Meromorphic observer-based pole assignment in time delay systems

Pavel Zítek; Vladimír Kučera; Tomáš Vyhlídal

Kybernetika (2008)

  • Volume: 44, Issue: 5, page 633-648
  • ISSN: 0023-5954

Abstract

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The paper deals with a novel method of control system design which applies meromorphic transfer functions as models for retarded linear time delay systems. After introducing an auxiliary state model a finite-spectrum observer is designed to close a stabilizing state feedback. The observer finite spectrum is the key to implement a state feedback stabilization scheme and to apply the affine parametrization in controller design. On the basis of the so- called RQ-meromorphic functions an algebraic solution to the problem of time- delay system stabilization and control is presented that practically provides a finite spectrum assignment of the control loop.

How to cite

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Zítek, Pavel, Kučera, Vladimír, and Vyhlídal, Tomáš. "Meromorphic observer-based pole assignment in time delay systems." Kybernetika 44.5 (2008): 633-648. <http://eudml.org/doc/33954>.

@article{Zítek2008,
abstract = {The paper deals with a novel method of control system design which applies meromorphic transfer functions as models for retarded linear time delay systems. After introducing an auxiliary state model a finite-spectrum observer is designed to close a stabilizing state feedback. The observer finite spectrum is the key to implement a state feedback stabilization scheme and to apply the affine parametrization in controller design. On the basis of the so- called RQ-meromorphic functions an algebraic solution to the problem of time- delay system stabilization and control is presented that practically provides a finite spectrum assignment of the control loop.},
author = {Zítek, Pavel, Kučera, Vladimír, Vyhlídal, Tomáš},
journal = {Kybernetika},
keywords = {retarded time-delay system; meromorphic transfer function; reduced-order observer; state feedback; affine parametrization of stabilizing controllers; retarded time-delay system; meromorphic transfer function; reduced-order observer; state feedback; affine parametrization of stabilizing controllers},
language = {eng},
number = {5},
pages = {633-648},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Meromorphic observer-based pole assignment in time delay systems},
url = {http://eudml.org/doc/33954},
volume = {44},
year = {2008},
}

TY - JOUR
AU - Zítek, Pavel
AU - Kučera, Vladimír
AU - Vyhlídal, Tomáš
TI - Meromorphic observer-based pole assignment in time delay systems
JO - Kybernetika
PY - 2008
PB - Institute of Information Theory and Automation AS CR
VL - 44
IS - 5
SP - 633
EP - 648
AB - The paper deals with a novel method of control system design which applies meromorphic transfer functions as models for retarded linear time delay systems. After introducing an auxiliary state model a finite-spectrum observer is designed to close a stabilizing state feedback. The observer finite spectrum is the key to implement a state feedback stabilization scheme and to apply the affine parametrization in controller design. On the basis of the so- called RQ-meromorphic functions an algebraic solution to the problem of time- delay system stabilization and control is presented that practically provides a finite spectrum assignment of the control loop.
LA - eng
KW - retarded time-delay system; meromorphic transfer function; reduced-order observer; state feedback; affine parametrization of stabilizing controllers; retarded time-delay system; meromorphic transfer function; reduced-order observer; state feedback; affine parametrization of stabilizing controllers
UR - http://eudml.org/doc/33954
ER -

References

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