IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i2p244-d1565966.html
   My bibliography  Save this article

A New Closed-Loop Control Paradigm Based on Process Moments

Author

Listed:
  • Damir Vrančić

    (Jožef Stefan Institute, 1000 Ljubljana, Slovenia
    Faculty of Industrial Engineering, 8000 Novo Mesto, Slovenia)

  • Pavol Bisták

    (Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 84104 Bratislava, Slovakia)

  • Mikuláš Huba

    (Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, 84104 Bratislava, Slovakia)

  • Paulo Moura Oliveira

    (INESC-TEC, Department of Engineering, School of Sciences and Technology, University of Trás-os-Montes and Alto Douro, 5001-911 Vila Real, Portugal)

Abstract

The paper presents a new control concept based on the process moment instead of the process states or the process output signal. The control scheme is based on separate control of reference tracking and disturbance rejection. The tracking control is achieved by additionally feeding the input of the process model by the scaled output signal of the process model. The advantage of such feedback is that the final state of the process output can be analytically calculated and used for control instead of the actual process output value. The disturbance rejection, including model imperfections, is controlled by feeding back the filtered difference between the process output and the model output to the process input. The performance of tracking and disturbance rejection is simply controlled by two user-defined gains. Several examples have shown that the new control method provides very good and stable tracking and disturbance rejection performance.

Suggested Citation

  • Damir Vrančić & Pavol Bisták & Mikuláš Huba & Paulo Moura Oliveira, 2025. "A New Closed-Loop Control Paradigm Based on Process Moments," Mathematics, MDPI, vol. 13(2), pages 1-27, January.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:2:p:244-:d:1565966
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/2/244/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/13/2/244/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:13:y:2025:i:2:p:244-:d:1565966. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.