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State and Control Input Limitations in Sliding Mode Control with System Uncertainties

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Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020 (ICSEng 2020)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 182))

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Abstract

This paper presents the approach that limits the state variables and the control input in the sliding mode technique. The plant dynamics is perturbed by both external disturbances and the system’s uncertainties. Nevertheless, the convergence rate is designed in such a way to ensure the swiftest, monotonic convergence of the sliding variable to zero, in the same time, keeping the required constraints. The variable structure controller is designed using the reaching law technique and switching hyperplane definition.

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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. Department of Electrical and Computer Engineering, University of Nevada Las Vegas, Las Vegas, NV, USA

    Henry Selvaraj

  2. Department of Electrical and Computer Engineering, University of Nevada Las Vegas, Las Vegas, NV, USA

    Grzegorz Chmaj

  3. Department of Electrical and Computer Engineering, University of Nevada Las Vegas, Las Vegas, NV, USA

    Dawid Zydek

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Jaskuła, M., Leśniewski, P. (2021). State and Control Input Limitations in Sliding Mode Control with System Uncertainties. In: Selvaraj, H., Chmaj, G., Zydek, D. (eds) Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020. ICSEng 2020. Lecture Notes in Networks and Systems, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-030-65796-3_6

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