A new collection of real world applications of fractional calculus in science and engineering
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 …
discussed and applied to real world applications in many branches of science and …
Linear fractional order controllers; A survey in the frequency domain
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 …
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
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 …
FOPID controllers and their industrial applications: A survey of recent results
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 …
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
Today, fractional order proportional integration derivative (FO-PID) controllers have attracted
much attention from academia and industry. Despite FO-PID controllers outperforming …
much attention from academia and industry. Despite FO-PID controllers outperforming …
Discrete fractional‐order BAM neural networks with leakage delay: existence and stability results
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 …
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) …
(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 …
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 …
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 …
approach for precision tip position control of a single link flexible robot arm. The proposed …