Title :
On robustness analysis with non-diagonally structured uncertainty
Author :
Chen, Jie ; Fan, Michael K H ; Nett, Carl N.
Author_Institution :
Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
The authors study the structured singular value for a class of robustness analysis problems in which the uncertainty is allowed to be non-diagonally structured, and the norm of each block is individually considered. The results extend previous work conducted for problems where each uncertainty block is assumed to be a scalar. Computations of this generalization notion via both the similarity and nonsimilarity scaling methods are investigated. It is shown in particular that under certain circumstances the structured singular value defined here coincides with a vector-induced norm
Keywords :
matrix algebra; stability; matrix algebra; nondiagonally structured uncertainty; robustness analysis; scalar uncertainty; stability; vector-induced norm; Constraint optimization; Feedback; Robustness; Stability; Transfer functions; Uncertainty; Upper bound;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261244
