Fractional order control-a tutorial
Many real dynamic systems are better characterized using a non-integer order dynamic
model based on fractional calculus or, differentiation or integration of non-integer order …
model based on fractional calculus or, differentiation or integration of non-integer order …
A review of the digital implementation of continuous-time fractional-order chaotic systems using FPGAs and embedded hardware
D Clemente-López, JM Munoz-Pacheco… - … Methods in Engineering, 2023 - Springer
The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …
phenomena with a better approximation than classical calculus. In fractional-order chaotic …
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 …
[图书][B] Functional fractional calculus
S Das - 2011 - Springer
When a new extraordinary and outstanding theory is stated, it has to face criticism and
skeptism, because it is beyond the usual concept. The fractional calculus though not new …
skeptism, because it is beyond the usual concept. The fractional calculus though not new …
Fractional-order circuits and systems: An emerging interdisciplinary research area
AS Elwakil - IEEE Circuits and Systems Magazine, 2010 - ieeexplore.ieee.org
A recent article published in this magazine has labeled fractional-order continuous-time
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …
Chaos in a fractional order Chua's system
TT Hartley, CF Lorenzo… - IEEE Transactions on …, 1995 - ieeexplore.ieee.org
This brief studies the effects of fractional dynamics in chaotic systems. In particular, Chua's
system is modified to include fractional order elements. By varying the total system order …
system is modified to include fractional order elements. By varying the total system order …
Chaos and hyperchaos in the fractional-order Rössler equations
The dynamics of fractional-order systems have attracted increasing attentions in recent
years. In this paper, we numerically study the chaotic behaviors in the fractional-order …
years. In this paper, we numerically study the chaotic behaviors in the fractional-order …
Chaos in the fractional order Chen system and its control
In this letter, we study the chaotic behaviors in the fractional order Chen system. We found
that chaos exists in the fractional order Chen system with order less than 3. The lowest order …
that chaos exists in the fractional order Chen system with order less than 3. The lowest order …
Chaos in fractional-order autonomous nonlinear systems
We numerically investigate chaotic behavior in autonomous nonlinear models of fractional
order. Linear transfer function approximations of the fractional integrator block are calculated …
order. Linear transfer function approximations of the fractional integrator block are calculated …
Chaos in Chen's system with a fractional order
C Li, G Peng - Chaos, Solitons & Fractals, 2004 - Elsevier
Chaos in Chen's system with a fractional order - ScienceDirect Skip to main contentSkip to article
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