Publication detail

Design PID Controllers Using Generalized Laguerre Functions

KÁRSKÝ, V. TŮMA, M.

Original Title

Design PID Controllers Using Generalized Laguerre Functions

Type

journal article in Web of Science

Language

English

Original Abstract

This paper deals with a method of designing PID controllers. Generalized Laguerre functions were used for this task. Generalized Laguerre functions generate an orthogonal base in the time domain and the operator domain. This property of generalized Laguerre functions is benefically used for the design of the PID controller. Parameters for generalized Laguerre function PID controllers are computed from the Laguerre series of the open loop and the Laguerre series of the ideal open loop. To satisfy this goal, the plant transfer function, the controller transfer function, and the ideal open loop transfer function are transformed into generalized Laguerre function base. Three examples are shown to present this method.

Keywords

PID controller, PI controller, PD controller, fractional order systems, generalized Laguerre functions, orthogonal functions

Authors

KÁRSKÝ, V.; TŮMA, M.

Released

3. 8. 2022

Publisher

Czech Technical University in Prague

Location

Prague

ISBN

1805-9600

Periodical

Radioengineering

Year of study

31

Number

3

State

Czech Republic

Pages from

390

Pages to

397

Pages count

8

URL

https://www.radioeng.cz/fulltexts/2022/22_03_0390_0397.pdf

BibTex

@article{BUT178972,
  author="Vilém {Kárský} and Martin {Tůma}",
  title="Design PID Controllers Using Generalized Laguerre Functions",
  journal="Radioengineering",
  year="2022",
  volume="31",
  number="3",
  pages="390--397",
  doi="10.13164/re.2022.0390",
  issn="1805-9600",
  url="https://www.radioeng.cz/fulltexts/2022/22_03_0390_0397.pdf"
}