A robust fractional-order controller design with gain and phase margin specifications based on delayed Bode's ideal transfer function

E Yumuk, M Güzelkaya, İ Eksin - Journal of the Franklin Institute, 2022 - Elsevier
In this study, a robust fractional-order controller design methodology for a type of fractional-
order or integer-order model with dead time is proposed using phase and gain margin …

Time domain solution analysis and novel admissibility conditions of singular fractional-order systems

QH Zhang, JG Lu, YD Ma… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This paper investigates the regularity, nonimpulsiveness, stability and admissibility of the
singular fractional-order systems with the fractional-order α∈(0, 1). Firstly, the structure …

Robust FOPID controller design for fractional‐order delay systems using positive stability region analysis

S Zhang, L Liu, X Cui - … Journal of Robust and Nonlinear Control, 2019 - Wiley Online Library
In this paper, a robust fractional‐order PID (FOPID) controller design method for fractional‐
order delay systems is proposed based on positive stability region (PSR) analysis. Firstly …

Robust FOPID stabilization of retarded type fractional order plants with interval uncertainties and interval time delay

M Ghorbani, M Tavakoli-Kakhki, AA Estarami - Journal of the Franklin …, 2019 - Elsevier
This study investigates the robust stability of the retarded type of interval fractional order
plants with an interval time delay. To this end, the characteristic quasi-polynomial is divided …

Robust stability analysis of fractional‐order interval systems with multiple time delays

R Mohsenipour… - International Journal of …, 2019 - Wiley Online Library
This paper investigates the robust stability analysis of fractional‐order interval systems with
multiple time delays, including retarded and neutral systems. A bound on the poles of …

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

M Asadi, A Farnam, H Nazifi, S Roozbehani… - Mathematics, 2022 - mdpi.com
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 …

Robust D-stability test of LTI general fractional order control systems

R Mohsenipour, X Liu - IEEE/CAA Journal of Automatica Sinica, 2020 - ieeexplore.ieee.org
This work deals with the robust D-stability test of linear time-invariant (LTI) general fractional
order control systems in a closed loop where the system and/or the controller may be of …

Robust Stability and Control of Fractional Polynomials Including Integer and Fractional Natural Exponential Functions

R Mohsenipour, D Massicotte - IEEE Transactions on Systems …, 2023 - ieeexplore.ieee.org
This article focuses on the stability of uncertain fractional order (FO) polynomials involving
integer and FO natural exponential functions. These functions arise from the flexibility …

[图书][B] Fault-tolerant Control and Diagnosis for Integer and Fractional-order Systems: Fundamentals of Fractional Calculus and Differential Algebra with Real-Time …

This book is about algebraic and differential methods, as well as fractional calculus, applied
to diagnose and reject faults in nonlinear systems, which are of integer or fractional order …

Analytical method on stabilisation of fractional-order plants with interval uncertainties using fractional-order PIλ Dμ controllers

Z Gao - International Journal of Systems Science, 2019 - Taylor & Francis
This paper proposes an analytical criterion to determine the stabilisation of a fractional-order
plant with interval uncertainties in the coefficients using the fractional-order PI λ D μ …