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Robust Tilt-Integral-Derivative Controllers for Fractional-Order Interval Systems

Author

Listed:
  • Muhammad Zeeshan Malik

    (School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, China)

  • Shiqing Zhang

    (School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, China)

  • Guang Chen

    (School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, China)

  • Mamdouh L. Alghaythi

    (Department of Electrical Engineering, College of Engineering, Jouf University, Sakaka 72388, Saudi Arabia)

Abstract

In this study, an innovative and sophisticated graphical tuning approach is postulated, aimed at the design of tilt-integral-derivative (TID) controllers that are specifically customized for fractional-order interval plants, whose numerators and denominators consist of fractional-order polynomials that are subjected to parametric uncertainties. By leveraging the powerful value set concept and the advanced D-composition technique, a comprehensive set of stabilizing TID controllers is obtained. The validity and effectiveness of the proposed methodology are demonstrated by some examples, which vividly illustrate its remarkable performance and potential.

Suggested Citation

  • Muhammad Zeeshan Malik & Shiqing Zhang & Guang Chen & Mamdouh L. Alghaythi, 2023. "Robust Tilt-Integral-Derivative Controllers for Fractional-Order Interval Systems," Mathematics, MDPI, vol. 11(12), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2763-:d:1174102
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    References listed on IDEAS

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    1. Di, Ying & Zhang, Jin-Xi & Zhang, Xuefeng, 2023. "Robust stabilization of descriptor fractional-order interval systems with uncertain derivative matrices," Applied Mathematics and Computation, Elsevier, vol. 453(C).
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