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2004 | 14 | 4 | 455-460
Tytuł artykułu

Stabilization of second-order systems by non-linear feedback

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.
Rocznik
Tom
14
Numer
4
Strony
455-460
Opis fizyczny
Daty
wydano
2004
otrzymano
2004-06-01
poprawiono
2004-09-01
Twórcy
  • Institute of Automatics, AGH University of Science and Technology, al. Mickiewicza 30/B-1, 30-059 Cracow, Poland
Bibliografia
  • Datta B.N., Ram Y.M. and Sarkissian D.R. (2000): Single-input partial pole-assignment in gyroscopic quadratic matrix and operator pencils. - Proc. 14th Int. Symp. Mathematical Theory of Networks and Systems, MTNS 2000, Perpignan, France (on CD-ROM).
  • Diwekar A.M. and Yedavalli R.K. (1999): Stability of matrix second-order systems: New conditions and perspectives. - IEEE Trans. Automat. Contr., Vol. 44, No. 9, pp. 1773-1777.
  • Klamka J. (1990): Controllability of Dynamic Systems. - Warsaw: Polish Scientific Publishers, (in Polish).
  • Kobayashi T. (2001): Low gain adaptive stabilization of undamped second order systems. - Arch. Contr. Sci., Vol. 11 (XLVII), Nos. 1-2, pp. 63-75.
  • LaSalle J. and Lefschetz S. (1966): Stability by Liapunov's Direct Method with Applications. - Warsaw: WNT, (in Polish).
  • Mitkowski W. (1991): Stabilization of Dynamic Systems. - Warsaw: Polish Scientific Publishers, (in Polish).
  • Mitkowski W. (2003): Dynamic feedback in LC ladder network. - Bulletin of the Polish Academy of Sciences, Technical Sciences, Vol. 51, No. 2, pp. 173-180.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv14i4p455bwm
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