Publication detail

Discrete and Continuous Fractional Controllers

CIPÍN, R. PAZDERA, I. PROCHÁZKA, P. KNOBLOCH, J. ČERVINKA, D. KADLEC, J.

Original Title

Discrete and Continuous Fractional Controllers

Type

conference paper

Language

English

Original Abstract

This article deals with a comparison of discrete and continuous fractional speed controller of DC motor with permanent magnets. The first part of this article deals with an introduction into fractional calculus with aim to software implementation of fractional controller. The discrete controller is based on direct use of Grunwald-Letnikov interpretation of fraction derivative. The continuous fractional controller is based on Oustaloup's recursive approximation of fractional derivative. The second part deals with a comparison of both fractional controllers with a PI controller for DC motor with permanent magnets. Optimal parameters for all controllers are found by a genetic algorithm.

Keywords

DC motor; fractional calculus; fractional controller; Grünwald-Letnikov derivative; Oustaloup's method

Authors

CIPÍN, R.; PAZDERA, I.; PROCHÁZKA, P.; KNOBLOCH, J.; ČERVINKA, D.; KADLEC, J.

RIV year

2014

Released

29. 10. 2014

Location

Brno

ISBN

978-80-214-4817-9

Book

Proceedings of the 16th International Conference on Mechatronics – Mechatronika 2014

Pages from

554

Pages to

559

Pages count

6

BibTex

@inproceedings{BUT110379,
  author="Radoslav {Cipín} and Ivo {Pazdera} and Petr {Procházka} and Jan {Knobloch} and Dalibor {Červinka} and Josef {Kadlec}",
  title="Discrete and Continuous Fractional Controllers",
  booktitle="Proceedings of the 16th International Conference on Mechatronics – Mechatronika 2014",
  year="2014",
  pages="554--559",
  address="Brno",
  isbn="978-80-214-4817-9"
}