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

Muhammad Zeeshan Malik; Shiqing Zhang; Guang Chen; Mamdouh L. Alghaythi

doi:10.3390/math11122763

Mathematics (Jun 2023)

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

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

Affiliations

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

DOI: https://doi.org/10.3390/math11122763
Journal volume & issue: Vol. 11, no. 12
p. 2763

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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