Title :
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
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;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480636
