On the regulator problem for a class of LTI systems with delays

Bernardino Castillo-Toledo; Eduardo Núñez-Pérez

Kybernetika (2003)

  • Volume: 39, Issue: 4, page [415]-432
  • ISSN: 0023-5954

Abstract

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This paper deals with the problem of tracking a reference signal while maintaining the stability of the closed loop system for linear time invariant systems with delays in the states. We show that conditions for the existence of a solution to this problem (the so-called regulation problem), similar to those known for the case of delay-free linear systems, may be given. We propose a solution for both the state and error feedback regulation.

How to cite

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Castillo-Toledo, Bernardino, and Núñez-Pérez, Eduardo. "On the regulator problem for a class of LTI systems with delays." Kybernetika 39.4 (2003): [415]-432. <http://eudml.org/doc/33654>.

@article{Castillo2003,
abstract = {This paper deals with the problem of tracking a reference signal while maintaining the stability of the closed loop system for linear time invariant systems with delays in the states. We show that conditions for the existence of a solution to this problem (the so-called regulation problem), similar to those known for the case of delay-free linear systems, may be given. We propose a solution for both the state and error feedback regulation.},
author = {Castillo-Toledo, Bernardino, Núñez-Pérez, Eduardo},
journal = {Kybernetika},
keywords = {linear systems; regulator theory; delay systems; linear system; regulator theory; delay system},
language = {eng},
number = {4},
pages = {[415]-432},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the regulator problem for a class of LTI systems with delays},
url = {http://eudml.org/doc/33654},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Castillo-Toledo, Bernardino
AU - Núñez-Pérez, Eduardo
TI - On the regulator problem for a class of LTI systems with delays
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 4
SP - [415]
EP - 432
AB - This paper deals with the problem of tracking a reference signal while maintaining the stability of the closed loop system for linear time invariant systems with delays in the states. We show that conditions for the existence of a solution to this problem (the so-called regulation problem), similar to those known for the case of delay-free linear systems, may be given. We propose a solution for both the state and error feedback regulation.
LA - eng
KW - linear systems; regulator theory; delay systems; linear system; regulator theory; delay system
UR - http://eudml.org/doc/33654
ER -

References

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