Infinite eigenvalue assignment by an output feedback for singular systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

infinite eigenvalue assignment; feedback; singular system

PL

przyporządkowanie wartości własnych; sprzężenie zwrotne; układ singularny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: Vol. 14, no 1
• Strony: 19--23
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Kaczorek T.

• Warsaw University of Technology Faculty of Electrical Engineering Institute of Control and Industrial Electronics 00-662 Warszawa, Koszykowa 75, Poland,

Bibliografia

• [1] Dai L. (1989): Singular Control Systems. — Berlin: Springer.
• [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.
• [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.
• [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.
• [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.
• [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.