Title

Connection of multiplicative/relative perturbation in coprime factors and gap metric uncertainty

Document Type

Article

Publication Date

1-1-1998

Abstract

In this paper, it is shown that a linear uncertain system described by a certain ℒ∞ multiplicative or relative perturbation in its coprime factors that are not necessarily normalized, is the same as the one described by a gap or ν-gap metric ball. Hence all the stability robustness results for gap or ν-gap metric uncertainty carry over to this type of coprime factor perturbation. Uncertain systems described by ℋ∞ multiplicative or relative perturbations in coprime factors are also studied in this paper. Necessary and sufficient conditions for robust stability of a feedback system with coprime factors of both the plant and the controller subject to simultaneous ℋ∞ multiplicative or relative perturbations are obtained. © 1998 Elsevier Science Ltd. All rights reserved.

Publication Source (Journal or Book title)

Automatica

First Page

603

Last Page

607

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