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An extension of the structured singular value to nonlinear systems with application to robust flutter analysis

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dc.affiliation.dptoUC3M. Departamento de Ingeniería Aeroespaciales
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Equipo de Propulsión Espacial y Plasmas (EP2)es
dc.contributor.authorIannelli, Andrea
dc.contributor.authorLowenberg, Mark
dc.contributor.authorMarcos Esteban, Andrés
dc.contributor.funderEuropean Commissionen
dc.date.accessioned2022-07-19T10:53:17Z
dc.date.available2022-07-19T10:53:17Z
dc.date.issued2020-09-09
dc.description.abstractThe paper discusses an extension of μ (or structured singular value), a well-established technique from robust control for the study of linear systems subject to structured uncertainty, to nonlinear polynomial problems. Robustness is a multifaceted concept in the nonlinear context, and in this work the point of view of bifurcation theory is assumed. The latter is concerned with the study of qualitative changes of the steady-state solutions of a nonlinear system, so-called bifurcations. The practical goal motivating the work is to assess the effect of modeling uncertainties on flutter, a dynamic instability prompted by an adverse coupling between aerodynamic, elastic, and inertial forces, when considering the system as nonlinear. Specifically, the onset of flutter in nonlinear systems is generally associated with limit cycle oscillations emanating from a Hopf bifurcation point. Leveraging μ and its complementary modeling paradigm, namely linear fractional transformation, this work proposes an approach to compute margins to the occurrence of Hopf bifurcations for uncertain nonlinear systems. An application to the typical section case study with linear unsteady aerodynamic and hardening nonlinearities in the structural parameters will be presented to demonstrate the applicability of the approach.en
dc.description.sponsorshipThis work has received funding from the European Union’s Horizon 2020 research and innovation programme under Grant agreement no. 636307, project FLEXOP. Open access funding provided by Swiss Federal Institute of Technology Zurich.en
dc.format.extent12
dc.identifier.bibliographicCitationIannelli, A., Lowenberg, M., & Marcos, A. (2020). An extension of the structured singular value to nonlinear systems with application to robust flutter analysis. In CEAS Aeronautical Journal, 11(4), 1057–1069en
dc.identifier.doihttps://doi.org/10.1007/s13272-020-00469-4
dc.identifier.issn1869-5582
dc.identifier.publicationfirstpage1057
dc.identifier.publicationissue4
dc.identifier.publicationlastpage1069
dc.identifier.publicationtitleCEAS Aeronautical Journal (CEAS Aeronautical Journal)en
dc.identifier.publicationvolume11
dc.identifier.urihttps://hdl.handle.net/10016/35493
dc.identifier.uxxiAR/0000028014
dc.language.isoengen
dc.publisherSpringer Science and Business Media LLCen
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/636307en
dc.rights© The Author(s) 2020en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaAeronáuticaes
dc.subject.otherBifurcationen
dc.subject.otherRobust controlen
dc.subject.otherFlutteren
dc.subject.otherModeling uncertaintiesen
dc.titleAn extension of the structured singular value to nonlinear systems with application to robust flutter analysisen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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