Results 1 to 10 of about 210,852 (219)
On Systematic Design of Fractional-Order Element Series [PDF]
Sensors, 2021 In this paper a concept for the efficient design of a series of floating fractional-order elements (FOEs) is proposed. Using even single or a very limited number of so-called “seed” FOEs it is possible to obtain a wide set of new FOEs featuring ...
Jaroslav Koton +3 more
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Selectable Fractional-order Controller for Industrial Control Designs [PDF]
E3S Web of Conferences, 2023 Differential Equation (DE) of fractional-order specifically gives clear view of fractional-order systems. Since genuine processes are typically or most anticipated to be fractional, employing fractional-order’s concept might be results to take us closer ...
Walia Mandeep Singh +2 more
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Fractional-order single state reset element [PDF]
Nonlinear Dynamics, 2021 AbstractThis paper proposes a fractional-order reset element whose architecture allows for the suppression of nonlinear effects for a range of frequencies. Suppressing the nonlinear effects of a reset element for the desired frequency range while maintaining it for the rest is beneficial, especially when it is used in the framework of a “Constant in ...
Karbasizadeh, Nima (author) +2 more
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Designing series of fractional-order elements [PDF]
Analog Integrated Circuits and Signal Processing, 2021 In this paper we propose an efficient approach to design fractional-order elements’ (FOEs) series, while using a very limited set of “seed” FOEs. The proposed approach follows the idea of general immittance inverter/converter, whereas a suitable circuit solution employing operational transconductance amplifiers is also presented and can be used for the
Jaroslav Koton +3 more
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Generalization of Reset Controllers to Fractional Orders
Mathematics, 2022 Reset control is a simple non-linear control technique that can help overcome the structural limitations of linear control. Fractional control uses the concept of fractional derivatives to expand the range of possibilities when modeling a controller ...
Henrique Paz, Duarte Valério
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Analog Modeling of Fractional-Order Elements: A Classical Circuit Theory Approach
IEEE Access, 2021 In this paper a comprehensive procedure for the analog modeling of Fractional-Order Elements (FOEs) is presented. Unlike most already proposed techniques, a standard approach from classical circuit theory is applied.
Neven Mijat +2 more
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Fractional-order autonomous circuits with order larger than one
Journal of Advanced Research, 2020 Fractional-order circuit is a kind of circuit which contains fractional-order elements. It has been proved that the fractional-order circuit has some characteristics which are hard to be achieved by integer-order circuits, such as higher degree of ...
Yanwei Jiang +3 more
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Fractal and Fractional, 2022 A finite element scheme for solving a two-timescale Hadamard time-fractional equation is discussed. We prove the error estimate without assuming the smoothness of the solution. In order to invert the fractional order, a finite-element Levenberg–Marquardt
Shijing Cheng +3 more
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Equivalent diagrams of fractional order elements
Archives of Control Sciences, 2023 Summary: This paper presents equivalent impedance and operator admittance systems for fractional order elements. Presented models of fractional order elements of the type: \(s^\alpha L_\alpha\) and \(1/s^\alpha C_\alpha\), \((0\alpha 1)\) were obtained using the Laplace transform based on the expansion of the factor sign to an infinite fraction with ...
Sebastian Różowicz +2 more
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Realization of Fractional Order Elements [PDF]
INAE Letters, 2017 Fractional order (FO) element (FOE) is the building block for realization of FO systems, an important research domain. However, the realization of FO system is still a challenge. Till date, no FOE or fractor is available in the market. However, many researchers have developed various types of FOE, multi-component and single component, over past 50 ...
Avishek Adhikary +3 more
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