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A Novel Toolbox for Automatic Design of Fractional Order PI Controllers Based on Automatic System Identification from Step Response Data

Author

Listed:
  • Cristina I. Muresan

    (Automation Department, Technical University of Cluj-Napoca, Str. Memorandumului No. 28, 400114 Cluj-Napoca, Romania)

  • Iulia Bunescu

    (Automation Department, Technical University of Cluj-Napoca, Str. Memorandumului No. 28, 400114 Cluj-Napoca, Romania)

  • Isabela Birs

    (Automation Department, Technical University of Cluj-Napoca, Str. Memorandumului No. 28, 400114 Cluj-Napoca, Romania
    DySC Research Group on Dynamical Systems and Control, Ghent University, Technologiepark 125, B-9052 Ghent, Belgium
    Flanders Make Consortium, EEDT Group, B-9052 Ghent, Belgium)

  • Robin De Keyser

    (DySC Research Group on Dynamical Systems and Control, Ghent University, Technologiepark 125, B-9052 Ghent, Belgium
    Flanders Make Consortium, EEDT Group, B-9052 Ghent, Belgium)

Abstract

This paper describes a novel automatic control toolbox, designed for non-experienced practitioners. Fractional order (FO) controllers are easily tuned with the main purpose of easy practical implementation. Experimental step data are required for the automatic FO controller tuning. An embedded system identification algorithm uses the step data to obtain a process model as a second order plus dead-time (SOPDT) system. Finally, the FO controller is computed based on the previously estimated SOPDT model in order to fulfil a set of user-imposed frequency domain performance specifications: phase margin, gain crossover frequency and gain margin maximization. Experimental step response data from a strongly nonlinear vertical take-off and landing unit have been used to design an FO controller using the toolbox. The experimental closed loop results validate the proposed toolbox. The end result is a user-friendly automatic fractional order controller tuning with endless possibilities of real-world applicability.

Suggested Citation

  • Cristina I. Muresan & Iulia Bunescu & Isabela Birs & Robin De Keyser, 2023. "A Novel Toolbox for Automatic Design of Fractional Order PI Controllers Based on Automatic System Identification from Step Response Data," Mathematics, MDPI, vol. 11(5), pages 1-17, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1097-:d:1077074
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    References listed on IDEAS

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    1. Santiago Garrido & Concepción A. Monje & Fernando Martín & Luis Moreno, 2020. "Design of Fractional Order Controllers Using the PM Diagram," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
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