Design of an adaptive controller of LQG type: spline-based approach

Tatiana V. Guy; Miroslav Kárný

Kybernetika (2000)

  • Volume: 36, Issue: 2, page [255]-262
  • ISSN: 0023-5954

Abstract

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The paper presents an alternative approach to the design of a hybrid adaptive controller of Linear Quadratic Gaussian (LQG) type for linear stochastic controlled system. The approach is based on the combination standard building blocks of discrete LQG adaptive controller with the non-standard technique of modelling of a controlled system and spline approximation of involved signals. The method could be of interest for control of systems with complex models, in particular distributed parameter systems.

How to cite

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Guy, Tatiana V., and Kárný, Miroslav. "Design of an adaptive controller of LQG type: spline-based approach." Kybernetika 36.2 (2000): [255]-262. <http://eudml.org/doc/33481>.

@article{Guy2000,
abstract = {The paper presents an alternative approach to the design of a hybrid adaptive controller of Linear Quadratic Gaussian (LQG) type for linear stochastic controlled system. The approach is based on the combination standard building blocks of discrete LQG adaptive controller with the non-standard technique of modelling of a controlled system and spline approximation of involved signals. The method could be of interest for control of systems with complex models, in particular distributed parameter systems.},
author = {Guy, Tatiana V., Kárný, Miroslav},
journal = {Kybernetika},
keywords = {hybrid adaptive controller; linear stochastic controlled system; hybrid adaptive controller; linear stochastic controlled system},
language = {eng},
number = {2},
pages = {[255]-262},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Design of an adaptive controller of LQG type: spline-based approach},
url = {http://eudml.org/doc/33481},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Guy, Tatiana V.
AU - Kárný, Miroslav
TI - Design of an adaptive controller of LQG type: spline-based approach
JO - Kybernetika
PY - 2000
PB - Institute of Information Theory and Automation AS CR
VL - 36
IS - 2
SP - [255]
EP - 262
AB - The paper presents an alternative approach to the design of a hybrid adaptive controller of Linear Quadratic Gaussian (LQG) type for linear stochastic controlled system. The approach is based on the combination standard building blocks of discrete LQG adaptive controller with the non-standard technique of modelling of a controlled system and spline approximation of involved signals. The method could be of interest for control of systems with complex models, in particular distributed parameter systems.
LA - eng
KW - hybrid adaptive controller; linear stochastic controlled system; hybrid adaptive controller; linear stochastic controlled system
UR - http://eudml.org/doc/33481
ER -

References

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  1. Boor C. De, Practical Guide to Splines, Springer–Verlag, New York 1978 Zbl0987.65015
  2. Guy T. V., Kárný M., Spline–based hybrid adaptive controller, In: Modelling, Identification and Control (M. H. Hamza, ed.), Acta Press, Anaheim, pp. 118–122 
  3. Jazwinski A. M., Stochastic Processes and Filtering Theory, Academic Press, New York 1970 Zbl0203.50101
  4. Kárný M., Halousková A., Böhm J. R.Kulhavý, Nedoma P., Design of linear quadratic adaptive control: Theory and algorithm for practice, Supplement to Kybernetika 21 (1985), Nos. 3–6 (1985) 
  5. Kárný M., Halousková A., Nagy I., Modelling, identification and adaptive control of cross–direction basis weight of paper sheets, In: Internat. Conf. CONTROL 88, Oxford 1988, pp. 159–164 (1988) 
  6. Kárný M., Nagy I., Böhm J., Halousková A., Design of spline–based selftuners, Kybernetika 26 (1990), 17–30 (1990) 
  7. Korn G. A., Korn T. M., Mathematical Handbook for Scientists and Engineers, McGraw–Hill, New York 1968 Zbl0535.00032MR0220560
  8. Kornejchuk N. P., Splines in the Approximation Theory (in Russian), Nauka, Moscow 1978 
  9. Kulhavý R., 10.1016/0005-1098(87)90054-9, Automatica 23 (1987), 5, 598–600 (1987) Zbl0634.93073MR0912352DOI10.1016/0005-1098(87)90054-9
  10. Ljung L., System Identification: Theory for the User, Prentice–Hall, London 1987 Zbl0615.93004

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