Dynamic Feedback in LC Ladder Network

• Autorzy: Mitkowski W.
• Języki publikacji: EN

Abstrakty

EN

In this paper stabilisation problem of LC ladder network is established. Nonlinear and linear dynamic feedback without velocity feedback is considered. The global asymptotic stability of the closed-loop system is proved by LaSalle's theorem. Numerical calculations were made with the aid of Matlab/Simulink program.

Słowa kluczowe

EN

ladder network; feedback stabilization; asymptotic stability

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2003
• Tom: Vol. 51, nr 2
• Strony: 173--180
• Opis fizyczny: 5 rys., bibliogr. 10 poz.

Twórcy

autor

Mitkowski W.

• Institute of Automatics, The University of Mining and Metallurgy, al. Mickiewicza 30, 30-059 Kraków, Poland (Katedra Automatyki, Akademia Górniczo-Hutnicza w Krakowie)

Bibliografia

• [1] J. Klamka, Controllability of dynamic systems, [in Polish], PWN, Warszawa 1990.
• [2] T. Kobayashi, M. Oya, Adaptive stabilization of infinite-dimensional undamped second order systems without velocity feedback, Int. J. Appl. Math. Comput. Sci., (2002) to be published.
• [3] K. Kołek, W. Mitkowski, Chaotic oscillations in ladder network, [in Polish], Prace XIX SPETO-1996, Gliwice - Ustroń, 2(15-18.05.1996) 317-320.
• [4] J. LaSalle, S. Lefschetz, Stability by Liapunov’s direct method with applications, [in Polish], PWN, Warszawa 1966.
• [5] T. Kaczorek, Matrix in automatics and electrotechnics, [in Polish], WNT, Warszawa 1984.
• [6] W. Mitkowski, Stabilization of dynamic systems, [in Polish], WNT, Warszawa 1991.
• [7] O. Morgul, Stabilization and disturbance rejection for the wave equation, IEEE Trans. on A.C., 43, 1, (1998) 89-95.
• [8] D. L. Russell, Linear stabilization of the linear oscillator in Hilbert space, J. Math. Anal. Appl., 25 (1969) 663-675.
• [9] A. Turowicz, Geometry of polynomials roots, [in Polish], PWN, Warszawa 1967.
• [10] A. Turowicz, Theory of matrix, [in Polish], 5 ed., AGH, Kraków 1995.