Nonlinear model reduction in the loewner framework
File(s)Nonlinear_Model_Reduction_in_the_Loewner_Framework.pdf (797.67 KB)
Published version
OA Location
Author(s)
Simard, Joel D
Astolfi, Alessandro
Type
Journal Article
Abstract
We introduce a novel method of model reduction for nonlinear systems by extending the Loewner framework developed for linear time-invariant systems. This objective is achieved by defining Loewner functions obtained by utilizing a state-space interpretation of the Loewner matrices. A Loewner equivalent model using these functions is derived. This allows constructing reduced order models achieving interpolation in the Loewner sense.
Date Issued
2021-12-01
Date Acceptance
2021-09-08
Citation
IEEE Transactions on Automatic Control, 2021, 66 (12), pp.5711-5726
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers
Start Page
5711
End Page
5726
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
66
Issue
12
Copyright Statement
© 2022 The Author(s). This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see http://creativecommons.org/licenses/by/4.0/
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000725800500010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Interpolation
Linear systems
Reduced order systems
Nonlinear systems
Generators
Mathematical model
Interconnected systems
Center manifold
interpolation
Loewner matrices
model reduction
nonlinear systems
DIFFERENTIAL EIGENSTRUCTURE
SYSTEMS
HANKEL
REALIZATION
Publication Status
Published
Date Publish Online
2021-09-08