IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i12p2651-d1168242.html
   My bibliography  Save this article

Experimental Validation of Fractional PID Controllers Applied to a Two-Tank System

Author

Listed:
  • Felipe de J. Sorcia-Vázquez

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Jesse Y. Rumbo-Morales

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Jorge A. Brizuela-Mendoza

    (Exact Sciences and Methodologies Department, University of Guadalajara, Ciudad Guzmán 49000, Mexico)

  • Gerardo Ortiz-Torres

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Estela Sarmiento-Bustos

    (Academic Division of Industrial Mechanics, Emiliano Zapata Technological University of the State of Morelos, Emiliano Zapata 62760, Mexico)

  • Alan F. Pérez-Vidal

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Erasmo M. Rentería-Vargas

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Miguel De-la-Torre

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • René Osorio-Sánchez

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

Abstract

An experimental validation of fractional-order PID (FOPID) controllers, which were applied to a two coupled tanks system, is presented in this article. Two FOPID controllers, a continuous FOPID (cFOPID) and a discrete FOPID (dFOPID), were implemented in real-time. The gains tuning process was accomplished by applying genetic algorithms while considering the cost function with respect to the tracking error and control effort. The gains optimization process was performed directly to the two-tanks non-linear model. The real-time implementation used a National Instruments PCIe-6321 card as a data acquisition system; for the interface, we used a Simulink Matlab and Simulink Desktop Real-Time Toolbox. The performance of the fractional controllers was compared with the performance of classical PID controllers.

Suggested Citation

  • Felipe de J. Sorcia-Vázquez & Jesse Y. Rumbo-Morales & Jorge A. Brizuela-Mendoza & Gerardo Ortiz-Torres & Estela Sarmiento-Bustos & Alan F. Pérez-Vidal & Erasmo M. Rentería-Vargas & Miguel De-la-Torre, 2023. "Experimental Validation of Fractional PID Controllers Applied to a Two-Tank System," Mathematics, MDPI, vol. 11(12), pages 1-17, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2651-:d:1168242
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/12/2651/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/12/2651/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mahdi Saadatmand & Gevork B. Gharehpetian & Innocent Kamwa & Pierluigi Siano & Josep M. Guerrero & Hassan Haes Alhelou, 2021. "A Survey on FOPID Controllers for LFO Damping in Power Systems Using Synchronous Generators, FACTS Devices and Inverter-Based Power Plants," Energies, MDPI, vol. 14(18), pages 1-26, September.
    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. Tawfik Guesmi & Badr M. Alshammari & Yosra Welhazi & Hsan Hadj Abdallah & Ahmed Toumi, 2022. "Robust Fuzzy Control for Uncertain Nonlinear Power Systems," Mathematics, MDPI, vol. 10(9), pages 1-26, April.
    2. Nikolay Nikolaev & Kiril Dimitrov & Yulian Rangelov, 2021. "A Comprehensive Review of Small-Signal Stability and Power Oscillation Damping through Photovoltaic Inverters," Energies, MDPI, vol. 14(21), pages 1-26, November.
    3. Mahmoud Aref & Almoataz Y. Abdelaziz & Zong Woo Geem & Junhee Hong & Farag K. Abo-Elyousr, 2023. "Oscillation Damping Neuro-Based Controllers Augmented Solar Energy Penetration Management of Power System Stability," Energies, MDPI, vol. 16(5), pages 1-21, March.

    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:11:y:2023:i:12:p:2651-:d:1168242. 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.