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Implementing Discrete-time Fractional-order Controllers [PDF]
The theory of fractional calculus goes back to the beginning of the theory of differential calculus but its inherent complexity postponed the application of the associated concepts. In the last decade the progress in the areas of chaos and fractals revealed subtle relationships with the fractional calculus leading to an increasing interest in the ...
openaire +2 more sources
Fractional-order iterative learning control for singular fractional- order system: (P) - PDa type [PDF]
Iterative learning control (ILC) is one of the recent topics in control theories and it is suitable for controlling a wider class of mechatronic systems - it is especially suitable for the motion control of robotic systems.
Lazarević Mihailo +4 more
doaj
Generalization of Reset Controllers to Fractional Orders
Reset control is a simple non-linear control technique that can help overcome the structural limitations of linear control. Fractional control uses the concept of fractional derivatives to expand the range of possibilities when modeling a controller ...
Henrique Paz, Duarte Valério
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Molecular bases of circadian magnesium rhythms across eukaryotes
Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley +1 more source
Frequency Control of Interlinked Microgrid System Using Fractional Order Controller
As renewable energy resource (RES) penetration levels increase within a grid, power networks become more vulnerable to low inertia issues. Additionally, the proliferation of electric vehicles (EVs) has already made a substantial impact on grid dynamics ...
Dharmesh Kumar +2 more
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Hybrid Systems and Control With Fractional Dynamics (I): Modeling and Analysis
No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give additional ...
HosseinNia, S. Hassan +2 more
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This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley +1 more source
In this paper, fractional order internal model control technique is formulated for non-ideal dc–dc buck and boost converter. The fractional order internal model control approach integrates the concept of Commande Robuste d’Ordre Non Entier principle for ...
Shivam Jain +4 more
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In this research work, time-delay adaptive synchronization and adaptive anti-synchronization of chaotic fractional order systems are analyzed via the Caputo fractional derivative, and the prob-lem of synchronization and anti-synchronization of chaotic ...
Joel Perez Padron +3 more
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Fractional Order Version of the HJB Equation
We consider an extension of the well-known Hamilton-Jacobi-Bellman (HJB) equation for fractional order dynamical systems in which a generalized performance index is considered for the related optimal control problem.
AsadiZadehShiraz, Mehdi +2 more
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