Use of a Component with Fractional Impedance in the Realization of an Analogical Regulator of Order ½

Haba, T. Cisse; Loum, Georges Laussane; Zoueu, Jérémie T.

doi:10.3923/jas.2008.59.67

Cited by 32 publications

(4 citation statements)

References 3 publications

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“…The goal of the research in [12] was to demonstrate the stability of a regulatory system utilizing a nonconventional corrector, such as the one used in this current study, rather than a traditional corrector system. In a frequency region known as the fractal area, the input impedance of the realized electronic component has a fractional order.…”

Section: Literature Reviewmentioning

confidence: 99%

Various Methods of Realization for Fractional-Order Elements

Krishna

2023

ECTI-EEC

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Fractional-order circuits are finding applications in control systems, signal processing, and other allied fields. As a result, realizing fractional-order elements or fractance devices is an essential research topic. A unique fractance device is realized in this study using continued fraction expansion (CFE) and partial fraction expansion (PFE) formulas. Continued fraction expansion is used to calculate the rational approximation. For simulation, the fourth order rational approximation for fractional order, =-1/2, -1/3, -1/4 is used. All simulations are carried out with the help of the MATLAB and TINA software packages. The theoretical and simulation results are in agreement.

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Section: Literature Reviewmentioning

confidence: 99%

Various Methods of Realization for Fractional-Order Elements

Krishna

2023

ECTI-EEC

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“…Krishna and Reddy [2] discussed a realization of a fractance device that is based on a continuing fraction growth. The realization of a fractional impedance of order 1/2 is made possible by Hilbert's structure, which is also put to use in the construction of fractional order controllers [3]. Many of the electrical systems make use of something called a fractional order filter.…”

Section: Introductionmentioning

confidence: 99%

Realization of fractional order lowpass filter using different approximation techniques

Krishna,

Janarthanan

2023

Bulletin EEI

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Many research groups are starting to pay serious attention to the problem of fractional-order circuits. In this paper, a new approach to designing fractional order low-pass filter (FOLPF) is presented. Finding a rational approximation of the fractional Laplace operator sα is a crucial step in the design of fractional order filters. A comparative study of the most widely used approximation techniques named continued fraction expansion (CFE) method and Biquadratic Approximation (RE) method is performed. Then the transfer function of the proposed FOLPF is calculated. Using operational amplifier, the proposed filter is synthesized. The proposed circuit is simulated using Texas instruments TINA software. The results obtained outperform the existing methods.

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“…We can also mention other fractional-order circuits such as oscillators [20]- [22], or controllers [23], for example. The fractionalorder structures can find practical use in precision measurement and modeling of various biological signals, [8], [24], [25], agriculture [26] and also in control [23], [27] and electrical engineering [1]- [5], [9]- [23].…”

Section: Introductionmentioning

confidence: 99%

Electronically Tunable Fully-Differential Fractional-Order Low-Pass Filter

Langhammer¹,

Dvořák²,

Šotner³

et al. 2017

ElAEE

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The paper presents proposal of a fullydifferential (1 + α)-order low-pass filter. The order of the filter and its cutoff frequency can be controlled electronically. The filter is proposed using operational transconductance amplifiers (OTAs), adjustable current amplifiers (ACAs) and fullydifferential current follower (FD-CF). The circuit structure is based on well-known Inverse Follow-the-Leader Feedback (IFLF) topology. Design correctness of the proposed filter is supported by PSpice simulations with transistor-level simulation models. The ability of the electronic control of the order has been tested for five individual values of parameter α. Furthermore, the ability of the electronic control of the cutoff frequency of the filter has been also tested for five different values. Additionally, the simulation results of the proposed fully-differential (F-D) filter are compared with the results of the single-ended (S-E) equivalent of the presented filter.

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Use of a Component with Fractional Impedance in the Realization of an Analogical Regulator of Order ½

Cited by 32 publications

References 3 publications

Various Methods of Realization for Fractional-Order Elements

Various Methods of Realization for Fractional-Order Elements

Realization of fractional order lowpass filter using different approximation techniques

Electronically Tunable Fully-Differential Fractional-Order Low-Pass Filter

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