IDEAS home Printed from https://ideas.repec.org/a/spr/ijsaem/v14y2023i5d10.1007_s13198-023-01971-8.html
   My bibliography  Save this article

Design of FOPID controller for higher order MIMO systems using model order reduction

Author

Listed:
  • RamaKoteswara Rao Alla

    (R.V.R. and J.C. College of Engineering)

  • Kandipati Rajani

    (Vignan’s Lara Institute of Technology and Sciences)

  • Ravindranath Tagore Yadlapalli

    (R.V.R. and J.C. College of Engineering)

Abstract

Designing a controller for higher-order system is tough, as the system order grows, mathematical analysis gets more complicated and time-consuming. As a result, it is preferable to reduce higher-order systems to lower-order systems. A new stability preserving order reduction approach is proposed in this paper for the reduction of higher order multi input multi output (MIMO) continuous time systems. With the help of bilinear transformation technique, the proposed method becomes more flexible compared to available conventional methods. It is a one to one transformation from s-domain to z-domain and vice-versa. This method is free of aliasing effect. This method always generates stable reduced order models for stable high order systems which can be used for the stability analysis and design of high order MIMO continuous time systems. The method is extended for the design of proportional integral derivative (PID), fractional order PID (FOPID) controllers tuned by Genetic Algorithm (GA). From the results, it can be observed that GA tuned FOPID gives less settling time than the GA tuned PID and auto tuned PID.

Suggested Citation

  • RamaKoteswara Rao Alla & Kandipati Rajani & Ravindranath Tagore Yadlapalli, 2023. "Design of FOPID controller for higher order MIMO systems using model order reduction," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(5), pages 1660-1670, October.
    • Handle: RePEc:spr:ijsaem:v:14:y:2023:i:5:d:10.1007_s13198-023-01971-8
    DOI: 10.1007/s13198-023-01971-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13198-023-01971-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13198-023-01971-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mihailo Micev & Martin Ćalasan & Diego Oliva, 2020. "Fractional Order PID Controller Design for an AVR System Using Chaotic Yellow Saddle Goatfish Algorithm," Mathematics, MDPI, vol. 8(7), pages 1-22, July.
    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. Emad A. Mohamed & Mokhtar Aly & Masayuki Watanabe, 2022. "New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power Grids," Mathematics, MDPI, vol. 10(16), pages 1-33, August.
    2. Mokhtar Aly & Emad A. Mohamed & Abdullah M. Noman & Emad M. Ahmed & Fayez F. M. El-Sousy & Masayuki Watanabe, 2023. "Optimized Non-Integer Load Frequency Control Scheme for Interconnected Microgrids in Remote Areas with High Renewable Energy and Electric Vehicle Penetrations," Mathematics, MDPI, vol. 11(9), pages 1-31, April.
    3. Abdelhakim Idir & Laurent Canale & Yassine Bensafia & Khatir Khettab, 2022. "Design and Robust Performance Analysis of Low-Order Approximation of Fractional PID Controller Based on an IABC Algorithm for an Automatic Voltage Regulator System," Energies, MDPI, vol. 15(23), pages 1-20, November.
    4. Othman A. M. Omar & Mostafa I. Marei & Mahmoud A. Attia, 2023. "Comparative Study of AVR Control Systems Considering a Novel Optimized PID-Based Model Reference Fractional Adaptive Controller," Energies, MDPI, vol. 16(2), pages 1-19, January.
    5. Omer Saleem & Faisal Abbas & Jamshed Iqbal, 2023. "Complex Fractional-Order LQIR for Inverted-Pendulum-Type Robotic Mechanisms: Design and Experimental Validation," Mathematics, MDPI, vol. 11(4), pages 1-21, February.
    6. Abdulsamed Tabak, 2023. "Novel TI λ DND 2 N 2 Controller Application with Equilibrium Optimizer for Automatic Voltage Regulator," Sustainability, MDPI, vol. 15(15), pages 1-16, July.
    7. Hady H. Fayek & Eugen Rusu, 2022. "Novel Combined Load Frequency Control and Automatic Voltage Regulation of a 100% Sustainable Energy Interconnected Microgrids," Sustainability, MDPI, vol. 14(15), pages 1-16, 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:spr:ijsaem:v:14:y:2023:i:5:d:10.1007_s13198-023-01971-8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.