DocumentCode
574607
Title
Stability criteria for uncertain piecewise affine time-delay systems
Author
Shiming Duan ; Jun Ni ; Ulsoy, A. Galip
Author_Institution
Univ. of Michigan, Ann Arbor, MI, USA
fYear
2012
fDate
27-29 June 2012
Firstpage
5460
Lastpage
5465
Abstract
The stability problem for piecewise affine time-delay systems with norm-bounded uncertainty is studied in this paper. Sufficient stability conditions are derived using the Lyapunov-Krasovskii functional with a triple integration term. This approach handles switching based on the delayed states (in addition to the states) for a PWA time-delay system, and reduces the conservativeness of previous approaches. The effectiveness of the proposed approach is demonstrated by comparison with existing methods through numerical examples.
Keywords
Lyapunov methods; delays; numerical analysis; stability; uncertain systems; Lyapunov-Krasovskii functional; PWA system; delayed states; norm-bounded uncertainty; piecewise affine time-delay systems; stability criteria; triple integration term; Delay effects; Numerical stability; Stability criteria; Switches; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2012
Conference_Location
Montreal, QC
ISSN
0743-1619
Print_ISBN
978-1-4577-1095-7
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2012.6315193
Filename
6315193
Link To Document