Model reduction of nonlinear systems subject to input disturbances

Handle URI:
http://hdl.handle.net/10754/625676
Title:
Model reduction of nonlinear systems subject to input disturbances
Authors:
Ndoye, Ibrahima; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
The method of convex optimization is used as a tool for model reduction of a class of nonlinear systems in the presence of disturbances. It is shown that under some conditions the nonlinear disturbed system can be approximated by a reduced order nonlinear system with similar disturbance-output properties to the original plant. The proposed model reduction strategy preserves the nonlinearity and the input disturbance nature of the model. It guarantees a sufficiently small error between the outputs of the original and the reduced-order systems, and also maintains the properties of input-to-state stability. The matrices of the reduced order system are given in terms of a set of linear matrix inequalities (LMIs). The paper concludes with a demonstration of the proposed approach on model reduction of a nonlinear electronic circuit with additive disturbances.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
N’Doye I, Laleg-Kirati T-M (2017) Model reduction of nonlinear systems subject to input disturbances. 2017 American Control Conference (ACC). Available: http://dx.doi.org/10.23919/ACC.2017.7963486.
Publisher:
IEEE
Journal:
2017 American Control Conference (ACC)
Conference/Event name:
2017 American Control Conference, ACC 2017
Issue Date:
10-Jul-2017
DOI:
10.23919/ACC.2017.7963486
Type:
Conference Paper
Sponsors:
The research reported herein is supported by the King Abdullah University of Science and Technology (KAUST). The authors would like to thank Prof. Salim Ibrir from King Fahd University of Petroleum and Minerals (KFUPM) for most fruitful discussions that substantially improved the paper.
Additional Links:
http://ieeexplore.ieee.org/document/7963486/
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorNdoye, Ibrahimaen
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2017-10-03T12:49:33Z-
dc.date.available2017-10-03T12:49:33Z-
dc.date.issued2017-07-10en
dc.identifier.citationN’Doye I, Laleg-Kirati T-M (2017) Model reduction of nonlinear systems subject to input disturbances. 2017 American Control Conference (ACC). Available: http://dx.doi.org/10.23919/ACC.2017.7963486.en
dc.identifier.doi10.23919/ACC.2017.7963486en
dc.identifier.urihttp://hdl.handle.net/10754/625676-
dc.description.abstractThe method of convex optimization is used as a tool for model reduction of a class of nonlinear systems in the presence of disturbances. It is shown that under some conditions the nonlinear disturbed system can be approximated by a reduced order nonlinear system with similar disturbance-output properties to the original plant. The proposed model reduction strategy preserves the nonlinearity and the input disturbance nature of the model. It guarantees a sufficiently small error between the outputs of the original and the reduced-order systems, and also maintains the properties of input-to-state stability. The matrices of the reduced order system are given in terms of a set of linear matrix inequalities (LMIs). The paper concludes with a demonstration of the proposed approach on model reduction of a nonlinear electronic circuit with additive disturbances.en
dc.description.sponsorshipThe research reported herein is supported by the King Abdullah University of Science and Technology (KAUST). The authors would like to thank Prof. Salim Ibrir from King Fahd University of Petroleum and Minerals (KFUPM) for most fruitful discussions that substantially improved the paper.en
dc.publisherIEEEen
dc.relation.urlhttp://ieeexplore.ieee.org/document/7963486/en
dc.subjectCircuit stabilityen
dc.subjectConvex functionsen
dc.subjectLinear systemsen
dc.subjectNonlinear systemsen
dc.subjectReduced order systemsen
dc.subjectStability criteriaen
dc.titleModel reduction of nonlinear systems subject to input disturbancesen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2017 American Control Conference (ACC)en
dc.conference.date2017-05-24 to 2017-05-26en
dc.conference.name2017 American Control Conference, ACC 2017en
dc.conference.locationSeattle, WA, USAen
kaust.authorNdoye, Ibrahimaen
kaust.authorLaleg-Kirati, Taous-Meriemen
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