Comparative study of op-amp-based integrators suitable for fractional-order controller design

Norbert Herencsar, Aslihan Kartci, Hacer A. Yildiz, Roman Sotner, Jan Dvorak, David Kubanek, Jan Jerabek, Jaroslav Koton

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)

Abstract

In this paper, a fractional-order capacitor (FOC) of an order λ=0.89 (i.e. constant phase angle-80.1 degree) was emulated via Valsa RC network with five branches. The network component values were optimized using modified least squares quadratic method in a wide frequency range of 100 mHz-1kHz (i.e. 4 decades) and maximum relative phase error 0.78% was obtained. The design specification corresponds to a speed control system of an armature controlled DC motor, which is often used in control theory. Overall performance evaluation shows the product of evaluated key features (e.g. phase angle deviation and absolute values of relative phase, impedance, and pseudocapacitance errors) for the optimized FOC is 13.3% less than the one obtained via Valsa approximation. The behavior of Op-Amp-based non-inverting configurations of analogue fractional-order integral operator s-λ employing the optimized FOC, where 0<λ<1, is compared. The behavior of studied integrator circuits is confirmed by SPICE simulations using the readily available Texas Instruments TL072 low-noise Op-Amp macromodel, which is commonly used in electronics.

Original languageEnglish
Title of host publication2019 42nd International Conference on Telecommunications and Signal Processing, TSP 2019
EditorsNorbert Herencsar
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages740-743
Number of pages4
ISBN (Electronic)9781728118642
DOIs
Publication statusPublished - Jul 2019
Event42nd International Conference on Telecommunications and Signal Processing, TSP 2019 - Budapest, Hungary
Duration: 1 Jul 20193 Jul 2019

Publication series

Name2019 42nd International Conference on Telecommunications and Signal Processing, TSP 2019

Conference

Conference42nd International Conference on Telecommunications and Signal Processing, TSP 2019
Country/TerritoryHungary
CityBudapest
Period1/07/193/07/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Keywords

  • DC motor
  • Fractional calculus
  • Fractional-order capacitor
  • Fractional-order controller
  • Fractional-order integrator
  • Op-Amp
  • Valsa RC network

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