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Constraining State Variables in Continuous Time Sliding Mode Control

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Advanced, Contemporary Control

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1196))

Abstract

In this paper the continuous-time system of arbitrary order was taken into consideration. The sliding mode controller was computed using the reaching law approach. The time-varying convergence rate of the sliding variable was designed in such a manner to fulfill the control signal and state variables constraints for the whole regulation time. The sufficient condition guaranteeing the fastest, finite-time, monotonic convergence of the representative point to the predefined switching hyperplane in the presence of given limitations was stated and formally proved.

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Author information

Authors and Affiliations

  1. Institute of Automatic Control, Łodź University of Technology, 18/22 Stefanowskiego Street, 90-924, Łodź, Poland

    Marek Jaskuła & Piotr Leśniewski

Authors
  1. Marek Jaskuła
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  2. Piotr Leśniewski
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Corresponding author

Correspondence to Marek Jaskuła .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Andrzej Bartoszewicz

  2. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Jacek Kabziński

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Jaskuła, M., Leśniewski, P. (2020). Constraining State Variables in Continuous Time Sliding Mode Control. In: Bartoszewicz, A., Kabziński, J., Kacprzyk, J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing, vol 1196. Springer, Cham. https://doi.org/10.1007/978-3-030-50936-1_9

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