A new collection of real world applications of fractional calculus in science and engineering

HG Sun, Y Zhang, D Baleanu, W Chen… - … in Nonlinear Science and …, 2018 - Elsevier
Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …

Linear fractional order controllers; A survey in the frequency domain

AA Dastjerdi, BM Vinagre, YQ Chen… - Annual Reviews in …, 2019 - Elsevier
Today, there is a great tendency toward using fractional calculus to solve engineering
problems. The control is one of the fields in which fractional calculus has attracted a lot of …

Towards industrialization of FOPID controllers: A survey on milestones of fractional-order control and pathways for future developments

A Tepljakov, BB Alagoz, C Yeroglu, EA Gonzalez… - IEEE …, 2021 - ieeexplore.ieee.org
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 …

FOPID controllers and their industrial applications: A survey of recent results

A Tepljakov, BB Alagoz, C Yeroglu, E Gonzalez… - IFAC-PapersOnLine, 2018 - Elsevier
The interest towards using Fractional-order (FO) PID controllers in the industry is mainly
fueled by the fact that these controllers have two additional “tuning knobs” that can be used …

Tuning guidelines for fractional order PID controllers: Rules of thumb

AA Dastjerdi, N Saikumar, SH HosseinNia - Mechatronics, 2018 - Elsevier
Today, fractional order proportional integration derivative (FO-PID) controllers have attracted
much attention from academia and industry. Despite FO-PID controllers outperforming …

Discrete fractional‐order BAM neural networks with leakage delay: existence and stability results

J Alzabut, S Tyagi, S Abbas - Asian Journal of Control, 2020 - Wiley Online Library
In this paper, a discrete model of fractional‐order bidirectional associative memory (BAM)
neural networks with leakage delay is considered. Sufficient conditions are established for …

Time delay control of cable-driven manipulators with adaptive fractional-order nonsingular terminal sliding mode

Y Wang, F Yan, S Jiang, B Chen - Advances in Engineering Software, 2018 - Elsevier
For the high performance control of cable-driven manipulators, a novel time delay control
(TDC) scheme with adaptive fractional-order nonsingular terminal sliding mode (AFONTSM) …

Novel fractional-order decentralized control for nonlinear fractional-order composite systems with time delays

Z Zhe, W Yaonan, Z Jing, Z Ai, FY Cheng, F Liu - ISA transactions, 2022 - Elsevier
A novel decentralized non-integer order controller applied on nonlinear fractional-order
composite system (NFOCS) is proposed. In addition, some novel results for the asymptotic …

[HTML][HTML] Quantifying the performance enhancement facilitated by fractional-order implementation of classical control strategies for nanopositioning

T Wang, A San-Millan, SS Aphale - ISA transactions, 2024 - Elsevier
For most nanopositioning systems, maximizing positioning bandwidth to accurately track
periodic and aperiodic reference signals is the primary performance goal. Closed-loop …

Precise tip-positioning control of a single-link flexible arm using a fractional-order sliding mode controller

F Hamzeh Nejad, A Fayazi… - Journal of Vibration …, 2020 - journals.sagepub.com
This article presents an efficient scheme based on fractional order sliding mode control
approach for precision tip position control of a single link flexible robot arm. The proposed …