DocumentCode
897013
Title
Recursive technique for computation of Gramians
Author
Sreeram, V.
Author_Institution
Dept. of Electr. & Electron. Eng., Univ. of Western Australia, Nedlands, WA, Australia
Volume
140
Issue
3
fYear
1993
fDate
5/1/1993 12:00:00 AM
Firstpage
160
Lastpage
166
Abstract
A simple recursive method for the computation of Gramians for stable linear continuous systems is proposed. The method is based on an extension of Astrom-Jury-Agniel algorithm. The algorithms for the computation of controllability, observability, and cross Gramians for both SISO and MIMO systems are presented. The proposed method is illustrated by numerical examples and is also compared with the Lyapunov equation method of computing the Gramians.
Keywords
Lyapunov methods; controllability; linear systems; multivariable control systems; observability; stability; Astrom-Jury-Agniel algorithm; Lyapunov equation; MIMO systems; SISO systems; controllability; cross Gramians; multivariable systems; observability; recursive method; stability; stable linear continuous systems;
fLanguage
English
Journal_Title
Control Theory and Applications, IEE Proceedings D
Publisher
iet
ISSN
0143-7054
Type
jour
Filename
214843
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