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Entropy
Volume 24
Issue 10
10.3390/e24101496
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Article

LMI-Based Delayed Output Feedback Controller Design for a Class of Fractional-Order Neutral-Type Delay Systems Using Guaranteed Cost Control Approach

by
Zahra Sadat Aghayan
1,
Alireza Alfi
1 and
António M. Lopes
2,*
1
Faculty of Electrical Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran
2
LAETA/INEGI, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal
*
Author to whom correspondence should be addressed.
Entropy 2022, 24(10), 1496; https://doi.org/10.3390/e24101496
Submission received: 27 August 2022 / Revised: 14 October 2022 / Accepted: 17 October 2022 / Published: 19 October 2022
(This article belongs to the Special Issue Dynamical Systems and Their Applications (DSTA) — In Memory of Prof. Dr. José A. Tenreiro Machado)
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Abstract

In this research work, we deal with the stabilization of uncertain fractional-order neutral systems with delayed input. To tackle this problem, the guaranteed cost control method is considered. The purpose is to design a proportional–differential output feedback controller to obtain a satisfactory performance. The stability of the overall system is described in terms of matrix inequalities, and the corresponding analysis is performed in the perspective of Lyapunov’s theory. Two application examples verify the analytic findings.
Keywords: fractional calculus; stability; neutral system; delay; guaranteed cost control fractional calculus; stability; neutral system; delay; guaranteed cost control

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MDPI and ACS Style

Aghayan, Z.S.; Alfi, A.; Lopes, A.M. LMI-Based Delayed Output Feedback Controller Design for a Class of Fractional-Order Neutral-Type Delay Systems Using Guaranteed Cost Control Approach. Entropy 2022, 24, 1496. https://doi.org/10.3390/e24101496

AMA Style

Aghayan ZS, Alfi A, Lopes AM. LMI-Based Delayed Output Feedback Controller Design for a Class of Fractional-Order Neutral-Type Delay Systems Using Guaranteed Cost Control Approach. Entropy. 2022; 24(10):1496. https://doi.org/10.3390/e24101496

Chicago/Turabian Style

Aghayan, Zahra Sadat, Alireza Alfi, and António M. Lopes. 2022. "LMI-Based Delayed Output Feedback Controller Design for a Class of Fractional-Order Neutral-Type Delay Systems Using Guaranteed Cost Control Approach" Entropy 24, no. 10: 1496. https://doi.org/10.3390/e24101496

APA Style

Aghayan, Z. S., Alfi, A., & Lopes, A. M. (2022). LMI-Based Delayed Output Feedback Controller Design for a Class of Fractional-Order Neutral-Type Delay Systems Using Guaranteed Cost Control Approach. Entropy, 24(10), 1496. https://doi.org/10.3390/e24101496

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