Detail publikace

# Fractional-Order Elements of Complement Order

Originální název

Fractional-Order Elements of Complement Order

Anglický název

Fractional-Order Elements of Complement Order

Jazyk

en

Originální abstrakt

The design of analogue fractional-order systems requires the presence of fractional-order elements (FOEs), capacitive and/or inductive, featuring fractional order \alpha (0 < \alpha < 1). As currently FOEs are not available as discrete elements, suitable RC networks are used to overcome this obstacle. In this paper we primary propose the transformation of fractional-order elements to cover the whole span of \alpha by a reduced number of RC networks or later readily available discrete FOEs. Using this approach, FOEs can be designed featuring complementary fractional order \beta, i.e. \beta = 1-\alpha. Analysing the transformation possibilities, we also discuss the design of fractional capacitance multiplier.

Anglický abstrakt

The design of analogue fractional-order systems requires the presence of fractional-order elements (FOEs), capacitive and/or inductive, featuring fractional order \alpha (0 < \alpha < 1). As currently FOEs are not available as discrete elements, suitable RC networks are used to overcome this obstacle. In this paper we primary propose the transformation of fractional-order elements to cover the whole span of \alpha by a reduced number of RC networks or later readily available discrete FOEs. Using this approach, FOEs can be designed featuring complementary fractional order \beta, i.e. \beta = 1-\alpha. Analysing the transformation possibilities, we also discuss the design of fractional capacitance multiplier.

BibTex


@inproceedings{BUT140992,
author="Jaroslav {Koton} and Norbert {Herencsár} and David {Kubánek} and Costas {Psychalinos}",
title="Fractional-Order Elements of Complement Order",
annote="The design of analogue fractional-order systems requires the presence of fractional-order elements (FOEs), capacitive and/or inductive, featuring fractional order \alpha (0 < \alpha < 1). As currently FOEs are not available as discrete elements, suitable RC networks are used to overcome this obstacle. In this paper we primary propose the transformation of fractional-order elements to cover the whole span of \alpha by a reduced number of RC networks or later readily available discrete FOEs. Using this approach, FOEs can be designed
featuring complementary fractional order \beta, i.e. \beta = 1-\alpha. Analysing the transformation possibilities, we also discuss the design of fractional capacitance multiplier.",
booktitle="Proc. 10th Int. Conf. Electrical and Electronics Engineering",
chapter="140992",
howpublished="online",
year="2017",
month="november",
pages="1212--1215",
type="conference paper"
}