Stabilization of Second-order Systems by Non-linear Feedback

• Autorzy: Skruch P.
• 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.

Słowa kluczowe

EN

second-order system; stability theory; non-linear feedback

PL

układ drugiego rzędu; teoria stabilności; sterowanie nieliniowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: Vol. 14, no 4
• Strony: 455--460
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Skruch P.

• Institute of Automatics, AGH University of Science and Technology al. Mickiewicza 30/B-1, 30-059 Cracow, Poland,

Bibliografia

• [1] Datta B.N., Ram Y.M. and Sarkissian D.R. (2000): Singleinput 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).
• [2] 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.
• [3] Klamka J. (1990): Controllability of Dynamic Systems. — Warsaw: Polish Scientific Publishers, (in Polish).
• [4] Kobayashi T. (2001): Low gain adaptive stabilization of undamped second order systems. — Arch. Contr. Sci., Vol. 11(XLVII), Nos. 1–2, pp. 63–75.
• [5] LaSalle J. and Lefschetz S. (1966): Stability by Liapunov’s Direct Method with Applications. — Warsaw: WNT, (in Polish).
• [6] Mitkowski W. (1991): Stabilization of Dynamic Systems. — Warsaw: Polish Scientific Publishers, (in Polish).
• [7] 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.