On stabilization of nonstandard singularly perturbed systems with small delays in state and control

Author

Glizer, Valery Y.

Author_Institution

Fac. of Aerosp. Eng., Technion Israel Inst. of Technol., Haifa, Israel

Volume

49

Issue

6

fYear

2004

fDate

6/1/2004 12:00:00 AM

Firstpage

1012

Lastpage

1016

Abstract

A nonstandard singularly perturbed linear time-invariant system with a general type of small delay in state and control variables is considered. Two much simpler parameter-free systems (the reduced-order and the boundary-layer ones), associated with the original system, are introduced. Since the original system is nonstandard, the reduced-order one is descriptor (differential-algebraic). A composite feedback control exponentially stabilizing the original system is constructed based on stabilizing controls of the reduced-order and boundary-layer systems. An illustrative example is presented.

Keywords

differential equations; feedback; linear systems; reduced order systems; singularly perturbed systems; stability; time-varying systems; boundary layer system; differential algebraic system; feedback control; linear time-invariant system; nonstandard singularly perturbed system; reduced order system; stabilization; Aerospace engineering; Automatic control; Control systems; Delay systems; Feedback control; Linear feedback control systems; Boundary-layer; descriptor; differential-algebraic; fast; nonstandard singularly perturbed system; reduced-order; slow; stabilizing composite control; system; system with delays in state and control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2004.829636

Filename

1304929