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

Muhammad Zeeshan Malik (), Shiqing Zhang, Guang Chen and Mamdouh L. Alghaythi
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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

Mathematics, 2023, vol. 11, issue 12, 1-14

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.

Keywords: robust fractional-order controllers; interval uncertainties; fractional-order systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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