Fractional-, variable-order PID controller implementation based on two discrete-time fractional order operators

Dorota Mozyrska , Piotr Oziabło , Małgorzata Wyrwas


In the paper we discuss two kinds of fractional-, variable-order PID controllers, which are based on two different Gr¨unwald-Letnikov fractional-order backward difference definitions. Additionally, the algorithms of finding Kp, Ki, Kd parameters and order values of controllers are described. The algorithms use Nelder-Mead method to find parameters by minimazing given error criteria. The results of unit stepresponse of both implementations are presented in a graphical form and evaluated using overshoot levels, rise time and two error criteria which are integral squared time weighted error (SSTE) and integral squared time-squared weighted error (SST2E).
Author Dorota Mozyrska (FCS / DM)
Dorota Mozyrska,,
- Department of Mathematics
, Piotr Oziabło (FCS)
Piotr Oziabło,,
- Faculty of Computer Science
, Małgorzata Wyrwas (FCS / DM)
Małgorzata Wyrwas,,
- Department of Mathematics
Publication size in sheets0.5
Book 2019 IEEE 7th International Conference on Control, Mechatronics and Automation : ICCMA 2019 : proceedings, 2019, Institute of Electrical and Electronics Engineers, ISBN 978-1-7281-3786-5, 484 p.
Internal identifierROC 19-20
Languageen angielski
Score (nominal)0
Score sourceconferenceList
ScoreMinisterial score = 0.0, 26-03-2020, ChapterFromConference
Citation count*
Share Share

Get link to the record

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
Are you sure?