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
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;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5160175
