DocumentCode :
1391615
Title :
Model reduction of multidimensional and uncertain systems
Author :
Beck, Carolyn L. ; Doyle, John ; Glover, Keith
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Volume :
41
Issue :
10
fYear :
1996
fDate :
10/1/1996 12:00:00 AM
Firstpage :
1466
Lastpage :
1477
Abstract :
Model reduction methods are presented for systems represented by a linear fractional transformation on a repeated scalar uncertainty structure. These methods involve a complete generalization of balanced realizations, balanced Gramians, and balanced truncation model reduction with guaranteed error bounds, based on solutions to a pair of linear matrix inequalities which generalize Lyapunov equations. The resulting reduction methods immediately apply to uncertainty simplification and state order reduction in the case of uncertain systems but also may be interpreted as state order reduction for multidimensional systems
Keywords :
Lyapunov methods; matrix algebra; multidimensional systems; optimisation; reduced order systems; robust control; uncertain systems; balanced Gramians; error bounds; generalize Lyapunov equations; linear fractional transformation; linear matrix inequality; model reduction; multidimensional systems; optimisation; repeated scalar uncertainty structure; state order reduction; uncertain systems; Equations; Helium; Linear matrix inequalities; Machinery; Multidimensional systems; Reduced order systems; Robust control; Stochastic processes; Uncertain systems; Uncertainty;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.539427
Filename :
539427
Link To Document :
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