Towards industrialization of FOPID controllers: A survey on milestones of fractional-order control and pathways for future developments
The interest in fractional-order (FO) control can be traced back to the late nineteenth century.
The growing tendency towards using fractional-order proportional-integral-derivative …
The growing tendency towards using fractional-order proportional-integral-derivative …
Fractional-order system modeling and its applications
In order to control or operate any system in a closed-loop, it is important to know its behavior
in the form of mathematical models. In the last two decades, a fractional-order model has …
in the form of mathematical models. In the last two decades, a fractional-order model has …
Approximation methods for solving fractional equations
SS Zeid - Chaos, Solitons & Fractals, 2019 - Elsevier
In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …
fractional equations, which are divided into the fractional differential equations (FDEs), time …
A novel approach of fractional-order time delay system modeling based on Haar wavelet
In this paper, fractional-order time delay system modeling is presented using Haar wavelet
operational matrix of integration. Therefore, it does not require any prior knowledge of …
operational matrix of integration. Therefore, it does not require any prior knowledge of …
Multi-objective LQR with optimum weight selection to design FOPID controllers for delayed fractional order processes
An optimal trade-off design for fractional order (FO)-PID controller is proposed with a Linear
Quadratic Regulator (LQR) based technique using two conflicting time domain objectives. A …
Quadratic Regulator (LQR) based technique using two conflicting time domain objectives. A …
Time-domain identification of one noninteger order plus time delay models from step response measurements
Practical performances of controller design methods strongly depend on relevancy of
identified models. Fractional order system models promise advantage of more accurate …
identified models. Fractional order system models promise advantage of more accurate …
Fopi/fopid tuning rule based on a fractional order model for the process
This paper deals with the design of a control system based on fractional order models and
fractional order proportional-integral-derivative (FOPID) controllers and fractional-order …
fractional order proportional-integral-derivative (FOPID) controllers and fractional-order …
Fractional-order identification system based on Sundaresan's technique
MWS Campos, FAC Ayres Jr, IV de Bessa… - Chaos, Solitons & …, 2024 - Elsevier
This paper investigates the Sundaresan technique for modeling fractional order systems.
Sundaresan, Prasad, and Krishnaswamy published this method in 1978 for modeling …
Sundaresan, Prasad, and Krishnaswamy published this method in 1978 for modeling …
PI/PID control design based on a fractional-order model for the process
In this paper we propose a new tuning rule called FOMRoT for integer PID and PI
controllers. Based on a fractional order model, the devised tuning rule aims at providing a …
controllers. Based on a fractional order model, the devised tuning rule aims at providing a …
Improvement of the control system performance based on fractional-order PID controllers and models with robustness considerations
In this paper we assess the performance improvement achievable by using onedegree-of-
freedom fractional-order proportional-integral-derivative controllers (FOPI/FOPID) instead of …
freedom fractional-order proportional-integral-derivative controllers (FOPI/FOPID) instead of …