LPV Modeling of Nonlinear Systems: A ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
LPV Modeling of Nonlinear Systems: A Multi-Path Feedback Linearization Approach
Author(s) :
Abbas, Hossam [Auteur]
Tóth, Roland [Auteur]
Petreczky, Mihály [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Meskin, Nader [Auteur]
Velni, Javad Mohammadpour [Auteur]
Koelewijn, Patrick J. W. [Auteur]
Tóth, Roland [Auteur]
Petreczky, Mihály [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Meskin, Nader [Auteur]
Velni, Javad Mohammadpour [Auteur]
Koelewijn, Patrick J. W. [Auteur]
Journal title :
International Journal of Robust and Nonlinear Control
Publisher :
Wiley
Publication date :
2021
ISSN :
1049-8923
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
This paper 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 ...
Show more >This paper 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.Show less >
Show more >This paper 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.Show less >
Language :
Anglais
Popular science :
Non
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