LPV Modeling of Nonlinear Systems: A Multi-Path Feedback Linearization Approach

Abbas, Hossam; Tóth, Roland; Petreczky, Mihály; Meskin, Nader; Velni, Javad Mohammadpour; Koelewijn, Patrick J. W.

Document type :

Article dans une revue scientifique

Permalink :

http://hdl.handle.net/20.500.12210/56831

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]

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 >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

Submission date :

2021-11-13T02:16:54Z

Files

https://hal.archives-ouvertes.fr/hal-03334010/document
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http://arxiv.org/pdf/2103.14622
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