DocumentCode
2465935
Title
Ellipsoidal approximations to attraction domains of linear systems with bounded control
Author
Polyak, Boris ; Shcherbakov, Pavel
Author_Institution
Inst. of Control Sci., Moscow, Russia
fYear
2009
fDate
10-12 June 2009
Firstpage
5363
Lastpage
5367
Abstract
We are concerned with characterization of attraction domains for linear state-space systems. Considered are bounded linear state feedback control and saturated control. Attraction domains for such systems are described in terms of invariant ellipsoids using LMI-based techniques and semidefinite programming (SDP). For systems with saturated control, the ideology of absolute stability is adopted. An application to nonlinear systems is provided.
Keywords
linear matrix inequalities; linear systems; stability; state feedback; state-space methods; attraction domains; bounded control; ellipsoidal approximations; linear matrix inequalities; linear state-space systems; saturated control; semidefinite programming; state feedback control; Control systems; Ellipsoids; Linear feedback control systems; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Open loop systems; Stability; State feedback; Time invariant systems;
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.2009.5160175
Filename
5160175
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