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

Author

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

Author_Institution

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

Volume

2

fYear

1995

fDate

13-15 Dec 1995

Firstpage

1976

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 as well as Λ-gap uncertainty

Keywords

robust control; stability criteria; uncertain systems; Λ-gap uncertainty; basic perturbation model; fractional model representations; gap-metric uncertainty; necessary and sufficient conditions; plant representation; stability robustness; standard representation; uncertainty descriptions; unstructured additive coprime factor uncertainty; Adaptive control; Additives; Control design; Control system synthesis; Mechanical engineering; Power system modeling; Robust control; Robust stability; Sufficient conditions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.480636

Filename

480636