A deterministic LQ tracking problem: parametrisation of the controller

Ľuboš Čirka; Ján Mikleš; Miroslav Fikar

Kybernetika (2002)

  • Volume: 38, Issue: 4, page [469]-478
  • ISSN: 0023-5954

Abstract

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The article discusses an optimal Linear Quadratic (LQ) deterministic control problem when the Youla–Kučera parametrisation of controller is used. We provide a computational procedure for computing a deterministic optimal single-input single-output (SISO) controller from any stabilising controller. This approach allows us to calculate a new optimal LQ deterministic controller from a previous one when the plant has changed. The design based on the Youla –Kučera parametrisation approach is compared to the classical LQ design.

How to cite

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Čirka, Ľuboš, Mikleš, Ján, and Fikar, Miroslav. "A deterministic LQ tracking problem: parametrisation of the controller." Kybernetika 38.4 (2002): [469]-478. <http://eudml.org/doc/33596>.

@article{Čirka2002,
abstract = {The article discusses an optimal Linear Quadratic (LQ) deterministic control problem when the Youla–Kučera parametrisation of controller is used. We provide a computational procedure for computing a deterministic optimal single-input single-output (SISO) controller from any stabilising controller. This approach allows us to calculate a new optimal LQ deterministic controller from a previous one when the plant has changed. The design based on the Youla –Kučera parametrisation approach is compared to the classical LQ design.},
author = {Čirka, Ľuboš, Mikleš, Ján, Fikar, Miroslav},
journal = {Kybernetika},
keywords = {LQ deterministic control; tracking problem; LQ deterministic control; tracking problem},
language = {eng},
number = {4},
pages = {[469]-478},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A deterministic LQ tracking problem: parametrisation of the controller},
url = {http://eudml.org/doc/33596},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Čirka, Ľuboš
AU - Mikleš, Ján
AU - Fikar, Miroslav
TI - A deterministic LQ tracking problem: parametrisation of the controller
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 4
SP - [469]
EP - 478
AB - The article discusses an optimal Linear Quadratic (LQ) deterministic control problem when the Youla–Kučera parametrisation of controller is used. We provide a computational procedure for computing a deterministic optimal single-input single-output (SISO) controller from any stabilising controller. This approach allows us to calculate a new optimal LQ deterministic controller from a previous one when the plant has changed. The design based on the Youla –Kučera parametrisation approach is compared to the classical LQ design.
LA - eng
KW - LQ deterministic control; tracking problem; LQ deterministic control; tracking problem
UR - http://eudml.org/doc/33596
ER -

References

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  1. Dostál P., Mészáros, A., Mikleš J., A modified LQ tracking problem, Journal Electrical Engrg. 45 (1994), 4, 129–133 (1994) 
  2. Hunt K. J., Šebek M., 10.1016/0005-1098(91)90088-J, Automatica 27 (1991), 2, 395–398 (1991) Zbl0729.93083MR1095430DOI10.1016/0005-1098(91)90088-J
  3. Kučera V., Discrete Linear Control: The Polynomial Equation Approach, Wiley, Chichester 1979 Zbl0432.93001MR0573447
  4. Kučera V., 10.1016/0005-1098(81)90021-2, Automatica 17 (1981), 745–748 (1981) MR0632848DOI10.1016/0005-1098(81)90021-2
  5. Kwakernaak H., Sivan R., Linear Optimal Control Systems, Wiley, New York 1972 Zbl0276.93001MR0406607
  6. Vidyasagar M., Control System Synthesis: A Factorization Approach, MIT Press, Cambridge, MA 1985 Zbl0655.93001MR0787045

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