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AuthorAbbas, H.S.
AuthorTcth, R.
AuthorPetreczky, M.
AuthorMeskin, Nader
AuthorMohammadpour, Velni J.
AuthorKoelewijn, P.J.W.
Available date2022-04-14T08:45:36Z
Publication Date2021
Publication NameInternational Journal of Robust and Nonlinear Control
ResourceScopus
Identifierhttp://dx.doi.org/10.1002/rnc.5799
URIhttp://hdl.handle.net/10576/29743
AbstractThis article introduces a systematic approach to synthesize linear parameter-varying (LPV) representations of nonlinear (NL) systems which are described by input affine state-space (SS) representations. The conversion approach results in LPV-SS representations in the observable canonical form. Based on the relative degree concept, first the SS description of a given NL representation is transformed to a normal form. In the SISO case, all nonlinearities of the original system are embedded into one NL function, which is factorized, based on a proposed algorithm, to construct an LPV representation of the original NL system. The overall procedure yields an LPV model in which the scheduling variable depends on the inputs and outputs of the system and their derivatives, achieving a practically applicable transformation of the model in case of low order derivatives. In addition, if the states of the NL model can be measured or estimated, then a modified procedure is proposed to provide LPV models scheduled by these states. Examples are included to demonstrate both approaches.
SponsorNational Science Foundation;H2020 European Research Council;Deutsche Forschungsgemeinschaft
Languageen
PublisherJohn Wiley and Sons Ltd
SubjectLinear systems
Linear transformations
Behavioural approach
Dynamic dependence
Equivalence transformations
Feedback linearization approaches
International journals
Linear parameter varying
Linear parameter varying models
Linear parameter varying systems
Multipath
State space representation
Feedback linearization
TitleLPV modeling of nonlinear systems: A multi-path feedback linearization approach
TypeArticle
Pagination9436-9465
Issue Number18
Volume Number31
dc.accessType Abstract Only


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