[PDF][PDF] Fractional-Order System Modeling and its Applications.

K Kothari, U Mehta, R Prasad - Journal of Engineering Science & …, 2019 - jestr.org
In order to control or operate any system in a closed-loop, it is important to know its behavior
in the form of mathematical models. In the last two decades, a fractional-order model has …

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 …

Application of fractional order sliding mode control for speed control of permanent magnet synchronous motor

FM Zaihidee, S Mekhilef, M Mubin - Ieee Access, 2019 - ieeexplore.ieee.org
This paper investigates speed regulation of permanent magnet synchronous motor (PMSM)
system based on sliding mode control (SMC). Sliding mode control has been vastly applied …

On the stability of linear systems with fractional-order elements

AG Radwan, AM Soliman, AS Elwakil… - Chaos, Solitons & Fractals, 2009 - Elsevier
Linear integer-order circuits are a narrow subset of rational-order circuits which are in turn a
subset of fractional-order. Here, we study the stability of circuits having one fractional …

Measurement of supercapacitor fractional-order model parameters from voltage-excited step response

TJ Freeborn, B Maundy… - IEEE Journal on Emerging …, 2013 - ieeexplore.ieee.org
In this paper, we propose using a numerically solved least squares fitting process to
estimate the impedance parameters of a fractional order model of supercapacitors from their …

Fractional order Butterworth filter: active and passive realizations

AS Ali, AG Radwan, AM Soliman - IEEE journal on emerging …, 2013 - ieeexplore.ieee.org
This paper presents a general procedure to obtain Butterworth filter specifications in the
fractional-order domain where an infinite number of relationships could be obtained due to …

RC models of a constant phase element

J Valsa, J Vlach - International Journal of Circuit Theory and …, 2013 - Wiley Online Library
The paper describes models of a constant‐phase element consisting of passive R and C
components. The models offer any input impedance argument (phase) between− 90° and 0° …

[图书][B] Design of CMOS analog integrated fractional-order circuits: applications in medicine and biology

This book describes the design and realization of analog fractional-order circuits, which are
suitable for on-chip implementation, capable of low-voltage operation and electronic …

On the generalization of second-order filters to the fractional-order domain

AG Radwan, AS Elwakil, AM Soliman - Journal of Circuits, Systems …, 2009 - World Scientific
This work is aimed at generalizing the design of continuous-time second-order filters to the
non-integer-order (fractional-order) domain. In particular, we consider here the case where a …

Fractional-Order RC and RL Circuits

AG Radwan, KN Salama - Circuits, Systems, and Signal Processing, 2012 - Springer
This paper is a step forward to generalize the fundamentals of the conventional RC and RL
circuits in fractional-order sense. The effect of fractional orders is the key factor for extra …