DocumentCode :
2471579
Title :
A quadratic stability result for singular switched systems with application to anti-windup control
Author :
Shorten, R. ; Corless, M. ; Middleton, R. ; Klinge, S. ; Wulff, K.
Author_Institution :
Hamilton Inst., NUI Maynooth, Maynooth, Ireland
fYear :
2009
fDate :
10-12 June 2009
Firstpage :
1917
Lastpage :
1922
Abstract :
In this note we consider the problem of determining necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a pair of stable linear time-invariant systems whose system matrices are of the form A, A-ghT, and where one of the matrices is singular. We then apply this result in a study of a feedback system with a saturating actuator.
Keywords :
Lyapunov matrix equations; feedback; linear systems; stability; time-varying systems; antiwindup control; common quadratic Lyapunov function; feedback system; quadratic stability; singular switched systems; stable linear time-invariant systems; system matrices; Control systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov method; Stability; Sufficient conditions; Switched systems; Switching systems; Symmetric matrices; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
ISSN :
0743-1619
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2009.5160413
Filename :
5160413
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2471579
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