Publication detail

Comparative Analysis of Discrete Derivative Implementations in PID Controllers

PIVOŇKA, P. SCHMIDT, M.

Original Title

Comparative Analysis of Discrete Derivative Implementations in PID Controllers

English Title

Comparative Analysis of Discrete Derivative Implementations in PID Controllers

Type

conference paper

Language

en

Original Abstract

In technical practice it shows that the key problem in a PID controller realization is in its derivative part. With an overwhelming majority of compact controllers a continuous transfer function is described in their documentation, even though the implementation is discrete. A replacement of the derivative by first-order difference is unsatisfactory. In order for a PID controller to be practically usable, its derivative action must be filtered. The article discusses multiple ways how the derivative can be implemented in discrete variants of the PID controller. Their respective advantages and pitfalls are compared. One of them, which exhibits responses most similar to the continuous version and is usable in the widest range of sampling periods, is then recommended.

English abstract

In technical practice it shows that the key problem in a PID controller realization is in its derivative part. With an overwhelming majority of compact controllers a continuous transfer function is described in their documentation, even though the implementation is discrete. A replacement of the derivative by first-order difference is unsatisfactory. In order for a PID controller to be practically usable, its derivative action must be filtered. The article discusses multiple ways how the derivative can be implemented in discrete variants of the PID controller. Their respective advantages and pitfalls are compared. One of them, which exhibits responses most similar to the continuous version and is usable in the widest range of sampling periods, is then recommended.

Keywords

PID, derivative, discrete implementation, noise amplification

RIV year

2007

Released

23.07.2007

Publisher

WSEAS

Location

Řecko

ISBN

978-960-8457-90-4

Book

Systems Theory and Applications

Edition

vol.2

Edition number

1

Pages from

33

Pages to

37

Pages count

5

BibTex


@inproceedings{BUT28317,
  author="Petr {Pivoňka} and Michal {Schmidt}",
  title="Comparative Analysis of Discrete Derivative Implementations in PID Controllers",
  annote="In technical practice it shows that the key problem in a PID controller realization is in its derivative
part. With an overwhelming majority of compact controllers a continuous transfer function is described in their
documentation, even though the implementation is discrete. A replacement of the derivative by first-order
difference is unsatisfactory. In order for a PID controller to be practically usable, its derivative action must be
filtered. The article discusses multiple ways how the derivative can be implemented in discrete variants of the PID
controller. Their respective advantages and pitfalls are compared. One of them, which exhibits responses most
similar to the continuous version and is usable in the widest range of sampling periods, is then recommended.",
  address="WSEAS",
  booktitle="Systems Theory and Applications",
  chapter="28317",
  edition="vol.2",
  institution="WSEAS",
  year="2007",
  month="july",
  pages="33--37",
  publisher="WSEAS",
  type="conference paper"
}