
Keywords
control system synthesis; discrete time systems; linear matrix inequalities; linear systems; LMI toolbox; control theory; linear discrete-time descriptor systems; nonstrict linear matrix inequality; positive realness lemma; related design problems; strict linear matrix inequality characterisation;
fLanguage
English
Journal_Title
Control Theory & Applications, IET
Publisher
iet
ISSN
1751-8644
Type
jour
DOI
10.1049/iet-cta.2008.0597
Filename
5504866
Link To Document