Publication detail

The discrete methods for solutions of continuous-time systems

ŠVARC, I.

Original Title

The discrete methods for solutions of continuous-time systems

Type

conference paper

Language

English

Original Abstract

The first part of this contribution deals with discretizing differential equations. Difference equations can also be obtained by discretizing differential equations. A first order differential is approximated by a first order difference, a second order differential by a second order difference, etc. The other way of discretization is discretization by Z transformation of transfer function G(s). This contribution is concerned with the Euler's method and bilinear method. The contribution solves the link between s and z. The last part of this contribution contains solutions of unit step response and impulse response of continuous-time systems by discrete methods that were introduced here. The contribution shows the new possibility of how to solve continuous-time control systems by discrete methods.

Keywords

První část tohoto článku se zabývá diskretizací diferenciálních rovnic. Diferenční rovnice mohou být získány diskretizací diferenciálních rovnic. Diferenciály prvního řádu jsou aproximovány diferencemi prvního řádu, diferenciály druhého řádu diferencemi druhého řádu, atd. Jiný způsob diskretizace je diskretizace Z-transformací přenosu G(s). Článek se zabývá Eulerovou metodou a bilineární metodou. Je řešeno spojení mezi s a z. Difference equations; Eulers method; bilinear method; disretizing.

Authors

ŠVARC, I.

RIV year

2007

Released

19. 9. 2007

Publisher

Springer-Verlag Berlin Heidelberg 2007

Location

Berlin Heidelberg

ISBN

978-3-540-73955-5

Book

Recent Advances in Mechatronics

Edition

není

Edition number

1

Pages from

180

Pages to

184

Pages count

5

BibTex

@inproceedings{BUT30281,
  author="Ivan {Švarc}",
  title="The discrete methods for solutions of continuous-time systems",
  booktitle="Recent Advances in Mechatronics",
  year="2007",
  series="není",
  number="1",
  pages="180--184",
  publisher="Springer-Verlag Berlin Heidelberg 2007",
  address="Berlin Heidelberg",
  isbn="978-3-540-73955-5"
}