Stabilisation of LC ladder network

• Autorzy: Mitkowski W.
• Języki publikacji: EN

Abstrakty

EN

In this paper stabilisation problem of LC ladder network is established. We studied the following cases: stabilisation by inner resistance, by velocity feedback and stabilisation by dynamic linear feedback, in particularly stabilisation by first range dynamic feedback. The global asymptotic stability of the respectively system is proved by LaSalle's theorem. In the proof the observability of the dynamic system plays an essential role. Numerical calculations were made using the Matlab/Simulink program.

Słowa kluczowe

EN

ladder network; feedback stabilisation; asymptotic stability

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2004
• Tom: Vol. 52, nr 2
• Strony: 109--114
• Opis fizyczny: Bibliogr. 8 poz., 8 rys.

Twórcy

autor

Mitkowski W.

• Institute of Automatics, University of Mining and Metallurgy, 30 Mickiewicza Ave., 30-059 Kraków, Poland

Bibliografia

• [1] W. Mitkowski, Stabilization of Dynamic Systems, WNT, Warszawa, 1991, (in Polish).
• [2] W. Mitkowski, “Dynamic feedback in LC ladder network”, Bull. Pol. Ac.: Tech. 51(3), 173–180 (2003).
• [3] A. Turowicz, Theory of Matrix, 5 ed., AGH, Kraków (1995), (in Polish).
• [4] T. Kaczorek, Matrix in Automatics and Electrotechnics, WNT, Warszawa (1984), (in Polish).
• [5] J. Klamka, Controllability of Dynamic Systems, PWN, Warszawa (1990), (in Polish).
• [6] J. LaSalle and S. Lefschetz, Stability by Liapunov’s Direct Method with Applications, PWN, Warszawa (1966), (in Polish).
• [7] T. Kobayashi, “Low gain adaptive stabilization of undamped second order systems”, Archives of Control Sciences 11(1–2), 63–75 (2001).
• [8] W. Mitkowski and P. Skruch, “Stabilization of second order systems by linear position feedback”, Proc. MMAS 2004, (to be published).