Infinite eigenvalue assignment by an output feedback for singular systems

Tadeusz Kaczorek

International Journal of Applied Mathematics and Computer Science (2004)

  • Volume: 14, Issue: 1, page 19-23
  • ISSN: 1641-876X

Abstract

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The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.

How to cite

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Kaczorek, Tadeusz. "Infinite eigenvalue assignment by an output feedback for singular systems." International Journal of Applied Mathematics and Computer Science 14.1 (2004): 19-23. <http://eudml.org/doc/207674>.

@article{Kaczorek2004,
abstract = {The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.},
author = {Kaczorek, Tadeusz},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {singular system; feedback; infinite eigenvalue assignment},
language = {eng},
number = {1},
pages = {19-23},
title = {Infinite eigenvalue assignment by an output feedback for singular systems},
url = {http://eudml.org/doc/207674},
volume = {14},
year = {2004},
}

TY - JOUR
AU - Kaczorek, Tadeusz
TI - Infinite eigenvalue assignment by an output feedback for singular systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2004
VL - 14
IS - 1
SP - 19
EP - 23
AB - The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.
LA - eng
KW - singular system; feedback; infinite eigenvalue assignment
UR - http://eudml.org/doc/207674
ER -

References

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  1. Dai L. (1989): Singular Control Systems. - Berlin: Springer. Zbl0669.93034
  2. Delin Chu and D.W.C Ho (1999): Infinite eigenvalue assignment for singular systems. - Linear Algebra and Its Applications, Vol. 298, No. 1, pp. 21-37. Zbl0987.93037
  3. Kaczorek T. (2002): Polynomial approach to pole shifting to infinity in singular systems by feedbacks. - Bull. Pol. Acad. Sci. Techn. Sci., Vol. 50, No. 2, pp. 134-144. Zbl1038.93037
  4. Kaczorek T. (2000): Reduced-order perfect and standard observers for singular continuous-time linear systems. - Mach. Intell. Robot. Contr., Vol. 2, No. 3, pp. 93-98. 
  5. Kaczorek T. (2002): Perfect functional observers of singular continuous-time linear systems. - Mach. Intell. Robot. Contr., Vol. 4, No. 1, pp. 77-82. 
  6. Kaczorek T. (1993): Linear Control Systems, Vols. 1 and 2.- New York: Wiley. Zbl0784.93003
  7. Kaczorek T. (2003): The relationship between infinite eigenvalue assignment for singular systems and solvability of polynomial matrix equations. - Int. J. Appl. Math. Comp. Sci., Vol. 13, No. 2, pp. 161-167. Zbl1049.34005
  8. Kaliath T. (1980): Linear Systems. - Englewood Cliffs: Prentice Hall. 
  9. Kučera V. (1981): Analysis and Design of Discrete Linear Control Systems. - Prague: Academia. 
  10. Wonham W.M. (1979): Linear Multivariable Control: A Geometric Approach. - New York: Springer. Zbl0424.93001

Citations in EuDML Documents

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  1. Guisheng Zhai, Xuping Xu, A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
  2. Tadeusz Kaczorek, Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils
  3. Tadeusz Kaczorek, Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils
  4. Tadeusz Kaczorek, Analysis of the descriptor Roesser model with the use of the Drazin inverse
  5. Tetiana Korotka, Jean-Jacques Loiseau, Petr Zagalak, Weak regularizability and pole assignment for non-square linear systems
  6. Tadeusz Kaczorek, Descriptor fractional linear systems with regular pencils
  7. Tadeusz Kaczorek, Singular fractional linear systems and electrical circuits
  8. Tadeusz Kaczorek, Reduced-order fractional descriptor observers for a class of fractional descriptor continuous-time nonlinear systems

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