Design of predictive LQ controller

Miroslav Fikar; Sebastian Engell; Petr Dostál

Kybernetika (1999)

  • Volume: 35, Issue: 4, page [459]-472
  • ISSN: 0023-5954

Abstract

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A single variable controller is developed in the predictive control framework based upon minimisation of the LQ criterion with infinite output and control horizons. The infinite version of the predictive cost function results in better stability properties of the controller and still enables to incorporate constraints into the control design. The constrained controller consists of two parts: time-invariant nominal LQ controller and time-variant part given by Youla–Kučera parametrisation of all stabilising controllers.

How to cite

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Fikar, Miroslav, Engell, Sebastian, and Dostál, Petr. "Design of predictive LQ controller." Kybernetika 35.4 (1999): [459]-472. <http://eudml.org/doc/33440>.

@article{Fikar1999,
abstract = {A single variable controller is developed in the predictive control framework based upon minimisation of the LQ criterion with infinite output and control horizons. The infinite version of the predictive cost function results in better stability properties of the controller and still enables to incorporate constraints into the control design. The constrained controller consists of two parts: time-invariant nominal LQ controller and time-variant part given by Youla–Kučera parametrisation of all stabilising controllers.},
author = {Fikar, Miroslav, Engell, Sebastian, Dostál, Petr},
journal = {Kybernetika},
keywords = {predictive control; LQ controller; discrete-time control system; control design; Youla-Kucera parametrization; predictive control; LQ controller; discrete-time control system; control design; Youla-Kucera parametrization},
language = {eng},
number = {4},
pages = {[459]-472},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Design of predictive LQ controller},
url = {http://eudml.org/doc/33440},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Fikar, Miroslav
AU - Engell, Sebastian
AU - Dostál, Petr
TI - Design of predictive LQ controller
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 4
SP - [459]
EP - 472
AB - A single variable controller is developed in the predictive control framework based upon minimisation of the LQ criterion with infinite output and control horizons. The infinite version of the predictive cost function results in better stability properties of the controller and still enables to incorporate constraints into the control design. The constrained controller consists of two parts: time-invariant nominal LQ controller and time-variant part given by Youla–Kučera parametrisation of all stabilising controllers.
LA - eng
KW - predictive control; LQ controller; discrete-time control system; control design; Youla-Kucera parametrization; predictive control; LQ controller; discrete-time control system; control design; Youla-Kucera parametrization
UR - http://eudml.org/doc/33440
ER -

References

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