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Application of the Reference Sliding Variable Profile as an Extension of the Time-Varying Sliding Surface QSM Control

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Automation 2021: Recent Achievements in Automation, Robotics and Measurement Techniques (AUTOMATION 2021)

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Abstract

For the last decades the sliding mode control has been considered as one of the most promising continuous-time control methods. The idea assumes switching the structure of the controller, so that the representative point of the system approaches and remains on a predesigned sliding surface. Consequently, in the sliding phase the system becomes insensitive to any external disturbances and model uncertainties. To benefit from these features in the reaching phase as well, time-varying sliding surfaces may be applied. Unique properties of the sliding mode control, have also been widely adapted for discretized systems. However, as in the discrete-time only the quasi-sliding mode exists, the time-varying sliding surfaces have not been popularized for this case. For the quasi-sliding mode design, the reaching law approach has gathered more followers. This paper combines those two control design methods and presents the application of the reference sliding variable profile as an extension of the time-varying sliding surface idea for discrete-time sliding mode control. The study proves, that the application of the time-varying sliding surface guarantees robustness to external disturbances and modelling uncertainties through the whole regulation process.

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Authors and Affiliations

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

    Katarzyna Adamiak

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  1. Katarzyna Adamiak
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Correspondence to Katarzyna Adamiak .

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Editors and Affiliations

  1. ŁUKASIEWICZ Research Network, Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Roman Szewczyk

  2. ŁUKASIEWICZ Research Network, Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Cezary Zieliński

  3. ŁUKASIEWICZ Research Network, Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Małgorzata Kaliczyńska

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Adamiak, K. (2021). Application of the Reference Sliding Variable Profile as an Extension of the Time-Varying Sliding Surface QSM Control. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2021: Recent Achievements in Automation, Robotics and Measurement Techniques. AUTOMATION 2021. Advances in Intelligent Systems and Computing, vol 1390. Springer, Cham. https://doi.org/10.1007/978-3-030-74893-7_4

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