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Analog Implementation of Fractional-Order Elements and Their Applications
(2019-06-24)
With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received ...
Analog Implementation of Fractional-Order Elements and Their Applications
(2019-06-24)
With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received ...
Series-, Parallel-, and Inter-Connection of Solid-State Arbitrary Fractional-Order Capacitors: Theoretical Study and Experimental Verification
(IEEE, 2018-02-27)
In the paper, general analytical formulas are introduced for the determination of equivalent impedance, magnitude, and phase, i.e. order, for n arbitrary fractional-order capacitors (FoCs) connected in series, parallel, ...
Analogue Implementation of a Fractional-Order PI^{\lambda} Controller for DC Motor Speed Control
(IEEE, 2019-06-12)
In this paper, an approach to design a fractional-order integral operator s(lambda) where -1 < lambda <0, using an analogue technique, is presented. The integrator with a constant phase angle -80.1 degree (i.e. order lambda ...
Compact MOS-RC Voltage-Mode Fractional-Order Oscillator Design
(IEEE, 2017-09-04)
A new voltage-mode fractional-order oscillator, employing in total 12 Metal-Oxide-Semiconductor (MOS) transistors, is introduced in this paper. The proposed circuit is composed of two operational transconductance amplifiers, ...
Validation of Fractional-Order Lowpass Elliptic Responses of (1 + )-Order Analog Filters
(MDPI, 2018-12-13)
In this paper, fractional-order transfer functions to approximate the passband and
stopband ripple characteristics of a second-order elliptic lowpass filter are designed and validated. The necessary coefficients for these ...
Comparative Study of Op-Amp-based Integrators Suitable for Fractional-Order Controller Design
(IEEE, 2019-07-01)
In this paper, a fractional-order capacitor (FOC) of an order = 0.89 (i.e. constant phase angle –80.1 degree) was emulated via Valsa RC network with five branches. The network component values were optimized using modified ...
VDIBA-Based Fractional-Order Oscillator Design
(IEEE, 2019-07-01)
This paper deals with a voltage-mode integer- and fractional-order oscillator design providing compact and simple CMOS structure. The proposed circuit consists of only one grounded/floating capacitor, one grounded/floating ...
Identification and Monitoring of Parkinson’s Disease Dysgraphia Based on Fractional-Order Derivatives of Online Handwriting
(MDPI, 2019-01-11)
Parkinson’s disease dysgraphia affects the majority of Parkinson’s disease (PD) patients and is the result of handwriting abnormalities mainly caused by motor dysfunctions. Several effective approaches to quantitative PD ...
Power functions and essentials of fractional calculus on isolated time scales
(Springer, 2013-08-23)
This paper concerns with a recently suggested axiomatic definition of power functions on a general time scale and its consequences to fractional calculus. Besides a discussion of existence and uniqueness of such functions, ...