Lyapunov's direct method for stabilization of the Furuta pendulum


TÜRKER T. , Gorgun H. , Cansever G.

TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, cilt.20, ss.99-110, 2012 (SCI İndekslerine Giren Dergi)

Atıf İçin Kopyala
  • Cilt numarası: 20 Konu: 1
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3906/elk-1007-653
  • Dergi Adı: TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES
  • Sayfa Sayısı: ss.99-110

Özet

This paper presents a novel stabilization result for the Furuta pendulum for a large region of attraction including almost all of the upper half plane. The solution is obtained via constructing a Lyapunov function after set of coordinate changes. Then, a set of differential equations are solved to achieve asymptotic stability which is proved in accordance with La Salle's invariance principle. The effectiveness of the proposed stabilization method is illustrated with simulation studies.