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Citation

Mošna, J. and Melichar, J. and Pešek, P. : Polynomial parametrization of multirate dead-beat ripple-free controllers . Control systems design 2003, p. 307-312, IFAC, Oxford, 2004.

Abstract

In this paper, a solution is given to the polynomial parametrization of the set of admissible causal multirate dead-beat ripple-free controllers, if simultaneously, the desired region of closed-loop poles is chosen. The admissible set of all causal DBRF controllers is obtained through the solution of multirate Diophantine equation, which is polynomially transformable to the standard Diophantine equation. The parametrization of the set of DBRF controllers is carried out in a finite dimensional space of polynomials that transforms the minimum-step control sequence into the control sequence corresponding to the controller with a given degree of freedom.

Detail of publication

Title: Polynomial parametrization of multirate dead-beat ripple-free controllers
Author: Mošna, J. ; Melichar, J. ; Pešek, P.
Language: English
Date of publication: 7 Sep 2003
Year: 2004
Type of publication: Papers in proceedings of reviewed conferences
Title of journal or book: Control systems design 2003
Page: 307 - 312
ISBN: 0-08-044175-0
Publisher: IFAC
Address: Oxford
Date: 7 Sep 2003 - 10 Sep 2003
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Keywords

multirate sampled-data system, dead-beat control, Diophantine equation

BibTeX

@INPROCEEDINGS{MosnaJ_2004_Polynomial,
 author = {Mo\v{s}na, J. and Melichar, J. and Pe\v{s}ek, P.},
 title = {Polynomial parametrization of multirate dead-beat ripple-free controllers},
 year = {2004},
 publisher = {IFAC},
 journal = {Control systems design 2003},
 address = {Oxford},
 pages = {307-312},
 ISBN = {0-08-044175-0},
 url = {http://www.kky.zcu.cz/en/publications/MosnaJ_2004_Polynomial},
}