Dynamic stability of a pendulum supported in circular orbit and feedback control

Pi Cheng Tung, Shun Ch ang Chang

Research output: Contribution to journalArticlepeer-review

Abstract

The dynamics of pendulum with support in a circular orbit is considered. There are two purposes for this study. One is to investigate the nonlinear behavior of a pendulum for different output feedback gains. The other is to investigate chaotic motion of a pendulum. The bifurcation theory and the concept of Poincare map are employed in this paper for illustrating stability as the parameters are changed. Hopf bifurcation is found to occur in our model. Numerical methods are used to obtain Poincare maps, bifurcation diagrams and chaos diagrams. When the system is perturbed by external excitations, numerical simulations show that the system exhibits chaos.

Original languageEnglish
Pages (from-to)219-228
Number of pages10
JournalJournal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
Volume14
Issue number3
StatePublished - Jun 1993

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