IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i19p3449-d922090.html
   My bibliography  Save this article

Sampling Rate Optimization and Execution Time Analysis for Two-Degrees-of-Freedom Control Systems

Author

Listed:
  • Mircea Şuşcă

    (Department of Automation, Technical University of Cluj-Napoca, Str. G. Bariţiu nr. 26-28, 400027 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Vlad Mihaly

    (Department of Automation, Technical University of Cluj-Napoca, Str. G. Bariţiu nr. 26-28, 400027 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Dora Morar

    (Department of Automation, Technical University of Cluj-Napoca, Str. G. Bariţiu nr. 26-28, 400027 Cluj-Napoca, Romania)

  • Petru Dobra

    (Department of Automation, Technical University of Cluj-Napoca, Str. G. Bariţiu nr. 26-28, 400027 Cluj-Napoca, Romania)

Abstract

The current journal paper proposes an end-to-end analysis for the numerical implementation of a two-degrees-of-freedom (2DOF) control structure, starting from the sampling rate selection mechanism via a quasi-optimal manner, along with the estimation of the worst-case execution time (WCET) for the specified controller. For the sampling rate selection, the classical Shannon–Nyquist sampling theorem is replaced by an optimization problem that encompasses the trade-off between the fidelity of the controllers’ representation, along with the fidelity of the resulting closed-loop systems, and the implementation difficulty of the controllers. Additionally, the WCET analysis can be seen as a verification step before automatic code generation, a computational model being provided. The proposed computational model encompasses infinite-impulse response (IIR) and finite-impulse response (FIR) filter models for the controller implementation, along with additional relevant phenomena being discussed, such as saturation, signal scaling and anti-windup techniques. All proposed results will be illustrated on a DC motor benchmark control problem.

Suggested Citation

  • Mircea Şuşcă & Vlad Mihaly & Dora Morar & Petru Dobra, 2022. "Sampling Rate Optimization and Execution Time Analysis for Two-Degrees-of-Freedom Control Systems," Mathematics, MDPI, vol. 10(19), pages 1-26, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3449-:d:922090
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/19/3449/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/19/3449/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Vlad Mihaly & Mircea Şuşcă & Dora Morar & Mihai Stănese & Petru Dobra, 2021. "μ -Synthesis for Fractional-Order Robust Controllers," Mathematics, MDPI, vol. 9(8), pages 1-21, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Paolo Mercorelli, 2022. "Robust Control as a Mathematical Paradigm for Innovative Engineering Applications," Mathematics, MDPI, vol. 10(23), pages 1-4, November.

    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:10:y:2022:i:19:p:3449-:d:922090. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.