An efficient algorithm for low-order direct discrete-time implementation of fractional order transfer functions

R De Keyser, CI Muresan, CM Ionescu - ISA transactions, 2018 - Elsevier
Fractional order systems become increasingly popular due to their versatility in modelling
and control applications across various disciplines. However, the bottleneck in deploying …

Implementation of fractional order filters discretized by modified fractional order darwinian particle swarm optimization

A Ates, BB Alagoz, G Kavuran, C Yeroglu - Measurement, 2017 - Elsevier
Digital systems are placed at the core of information technology and they are used
extensively in electronics. The digital filter realization has become a central topic of signal …

Design of minimum multiplier fractional order differentiator based on lattice wave digital filter

R Barsainya, TK Rawat, M Kumar - ISA transactions, 2017 - Elsevier
In this paper, a novel design of fractional order differentiator (FOD) based on lattice wave
digital filter (LWDF) is proposed which requires minimum number of multiplier for its …

[HTML][HTML] Efficient design of discrete fractional-order differentiators using Nelder–Mead simplex algorithm

KPS Rana, V Kumar, Y Garg, SS Nair - Circuits, Systems, and Signal …, 2016 - Springer
Applications of fractional-order operators are growing rapidly in various branches of science
and engineering as fractional-order calculus realistically represents the complex real-world …

Efficient design of wideband digital fractional order differentiators and integrators using multi-verse optimizer

TAA Ali, Z Xiao, S Mirjalili, V Havyarimana - Applied Soft Computing, 2020 - Elsevier
In this paper, a novel method is proposed based on combining L 1-norm optimally criterion
with a recently-proposed metaheuristic called multi-verse optimizer (MVO) to design 2nd …

Optimal design of wideband fractional order digital integrator using symbiotic organisms search algorithm

S Mahata, SK Saha, R Kar… - IET Circuits, Devices & …, 2018 - Wiley Online Library
Optimal design of digital rational approximations with α‐dependant coefficients to model the
fractional order integrator of any arbitrary order α, where α ε (0, 1), is presented in this work …

Time delay handling in dominant pole placement with PID controllers to obtain stability regions using random sampling

K Halder, S Das, A Gupta - International Journal of Control, 2021 - Taylor & Francis
This paper proposes a new formulation of proportional–integral–derivative (PID) controller
design using the dominant pole placement method for handling second-order-plus-time …

Approximations of higher-order fractional differentiators and integrators using indirect discretization

R Yadav, M Gupta - Turkish Journal of Electrical Engineering …, 2015 - journals.tubitak.gov.tr
This paper describes new approximations of fractional order integrators (FOIs) and fractional
order differentiators (FODs) by using a continued fraction expansion-based indirect …

Revisiting oustaloup's recursive filter for analog realization of fractional order differintegrators

S Das, I Pan, S Saha, A Kumar, S Das… - … Conference on Energy …, 2011 - ieeexplore.ieee.org
Rational approximation of fractional order (FO) elements is becoming increasing important
in fractional order control design and signal processing. Among the available continuous …

Fractional Order Differentiators Design Using Honey Badger Optimization Algorithm Based s to z Transform

K Rajasekhar - Wireless Personal Communications, 2024 - Springer
This paper's main objective is to create a digital fractional order differentiator (DFOD) that is
precise, wideband, and stable. First, the Honey Badger algorithm (HBA) has been used to …