Ellipsoidal approximations to attraction domains of linear systems with bounded control

Authors:
Boris Polyak;Pavel Shcherbakov
Affiliations:
Institute of Control Science, Moscow, Russia;Institute of Control Science, Moscow, Russia
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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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.