Robust Stability Analysis of Unstable Second Order Plus Time-Delay (SOPTD) Plant by Fractional-Order Proportional Integral (FOPI) Controllers

Marzieh Asadi, Arash Farnam, Hamed Nazifi, Sam Roozbehani and Guillaume Crevecoeur
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Marzieh Asadi: Faculty of Electerical Engineering, K.N. Toosi University of Technology, Tehran 19697, Iran
Arash Farnam: Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Ghent University, 9000 Ghent, Belgium
Hamed Nazifi: Renewable Power Generation Research Group, Khaje Nasir University of Technology Branch, ACECR, Tehran 19697, Iran
Sam Roozbehani: Renewable Power Generation Research Group, Khaje Nasir University of Technology Branch, ACECR, Tehran 19697, Iran
Guillaume Crevecoeur: Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Ghent University, 9000 Ghent, Belgium

Mathematics, 2022, vol. 10, issue 4, 1-10

Abstract: This study investigates the robust stability analysis of an unstable second order plus time-delay (SOPTD) plant by using Fractional-Order Proportional Integral (FOPI) controllers. We assume that there are simultaneous uncertainties in gain, time-constants, and time-delay of the plant. At first, a graphical method is provided for a robust stability analysis of the closed-loop system. Then, a robust stability checking function is introduced to facilitate the robust stability analysis. Additionally, new bounds are presented to reduce the computational burden for the robust stability analysis. Finally, two examples are provided to show the correctness of the proposed method.

Keywords: robust stability analysis; FOPI controllers; unstable SOPTD plants; time-delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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