DocumentCode
2240419
Title
Model reduction by moment matching for nonlinear systems
Author
Astolfi, Alessandro
Author_Institution
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
4873
Lastpage
4878
Abstract
The problem of model reduction by moment matching for nonlinear systems is addressed and solved using the recently introduced notion of moment for nonlinear systems. It is shown that reduced order models can be parameterized by a free mapping which, in turn, can be used so that the model possesses specific properties, e.g. it has an asymptotically stable equilibrium or given relative degree, it is minimum phase, it is passive. In addition, a nonlinear enhancement of the notion of Markov parameters is provided. The theory is illustrated by means of simple examples.
Keywords
Markov processes; asymptotic stability; nonlinear control systems; reduced order systems; Markov parameters; asymptotically stable equilibrium; model reduction; moment matching; nonlinear enhancement; nonlinear systems; Approximation error; Equations; Helium; Integrated circuit modeling; Nonlinear control systems; Nonlinear systems; Predictive models; Reduced order systems; Signal mapping; Weather forecasting;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4738791
Filename
4738791
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