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Recent Advances in Intelligent Engineering pp 1–19Cite as

State and Loop Equivalence for Linear Parameter Varying Systems

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Part of the book series: Topics in Intelligent Engineering and Informatics ((TIEI,volume 14))

Abstract

In the last decades the LPV modelling paradigm grew up from the desire of having a gain scheduling method with guaranteed stability and performance bound by using as much as possible from the classical design techniques. LPV design becomes a proven method of the field of robust control through a series of applications. While system equivalence, state transformation and loop transformation are fundamental concepts and efficient tools of the linear time invariant (LTI) theory, in the context of the LPV framework some basic modelling issues still evades the attention of the researchers. The main goal of the paper is to provide an initialization in LPV modelling and to review the fundamental concepts in order to eliminate the possible pitfalls that often occur in the related literature. The work provides an opportunity for pointing out some research topics that might be interesting for a much larger audience, too.

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Acknowledgements

This work has been supported by the GINOP-2.3.2-15-2016-00002 grant of the Ministry of National Economy of Hungary and by the European Commission through the H2020 project EPIC under grant No. 739592.

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Authors and Affiliations

  1. Institute for Computer Science and Control, Hungarian Academy of Sciences, Kende u. 13-17, Budapest, Hungary

    József Bokor & Zoltán Szabó

Authors
  1. József Bokor
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  2. Zoltán Szabó
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Correspondence to Zoltán Szabó .

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Editors and Affiliations

  1. Obuda University, Budapest, Hungary

    Levente Kovács

  2. Óbuda University, Budapest, Hungary

    Tamás Haidegger

  3. Óbuda University, Budapest, Hungary

    Anikó Szakál

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Bokor, J., Szabó, Z. (2020). State and Loop Equivalence for Linear Parameter Varying Systems. In: Kovács, L., Haidegger, T., Szakál, A. (eds) Recent Advances in Intelligent Engineering. Topics in Intelligent Engineering and Informatics, vol 14. Springer, Cham. https://doi.org/10.1007/978-3-030-14350-3_1

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