IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i6p1325-d331753.html
   My bibliography  Save this article

Designs of Feedback Controllers for Fluid Flows Based On Model Predictive Control and Regression Analysis

Author

Listed:
  • Yasuo Sasaki

    (Department of Aerospace Engineering, Graduate School of Engineering, Nagoya University, Nagoya, Aichi 464-8603, Japan)

  • Daisuke Tsubakino

    (Department of Aerospace Engineering, Graduate School of Engineering, Nagoya University, Nagoya, Aichi 464-8603, Japan)

Abstract

Complexity of online computation is a drawback of model predictive control (MPC) when applied to the Navier–Stokes equations. To reduce the computational complexity, we propose a method to approximate the MPC with an explicit control law by using regression analysis. In this paper, we extracted two state-feedback control laws and two output-feedback control laws for flow around a cylinder as a benchmark. The state-feedback control laws that feed back different quantities to each other were extracted by ridge regression, and the two output-feedback control laws, whose measurement output is the surface pressure, were extracted by ridge regression and Gaussian process regression. In numerical simulations, the state-feedback control laws were able to suppress vortex shedding almost completely. While the output-feedback control laws could not suppress vortex shedding completely, they moderately improved the drag of the cylinder. Moreover, we confirmed that these control laws have some degree of robustness to the change in the Reynolds number. The computation times of the control input in all the extracted control laws were considerably shorter than that of the MPC.

Suggested Citation

  • Yasuo Sasaki & Daisuke Tsubakino, 2020. "Designs of Feedback Controllers for Fluid Flows Based On Model Predictive Control and Regression Analysis," Energies, MDPI, vol. 13(6), pages 1-24, March.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:6:p:1325-:d:331753
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/6/1325/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/13/6/1325/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kyunghwan Choi & Dong Soo Kim & Seok-Kyoon Kim, 2020. "Disturbance Observer-Based Offset-Free Global Tracking Control for Input-Constrained LTI Systems with DC/DC Buck Converter Applications," Energies, MDPI, vol. 13(16), pages 1-18, August.

    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:jeners:v:13:y:2020:i:6:p:1325-:d:331753. 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.