DocumentCode
1378226
Title
A Gramian-Based Approach to Model Reduction for Uncertain Systems
Author
Li, Li ; Petersen, Ian R.
Author_Institution
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
Volume
55
Issue
2
fYear
2010
Firstpage
508
Lastpage
514
Abstract
The technical note considers a problem of model reduction for a class of uncertain systems with structured norm bounded uncertainty. The technical note introduces controllability and observability Gramians in terms of certain parameterized algebraic Riccati inequalities. Based on these Gramians, three model reduction approaches are investigated for the underlying uncertain systems.
Keywords
Riccati equations; observability; uncertain systems; controllability Gramians; model reduction approaches; observability Gramians; parameterized algebraic Riccati inequalities; structured norm bounded uncertainty; uncertain systems; Australia; Controllability; Linear matrix inequalities; Observability; Reduced order systems; Riccati equations; Robust control; Robustness; Uncertain systems; Uncertainty; Linear fractional transformation; linear matrix inequality; model reduction; uncertain systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2009.2037466
Filename
5373988
Link To Document