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CSOC 2016: Automation Control Theory Perspectives in Intelligent Systems pp 53–62Cite as

Multivariable Gain Scheduled Control of Four Tanks System: Single Scheduling Variable Approach

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 466))

Abstract

Motivated by the special class of nonlinear systems, we introduce a scheduling technique that aims at extending the region of validity of linearization by designing an extra scheduling mechanism. Specifically, we show, how a simplification of a control problem may results in a considerably difficult scheduling procedure. In particular, the scheduling problem in the context of a nonlinear model of four tanks is addressed. The main innovation consists in the use of auxiliary scheduling variables dealing with the problem of limited number of output variables. This allows to construct a linear feedback controller at each operating point. Additionally, an integral control which ensures desired stability and performance requirements is presented. The resulting method has been integrated into the gain scheduled control design of the four tanks system and has shown a great performance through the operating range.

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Acknowledgments

This article was created with support of the Ministry of Education of the Czech Republic under grant IGA reg. n. IGA/FAI/2016/006.

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Authors and Affiliations

  1. Faculty of Applied Informatics, Department of Process Control, Tomas Bata University in Zlin, Zlin, Czech Republic

    Adam Krhovják, Stanislav Talaš & Lukáš Rušar

Authors
  1. Adam Krhovják
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  2. Stanislav Talaš
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  3. Lukáš Rušar
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Corresponding author

Correspondence to Adam Krhovják .

Editor information

Editors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Radek Silhavy

  2. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Roman Senkerik

  3. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Zuzana Kominkova Oplatkova

  4. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Petr Silhavy

  5. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Zdenka Prokopova

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© 2016 Springer International Publishing Switzerland

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Krhovják, A., Talaš, S., Rušar, L. (2016). Multivariable Gain Scheduled Control of Four Tanks System: Single Scheduling Variable Approach. In: Silhavy, R., Senkerik, R., Oplatkova, Z.K., Silhavy, P., Prokopova, Z. (eds) Automation Control Theory Perspectives in Intelligent Systems. CSOC 2016. Advances in Intelligent Systems and Computing, vol 466. Springer, Cham. https://doi.org/10.1007/978-3-319-33389-2_6

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  • DOI: https://doi.org/10.1007/978-3-319-33389-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33387-8

  • Online ISBN: 978-3-319-33389-2

  • eBook Packages: EngineeringEngineering (R0)

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