LPV modeling of nonlinear systems: A multi-path feedback linearization approach
Author | Abbas, H.S. |
Author | Tcth, R. |
Author | Petreczky, M. |
Author | Meskin, Nader |
Author | Mohammadpour, Velni J. |
Author | Koelewijn, P.J.W. |
Available date | 2022-04-14T08:45:36Z |
Publication Date | 2021 |
Publication Name | International Journal of Robust and Nonlinear Control |
Resource | Scopus |
Identifier | http://dx.doi.org/10.1002/rnc.5799 |
Abstract | This 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. |
Sponsor | National Science Foundation;H2020 European Research Council;Deutsche Forschungsgemeinschaft |
Language | en |
Publisher | John Wiley and Sons Ltd |
Subject | Linear 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 |
Type | Article |
Pagination | 9436-9465 |
Issue Number | 18 |
Volume Number | 31 |
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