Publication detail

# Analogue Implementation of a Fractional-Order PI^{\lambda} Controller for DC Motor Speed Control

HERENCSÁR, N. KARTCI, A. KOTON, J. ŠOTNER, R. ALAGOZ, A. B. YEROGLU, C.

Original Title

Analogue Implementation of a Fractional-Order PI^{\lambda} Controller for DC Motor Speed Control

English Title

Analogue Implementation of a Fractional-Order PI^{\lambda} Controller for DC Motor Speed Control

Type

conference paper

Language

en

Original Abstract

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 = -0.89), bandwidth greater than 3 decades, and maximum relative phase error 1.38% is designed by cascade connection of first-order bilinear transfer segments and first-order low-pass filter. The performance of suggested realization is demonstrated in a fractional-order proportional-integral (FOPI lambda) controller described with proportional constant 1.37 and integration constant 2.28. The design specification corresponds to a speed control system of an armature controlled DC motor, which is often used in mechatronic and other fields of control theory. The behavior of both proposed analogue circuits employing two-stage Op-Amps is confirmed by SPICE simulations using TSMC 0.18 mu m level-7 LA) EN SCN018 CMOS process parameters with +/- 0.9 V supply voltages.

English abstract

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 = -0.89), bandwidth greater than 3 decades, and maximum relative phase error 1.38% is designed by cascade connection of first-order bilinear transfer segments and first-order low-pass filter. The performance of suggested realization is demonstrated in a fractional-order proportional-integral (FOPI lambda) controller described with proportional constant 1.37 and integration constant 2.28. The design specification corresponds to a speed control system of an armature controlled DC motor, which is often used in mechatronic and other fields of control theory. The behavior of both proposed analogue circuits employing two-stage Op-Amps is confirmed by SPICE simulations using TSMC 0.18 mu m level-7 LA) EN SCN018 CMOS process parameters with +/- 0.9 V supply voltages.

Keywords

fractional calculus; fractional-order integrator; FOPI lambda controller; DC motor; two-stage Op-Amp

Released

12.06.2019

Publisher

IEEE

Location

NEW YORK

ISBN

978-1-7281-3666-0

Book

Proceedings of the 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE), Vancouver, Canada

Pages from

467

Pages to

472

Pages count

6

URL

Full text in the Digital Library

Documents

BibTex


@inproceedings{BUT157236,
author="Norbert {Herencsár} and Aslihan {Kartci} and Jaroslav {Koton} and Roman {Šotner} and Baris Baykant {Alagoz} and Celaleddin {Yeroglu}",
title="Analogue Implementation of a Fractional-Order PI^{\lambda} Controller for DC Motor Speed Control",
annote="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 = -0.89), bandwidth greater than 3 decades, and maximum relative phase error 1.38% is designed by cascade connection of first-order bilinear transfer segments and first-order low-pass filter. The performance of suggested realization is demonstrated in a fractional-order proportional-integral (FOPI lambda) controller described with proportional constant 1.37 and integration constant 2.28. The design specification corresponds to a speed control system of an armature controlled DC motor, which is often used in mechatronic and other fields of control theory. The behavior of both proposed analogue circuits employing two-stage Op-Amps is confirmed by SPICE simulations using TSMC 0.18 mu m level-7 LA) EN SCN018 CMOS process parameters with +/- 0.9 V supply voltages.",
}