Frequency sweeping tests for stability independent of delay

Author

Chen, Jie ; Latchman, Haniph A.

Author_Institution

Coll. of Eng., California Univ., Riverside, CA, USA

Volume

40

Issue

9

fYear

1995

fDate

9/1/1995 12:00:00 AM

Firstpage

1640

Lastpage

1645

Abstract

In this paper we study the stability properties of linear time-invariant delay systems given in a state space form. We consider specifically the notion of asymptotic stability independent of delay. Systems with both commensurate and noncommensurate delays are investigated. We present for each class of systems a necessary and sufficient condition in terms of structured singular values, and further we demonstrate how these conditions may be extended to study stability independent of delay for uncertain systems. Our results consist of several frequency sweeping tests that can be systematically implemented and that should complement the previous work

Keywords

asymptotic stability; control system analysis; delay systems; linear systems; state-space methods; uncertain systems; asymptotic stability; delay systems; frequency sweeping tests; linear time-invariant systems; necessary condition; state space; structured singular values; sufficient condition; uncertain systems; Asymptotic stability; Automatic control; Control nonlinearities; Control systems; Delay systems; Frequency; Process control; System testing; Transfer functions; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.412637

Filename

412637