An efficient computation of the solution of the block decoupling problem with coefficient assignment over a ring

Jean Assan; Anna Maria Perdon

Kybernetika (1999)

  • Volume: 35, Issue: 6, page [765]-776
  • ISSN: 0023-5954

Abstract

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The paper presents procedures to check solvability and to compute solutions to the Block Decoupling Problem over a Noetherian ring and procedures to compute a feedback law that assigns the coefficients of the compensated system while mantaining the decoupled structure over a Principal Ideal Domain. The algorithms have been implemented using MapleV® and CoCoA [CoCoA].

How to cite

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Assan, Jean, and Perdon, Anna Maria. "An efficient computation of the solution of the block decoupling problem with coefficient assignment over a ring." Kybernetika 35.6 (1999): [765]-776. <http://eudml.org/doc/33461>.

@article{Assan1999,
abstract = {The paper presents procedures to check solvability and to compute solutions to the Block Decoupling Problem over a Noetherian ring and procedures to compute a feedback law that assigns the coefficients of the compensated system while mantaining the decoupled structure over a Principal Ideal Domain. The algorithms have been implemented using MapleV® and CoCoA [CoCoA].},
author = {Assan, Jean, Perdon, Anna Maria},
journal = {Kybernetika},
keywords = {block decoupling problem over a Noetherian ring; feedback law; principal ideal domain; block decoupling problem over a Noetherian ring; feedback law; principal ideal domain},
language = {eng},
number = {6},
pages = {[765]-776},
publisher = {Institute of Information Theory and Automation AS CR},
title = {An efficient computation of the solution of the block decoupling problem with coefficient assignment over a ring},
url = {http://eudml.org/doc/33461},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Assan, Jean
AU - Perdon, Anna Maria
TI - An efficient computation of the solution of the block decoupling problem with coefficient assignment over a ring
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 6
SP - [765]
EP - 776
AB - The paper presents procedures to check solvability and to compute solutions to the Block Decoupling Problem over a Noetherian ring and procedures to compute a feedback law that assigns the coefficients of the compensated system while mantaining the decoupled structure over a Principal Ideal Domain. The algorithms have been implemented using MapleV® and CoCoA [CoCoA].
LA - eng
KW - block decoupling problem over a Noetherian ring; feedback law; principal ideal domain; block decoupling problem over a Noetherian ring; feedback law; principal ideal domain
UR - http://eudml.org/doc/33461
ER -

References

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  2. Assan J., Lafay J. F., Perdon A. M., An algorithm to compute maximal pre–controllability submodules over a Principal Ideal Domain, In: Proc. IFAC Workshop on Linear Time Delay Systems, Grenoble 1998, pp. 123–128 (1998) 
  3. Assan J., Lafay J. F., Perdon A. M., Computation of maximal pre-controllability submodules over a Noetherian ring (to appear 
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  8. Conte G., Perdon A. M., 10.1109/9.728878, IEEE Trans. Automat. Control 43 (1998), 11, 1600–1604 (1998) Zbl0964.93025MR1652831DOI10.1109/9.728878
  9. Conte G., Perdon A. M., Lombardo A., Block decoupling problem with coefficient assignment and stability for linear systems over Noetherian rings, In: Proc. IFAC Conference on System Structure and Control, Nantes 1998 
  10. Emre E., Khargonekar P., 10.1109/TAC.1982.1102815, IEEE Trans. Automat. Control AC–27 (1982), 1, 104–113 (1982) Zbl0502.93019MR0673076DOI10.1109/TAC.1982.1102815
  11. Dübbelde J., Schmale W., Normalformproblem und Koefficientenzuweisung bei Systemen über euklidischen Ringen, University of Oldenburg, 1994 
  12. Hautus M. L. J., 10.1007/BFb0031071, (Lecture Notes in Control and Infomation Sciences 58.) Springer–Verlag, Berlin 1984 Zbl0532.93044MR0792124DOI10.1007/BFb0031071
  13. Inaba H., Ito N., Munaka T., Decoupling and pole assignment for linear systems defined over a Principal Ideal Domain, In: Linear Circuits, Systems and Signal Processing: Theory and Applications (C. I. Byrnes, C. F. Martin, R. E. Saeks, eds.), North Holland, Amsterdam 1988 MR1031030
  14. Lang S., Algebra, Second edition. Addison Wesley, Reading 1984 Zbl1063.00002MR0783636
  15. Sename O., Lafay J. F., 10.1109/9.580895, IEEE Trans. Automat. Control 42 (1997), 5, 736–742 (1997) Zbl0910.93039MR1454220DOI10.1109/9.580895
  16. Wonham M., Linear Multivariable Control: A Geometric Approach, Third edition. Springer–Verlag, New York 1985 Zbl0609.93001MR0770574

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