DocumentCode
769845
Title
Quadratic stability and stabilization of linear systems with Frobenius norm-bounded uncertainties
Author
Lee, Joon Hwa ; Kwon, Wook Hyun ; Lee, Jae-Won
Author_Institution
Dept. of Control & Instrum. Eng., Seoul City Univ., South Korea
Volume
41
Issue
3
fYear
1996
fDate
3/1/1996 12:00:00 AM
Firstpage
453
Lastpage
456
Abstract
In this paper, a quadratic stability condition and a quadratic stabilizer are proposed for linear systems with Frobenius norm-bounded uncertainties. The necessary and sufficient condition for the quadratic stability of the uncertain system is given by a Riccati inequality. The proposed state feedback quadratic stabilizer can be obtained by solving a Riccati equation
Keywords
H∞ control; Riccati equations; linear systems; matrix algebra; stability; state feedback; uncertain systems; Frobenius norm-bounded uncertainties; Riccati equation; Riccati inequality; linear systems; necessary condition; quadratic stability; stabilization; state feedback; sufficient condition; uncertain system; Artificial intelligence; Automatic control; Linear systems; Measurement uncertainty; Moon; Riccati equations; Stability; State feedback; Sufficient conditions; Uncertain systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.486650
Filename
486650
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