Fractional order control of power electronic converters in industrial drives and renewable energy systems: a review

P Warrier, P Shah - IEEE Access, 2021 - ieeexplore.ieee.org
The power electronics industry is undergoing a revolution driven by an industry 4.0
perspective, with smart and green/hybrid energy management systems being the …

On the fractional signals and systems

R Magin, MD Ortigueira, I Podlubny, J Trujillo - Signal Processing, 2011 - Elsevier
A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …

[BOK][B] Fractional calculus: models and numerical methods

D Baleanu, K Diethelm, E Scalas, JJ Trujillo - 2012 - books.google.com
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

[HTML][HTML] Metaheuristic-based algorithms for optimizing fractional-order controllers—a recent, systematic, and comprehensive review

AM Nassef, MA Abdelkareem, HM Maghrabie… - Fractal and …, 2023 - mdpi.com
Metaheuristic optimization algorithms (MHA) play a significant role in obtaining the best
(optimal) values of the system's parameters to improve its performance. This role is …

An introduction to the fractional continuous-time linear systems: the 21st century systems

MD Ortigueira - IEEE Circuits and Systems Magazine, 2008 - ieeexplore.ieee.org
A brief introduction to the fractional continuous-time linear systems is presented. It will be
done without needing a deep study of the fractional derivatives. We will show that the …

[BOK][B] Advances in robust fractional control

F Padula, A Visioli - 2015 - Springer
Fractional systems and fractional control have received great attention recently, both from an
academic and an industrial viewpoint, because of their increased flexibility (with respect to …

Active disturbance rejection control for fractional-order system

M Li, D Li, J Wang, C Zhao - ISA transactions, 2013 - Elsevier
Fractional-order proportional–integral (PI) and proportional–integral–derivative (PID)
controllers are the most commonly used controllers in fractional-order systems. However …

Compensation by fractional‐order phase‐lead/lag compensators

MS Tavazoei, M Tavakoli‐Kakhki - IET Control Theory & …, 2014 - Wiley Online Library
This study deals with a generalised version of lead/lag compensators known as fractional‐
order lead/lag compensators. Exact and simple formulas are found for designing this …

[HTML][HTML] A Comparative performance evaluation of a complex-order PI controller for DC–DC converters

P Warrier, P Shah, R Sekhar - Results in Control and Optimization, 2024 - Elsevier
Switched-mode DC–DC converters are required to maintain constant output under
uncertainties and variations in input voltage and load. The controller's robustness is crucial …

Comparisons of modeling and state of charge estimation for lithium-ion battery based on fractional order and integral order methods

R **ao, J Shen, X Li, W Yan, E Pan, Z Chen - Energies, 2016 - mdpi.com
In order to properly manage lithium-ion batteries of electric vehicles (EVs), it is essential to
build the battery model and estimate the state of charge (SOC). In this paper, the fractional …