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AuthorAbbas, Hossam S.
AuthorToth, Roland
AuthorPetreczky, Mihaly
AuthorMeskin, Nader
AuthorMohammadpour, Javad
Available date2016-05-26T12:20:02Z
Publication Date2014
Publication NameIFAC Proceedings Volumes (IFAC-PapersOnline)
CitationAbbas, H.S., Toth, R., Petreczky, M., Meskin, N., Mohammadpour, J. "Embedding of nonlinear systems in a linear parameter-varying representation" (2014) IFAC Proceedings Volumes (IFAC-PapersOnline), 19, pp. 6907-6913.
AbstractThis paper introduces a systematic approach to synthesize linear parameter-varying (LPV) representations of nonlinear (NL) systems which are originally defined by control affine state-space representations. The conversion approach results in LPV state-space representations in the observable canonical form. Based on the relative degree concept of NL systems, the states of a given NL representation are transformed to new coordinates that provide its normal form. In the SISO case, all nonlinearities of the original system are embedded in one NL function which is factorized to construct the LPV form. An algorithms is proposed for this purpose. The resulting transformation yields an LPV model where the scheduling parameter depends on the derivatives of the inputs and outputs of the system. In addition, if the states of the NL model can be measured or estimated, then the procedure can be modified to provide LPV models scheduled by these states. Examples are included for illustration.
SponsorNPRP grant (No. 5-574-2-233) from the Qatar National Research Fund (a member of the Qatar Foundation).
PublisherIFAC Secretariat
SubjectAutomatic control
Subjectdesign methods
TitleEmbedding of nonlinear systems in a linear parameter-varying representation
TypeConference Paper
Issue Number3
Volume Number47

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