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Analysis of undamped second order systems with dynamic feedback

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Języki publikacji
EN
Abstrakty
EN
In this paper the stabilization problem of undamped second order system is considered. The stabilization by first order dynamic feedback is studied. The global asymptotic stability of the respectively closed-loop system is proved by LaSalle's theorem. As an example of application of the proposed method an electric ladder network L and Ic type is presented. Numerical calculations were made using the Matlab/Simulink program.
Rocznik
Strony
563--572
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
  • Chair of Automatics AGH, University of Science and Technology, Al. Mickiewicza 30/B-1, 30-059 Krakow, Poland
Bibliografia
  • Beckenbach, E.F. (1968) Modern mathematics for the engineer. PWN, Warszawa, in Polish. Original edition: Mc Graw-Hill Book Company, Inc.,1961, New York.
  • Bellman, R. (1960) Introduction to Matrix Analysis. McGraw-Hill BookCompany, Inc., New York.
  • Klamka, J. (1990) Controllability of dynamical systems. PWN, Warszawa, in Polish.
  • Klamka, J. (1991) Controllability of Dynamical Systems. Kluwer Academic Publishers, Dorsrecht, The Netherlands.
  • Kobayashi, T. (2001) Low gain adaptive stabilization of undamped secondorder systems. Archives of Control Sciences11 (XLVII) 1-2, 63-75.
  • Kobayashi, T. and Oya, M. (2004) Adaptive stabilization of infinite-dimensional undamped second order systems without velocity feedback. Archivesof Control Sciences14(L), 1, 73-84.
  • Lancaster, P. (1969)Theory of Matrix. Academic Press, New York.
  • LaSalle, J. and Lefschetz, S. (1966) Stability by Liapunov’s Direct Method with Applications. PWN, Warszawa, in Polish. Original edition: Academic Press, 1966, New York.
  • Mitkowski, W. (1991) Stabilisation of dynamic systems. WNT, Warszawa, in Polish.
  • Mitkowski, W. (2004) Stabilisation of LC ladder network, Bulletin oh thePolish Academy of Sciences.Technical Sciences 52 (2), 109-114.
  • Pazy, A. (1983) Semigroups of linear operators and applications to partial differential equations. Vol. 44 of Applied Mathematical Sciences, Springer-Verlag, New York.
  • Slemrod, M. (1976) Stabilization of boundary control systems. Journal of differential equations 22, 402-415.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0007-0069
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