Fractional-order system modeling and its applications

K Kothari, UV Mehta, R Prasad - Journal of Engineering …, 2019 - repository.usp.ac.fj
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 …

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 …

Parameter identification of fractional order systems using block pulse functions

Y Tang, H Liu, W Wang, Q Lian, X Guan - Signal Processing, 2015 - Elsevier
In this paper, a novel method is proposed to identify the parameters of fractional-order
systems. The proposed method converts the fractional differential equation to an algebraic …

Identification of fractional order non–homogeneous Hammerstein-Wiener MISO continuous systems

L Chunlei, W Hongwei, Z Qian, M Ahemaide - Mechanical Systems and …, 2023 - Elsevier
Aiming at the problem of difficult identification of parameters in fractional non-homogeneous
Hammerstein-Wiener nonlinear MISO time-delay continuous systems, an algorithm that can …

Identification of fractional-order systems with time delays using block pulse functions

Y Tang, N Li, M Liu, Y Lu, W Wang - Mechanical Systems and Signal …, 2017 - Elsevier
In this paper, a novel method based on block pulse functions is proposed to identify
continuous-time fractional-order systems with time delays. First, the operational matrices of …

Analytical design of fractional order PID controllers based on the fractional set-point weighted structure: Case study in twin rotor helicopter

R Azarmi, M Tavakoli-Kakhki, AK Sedigh, A Fatehi - Mechatronics, 2015 - Elsevier
In this paper, an analytical method for tuning the parameters of the set-point weighted
fractional order PID (SWFOPID) controller is proposed. The studied control scheme is the …

Design of fractional adaptive strategy for input nonlinear Box–Jenkins systems

NI Chaudhary, MAZ Raja - Signal Processing, 2015 - Elsevier
In this study, the strength of fractional signal processing is exploited in designing fractional
adaptive algorithms for parameter estimation of input nonlinear Box–Jenkins (INBJ) systems …

Modulating function-based system identification for a fractional-order system with a time delay involving measurement noise using least-squares method

Z Gao - International Journal of Systems Science, 2017 - Taylor & Francis
This study proposes an identification algorithm for a time-delay fractional-order system with
the measurement noise via the modulating function approach. The polynomial function is …

[KNIHA][B] Fractional order processes: simulation, identification, and control

SK Damarla, M Kundu - 2018 - taylorfrancis.com
The book presents efficient numerical methods for simulation and analysis of physical
processes exhibiting fractional order (FO) dynamics. The book introduces FO system …

Identification of linear time-varying fractional order systems using block pulse functions based on repetitive principle

B Zhang, Y Tang, Y Lu - ISA transactions, 2022 - Elsevier
A novel method for identifying linear time-varying fractional order systems based on a
repetitive principle is proposed in this study. According to the repetitive principle, the system …