A unified approach to stability robustness for uncertainty descriptions based on fractional model representations

Author

De Callafon, Raymond A. ; Den Hof, Paul M J Van ; Bongers, Peter M M

Author_Institution

Mech. Eng. & Syst. Control Group, Delft Univ. of Technol., Netherlands

Volume

41

Issue

5

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

723

Lastpage

727

Abstract

The powerful standard representation for uncertainty descriptions in a basic perturbation model based on a standard plant representation can be used to attain necessary and sufficient conditions for stability robustness within various uncertainty descriptions. In this paper, these results are employed to formulate necessary and sufficient conditions for stability robustness of several uncertainty sets based on unstructured additive coprime factor uncertainty, gap-metric uncertainty, and Λ-gap uncertainty

Keywords

control system synthesis; feedback; robust control; uncertain systems; Λ-gap uncertainty; fractional model representations; gap-metric uncertainty; necessary and sufficient conditions; stability robustness; uncertainty descriptions; uncertainty sets; unified approach; unstructured additive coprime factor uncertainty; Adaptive control; Additives; Control design; Control systems; Control theory; Feedback; Mechanical engineering; Robust stability; Sufficient conditions; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.489211

Filename

489211