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International journal of robust and nonlinear control. 2021 Dec;31(18):9436-9465. doi: 10.1002/rnc.5799 Q23.22024

LPV modeling of nonlinear systems: A multi-path feedback linearization approach

非线性系统的LPV建模:多路径反馈线性化方法 翻译改进

Hossam S Abbas  1  2, Roland Tóth  3  4, Mihály Petreczky  5, Nader Meskin  6, Javad Mohammadpour Velni  7, Patrick J W Koelewijn  3

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作者单位

  • 1 Institute for Electrical Engineering in Medicine University of Lübeck Lübeck Germany.
  • 2 Electrical Engineering Department, Faculty of Engineering Assiut University Assiut Egypt.
  • 3 Control Systems Group, Department of Electrical Engineering Eindhoven University of Technology Eindhoven The Netherlands.
  • 4 Systems and Control Laboratory Institute for Computer Science and Control Budapest Hungary.
  • 5 Centre de Recherche en Informatique, Signal et Automatique de Lille Villeneuve-d'Ascq France.
  • 6 Department of Electrical Engineering, College of Engineering Qatar University Doha Qatar.
  • 7 School of Electrical and Computer Engineering University of Georgia Athens Georgia USA.
  • DOI: 10.1002/rnc.5799 PMID: 35873093

    摘要 Ai翻译

    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.

    Keywords: behavioral approach; dynamic dependence; equivalence transformation; linear parameter‐varying systems.

    Keywords:LPV modeling; nonlinear systems; feedback linearization

    Copyright © International journal of robust and nonlinear control. 中文内容为AI机器翻译,仅供参考!

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    期刊名:International journal of robust and nonlinear control

    缩写:INT J ROBUST NONLIN

    ISSN:1049-8923

    e-ISSN:1099-1239

    IF/分区:3.2/Q2

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    LPV modeling of nonlinear systems: A multi-path feedback linearization approach