Robust Tilt-Integral-Derivative Controllers for Fractional-Order Interval Systems-Reference-Cited by-同舟云学术

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

Published:2023-06-19 Issue:12 Volume:11 Page:2763
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Malik Muhammad Zeeshan¹,Zhang Shiqing¹,Chen Guang¹,Alghaythi Mamdouh L.²^ORCID

Affiliation:

1. School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, China

2. 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.

Funder

Deputyship for Research Innovation, Ministry of Education in Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/12/2763/pdf

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