An Electronically Controllable Fractional Multivibrator

Saçu, İbrahim Ethem; Alçı, Mustafa

doi:10.1080/03772063.2018.1548909

Cited by 4 publications

(2 citation statements)

References 29 publications

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“…Fractional calculus is used in many fields such as electronics, electromagnetism, control theory and biology [2, 5]. It is utilized in the area of electronics for the design of sinusoidal and relaxation oscillators [6–30], differentiators and integrators [5], PI α –PD β –PI α D β controllers [31–34], phase‐locked loop [35] as well as filters [36–39]. In fractional‐order controllers, the time and frequency responses of the control system may be more adjustable with the help of fractional‐order parameters [32].…”

Section: Introductionmentioning

confidence: 99%

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Design and realisation of a fractional‐order sinusoidal oscillator

Saçu

Alçı²

2020

IET Circuits, Devices & Systems

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In this work, a new fractional-order sinusoidal oscillator is proposed. The proposed oscillator consists of one fractional-order all-pass filter and one fractional-order lossless integrator blocks. In order to emulate fractional-order capacitors, three different approximation methods the R-C pair, Matsuda and Oustaloup are employed and the results are compared. Three sinusoidal voltage signals with different phases that are controlled by fractional orders are provided by the proposed oscillator topology that is not possible for the classical integer-order case. Grounded passive components are used in the introduced oscillator circuit. Additionally, the output voltage signals are available at the low impedance terminal W of AD844ANs. Moreover, the time constant of the fractional-order all-pass filter can be adjusted accurately by means of second resistor R x in the all-pass filter section. In addition to the simulation results, the proposed fractional oscillator is also implemented to verify the oscillator circuit experimentally. For the case of fractional orders α = 1 and β = 0.5, the measurement results are 10.3 kHz, 43.22° and 67.99°, respectively, while the desired values are 10 kHz, 45° and 67.36°, respectively.

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Section: Introductionmentioning

confidence: 99%

“…As for [14], fractional‐order integrator blocks are used. Analysis of voltage excited and current excited fractional relaxation oscillators have been reported in [29, 30].…”

Section: Introductionmentioning

confidence: 99%