DocumentCode
696534
Title
Invariant sets for a class of linear systems with variable time-delay
Author
Lombardi, Warody ; Olaru, Sorin ; Niculescu, Silviu Iulian
Author_Institution
Autom. Control Dept., SUPELEC, Gif-sur-Yvette, France
fYear
2009
fDate
23-26 Aug. 2009
Firstpage
4757
Lastpage
4762
Abstract
This paper focuses on the control of a class of linear systems with polytopic uncertainty to model the presence of variable delay affecting the input. It is shown that the embedding problem can be casted as a polytopic containment problem and a new approach to construct a simplex enclosure is proposed. The stability of the closed-loop system is guaranteed by forcing the state trajectories to attain a robust positively invariant set in a given prediction window. Illustrative examples complete the paper.
Keywords
closed loop systems; delays; linear systems; stability; uncertain systems; closed-loop system stability; embedding problem; invariant sets; linear systems; polytopic containment problem; polytopic uncertainty; simplex enclosure; state trajectories; variable time-delay; Decision support systems; Europe; Linear systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2009 European
Conference_Location
Budapest
Print_ISBN
978-3-9524173-9-3
Type
conf
Filename
7075152
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