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Sliding Mode Inventory Control with a Pregenerated Reference Trajectory Profile

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Automation 2024: Advances in Automation, Robotics and Measurement Techniques (AUTOMATION 2024)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 1219))

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Abstract

This study tackles the problem of discrete time sliding mode control design for inventory management systems and proposes a new concept of demand structure and control. The paper considers a single product multi supplier inventory system. It is assumed that the demand divides into two sections: the unknown but bounded random demand and an a priori known contractual component. Therefore, it is proposed to firstly take into account the contractual demand only and generate the desired trajectory profile. In other words, the strategy aims to shape the chain of supplies according to the a priori known demand term. Next, the obtained trajectory profile is applied as a reference in the sliding mode control scheme, where an additional compensation of the random sales is introduced. This concept guarantees satisfaction of both contractual and random demand within their bound at any time instant. Moreover, the proposed strategy greatly simplifies the control design process.

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Authors and Affiliations

  1. Institute of Automatic Control, Łódź University of Technology, 18 Stefanowskiego St., 90-537, Łódź, Poland

    Katarzyna Adamiak & Tymoteusz Zwierzchowski

Authors
  1. Katarzyna Adamiak
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  2. Tymoteusz Zwierzchowski
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Corresponding author

Correspondence to Katarzyna Adamiak .

Editor information

Editors and Affiliations

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

    Roman Szewczyk

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

    Cezary Zieliński

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

    Małgorzata Kaliczyńska

  4. Department of Mechatronics, Robotics and Digital Manufacturing, Faculty of Mechanics, Vilnius, Lithuania

    Vytautas Bučinskas

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Adamiak, K., Zwierzchowski, T. (2024). Sliding Mode Inventory Control with a Pregenerated Reference Trajectory Profile. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M., Bučinskas, V. (eds) Automation 2024: Advances in Automation, Robotics and Measurement Techniques. AUTOMATION 2024. Lecture Notes in Networks and Systems, vol 1219. Springer, Cham. https://doi.org/10.1007/978-3-031-78266-4_10

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