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.
@article{bwmeta1.element.bwnjournal-article-amcv14i1p19bwm,
author = {Kaczorek, Tadeusz},
title = {Infinite eigenvalue assignment by an output feedback for singular systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {14},
year = {2004},
pages = {19-23},
zbl = {1171.93331},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv14i1p19bwm}
}
Kaczorek, Tadeusz. Infinite eigenvalue assignment by an output feedback for singular systems. International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) pp. 19-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv14i1p19bwm/
[000] Dai L. (1989): Singular Control Systems. - Berlin: Springer. | Zbl 0669.93034
[001] 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. | Zbl 0987.93037
[002] 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. | Zbl 1038.93037
[003] 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.
[004] Kaczorek T. (2002): Perfect functional observers of singular continuous-time linear systems. - Mach. Intell. Robot. Contr., Vol. 4, No. 1, pp. 77-82.
[005] Kaczorek T. (1993): Linear Control Systems, Vols. 1 and 2.- New York: Wiley. | Zbl 0784.93003
[006] 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. | Zbl 1049.34005
[007] Kaliath T. (1980): Linear Systems. - Englewood Cliffs: Prentice Hall.
[008] Kučera V. (1981): Analysis and Design of Discrete Linear Control Systems. - Prague: Academia.
[009] Wonham W.M. (1979): Linear Multivariable Control: A Geometric Approach. - New York: Springer. | Zbl 0424.93001