Continuous-time periodic systems in H 2 and H ∞ . Part II: State feedback problems

Patrizio Colaneri

Kybernetika (2000)

  • Volume: 36, Issue: 3, page [329]-350
  • ISSN: 0023-5954

Abstract

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This paper deals with some state-feedback H 2 / H ∞ control problems for continuous time periodic systems. The derivation of the theoretical results underlying such problems has been presented in the first part of the paper. Here, the parametrization and optimization problems in H 2 , H ∞ and mixed H 2 / H ∞ are introduced and solved.

How to cite

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Colaneri, Patrizio. "Continuous-time periodic systems in $H_2$ and $H_\infty $. Part II: State feedback problems." Kybernetika 36.3 (2000): [329]-350. <http://eudml.org/doc/33487>.

@article{Colaneri2000,
abstract = {This paper deals with some state-feedback $H_2/H_\infty $ control problems for continuous time periodic systems. The derivation of the theoretical results underlying such problems has been presented in the first part of the paper. Here, the parametrization and optimization problems in $H_2$, $H_\infty $ and mixed $H_2/H_\infty $ are introduced and solved.},
author = {Colaneri, Patrizio},
journal = {Kybernetika},
keywords = {state-feedback control problem},
language = {eng},
number = {3},
pages = {[329]-350},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Continuous-time periodic systems in $H_2$ and $H_\infty $. Part II: State feedback problems},
url = {http://eudml.org/doc/33487},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Colaneri, Patrizio
TI - Continuous-time periodic systems in $H_2$ and $H_\infty $. Part II: State feedback problems
JO - Kybernetika
PY - 2000
PB - Institute of Information Theory and Automation AS CR
VL - 36
IS - 3
SP - [329]
EP - 350
AB - This paper deals with some state-feedback $H_2/H_\infty $ control problems for continuous time periodic systems. The derivation of the theoretical results underlying such problems has been presented in the first part of the paper. Here, the parametrization and optimization problems in $H_2$, $H_\infty $ and mixed $H_2/H_\infty $ are introduced and solved.
LA - eng
KW - state-feedback control problem
UR - http://eudml.org/doc/33487
ER -

References

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  1. Doyle J. C., Glover K., Khargonekaar P. P., Francis B. A., 10.1109/9.29425, IEEE Trans. Automat. Control 34 (1989), 831–846 (1989) MR1004301DOI10.1109/9.29425
  2. Mita T., Zhi L. Kang, Ohushi S., 10.1109/9.250489, IEEE Trans. Automat. Control 38 (1993), 343–347 (1993) MR1206827DOI10.1109/9.250489
  3. Colaneri P., Geromel J. C., Locatelli A., Control Systems Design – A H 2 and H ∞ Viewpoint, Academic Press, New York 1997 
  4. Colaneri P., Continuous–time periodic systems in H 2 and H ∞ – Part I: Theoretical aspects, Kybernetika 36 (2000), 211–242 MR1760025
  5. Bittanti S., Colaneri P., Nicolao G. De, The periodic Riccati equation, In: The Riccati Equation (S. Bittanti, A. J. Laub and J. C. Willems, eds.), Springer Verlag, Berlin 1990, pp. 127–162 (1990) MR1132054
  6. Bittanti S., Deterministic and stochastic linear periodic systems, In: Time Series and Linear Systems (S. Bittanti, ed.), Springer Verlag, Berlin 1986, pp. 141–182 (1986) MR0897824
  7. Bolzern P., Colaneri P., 10.1137/0609041, SIAM J. Matrix Analysis and Application 4 (1988), 499–512 (1988) Zbl0662.93050MR0964664DOI10.1137/0609041

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