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dc.contributor.author
Khosravi, Mohammad
dc.contributor.author
Smith, Roy
dc.date.accessioned
2022-01-31T12:44:26Z
dc.date.available
2021-01-11T17:24:23Z
dc.date.available
2021-01-13T07:44:05Z
dc.date.available
2022-01-31T09:22:46Z
dc.date.available
2022-01-31T12:44:26Z
dc.date.issued
2021-07
dc.identifier.issn
2475-1456
dc.identifier.other
10.1109/LCSYS.2020.3005163
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/461413
dc.identifier.doi
10.3929/ethz-b-000461413
dc.description.abstract
We consider the problem of nonlinear system identification when prior knowledge is available on the region of attraction (ROA) of an equilibrium point. We propose an identification method in the form of an optimization problem, minimizing the fitting error and guaranteeing the desired stability property. The problem is approached by joint identification of the dynamics and a Lyapunov function verifying the stability property. In this setting, the hypothesis set is a reproducing kernel Hilbert space, and with respect to each point of the given subset of the ROA, the Lie derivative inequality of the Lyapunov function imposes a constraint. The problem is a non-convex infinite-dimensional optimization with an infinite number of constraints. To obtain a tractable formulation, only a suitably designed finite subset of the constraints are considered. The resulting problem admits a solution in form of a linear combination of the sections of the kernel and its derivatives. An equivalent finite dimension optimization problem with a quadratic cost function subject to linear and bilinear constraints is derived. A suitable change of variable gives a convex reformulation of the problem. The method is demonstrated by several examples.
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dc.format
application/pdf
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dc.format
6 p.
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dc.language.iso
en
en_US
dc.publisher
IEEE
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.subject
Nonlinear system identification
en_US
dc.subject
Region of attraction
en_US
dc.subject
Prior knowledge
en_US
dc.subject
Convex optimization
en_US
dc.title
Nonlinear System Identification With Prior Knowledge on the Region of Attraction
en_US
dc.type
Journal Article
dc.rights.license
In Copyright - Non-Commercial Use Permitted
dc.date.published
2020-06-26
ethz.journal.title
IEEE Control Systems Letters
ethz.journal.volume
5
en_US
ethz.journal.issue
3
en_US
ethz.pages.start
1091
en_US
ethz.pages.end
1096
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ethz.version.deposit
acceptedVersion
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ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
New York, NY
en_US
ethz.publication.status
published
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ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02140 - Dep. Inf.technologie und Elektrotechnik / Dep. of Inform.Technol. Electrical Eng.::02650 - Institut für Automatik / Automatic Control Laboratory::08814 - Smith, Roy (Tit.-Prof.) (ehemalig) / Smith, Roy (Tit.-Prof.) (former)
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02140 - Dep. Inf.technologie und Elektrotechnik / Dep. of Inform.Technol. Electrical Eng.::02650 - Institut für Automatik / Automatic Control Laboratory::08814 - Smith, Roy (Tit.-Prof.) (ehemalig) / Smith, Roy (Tit.-Prof.) (former)
en_US
ethz.date.deposited
2021-01-11T17:24:31Z
ethz.source
BATCH
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2021-01-13T07:44:13Z
ethz.rosetta.lastUpdated
2022-03-29T18:25:10Z
ethz.rosetta.exportRequired
true
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true
ethz.COinS
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