Using proportional and different controller to control chaos in non-autonomous mechanical system
by Jian-gang Zhang, Yan-dong Chu, Xian-feng Li, Ying-xiang Chang
International Journal of Modelling, Identification and Control (IJMIC), Vol. 8, No. 1, 2009

Abstract: The complex dynamics behaviour of the centrifugal flywheel governor system subjected to external disturbance is studied. The dynamical equation of the system is established using Lagrangian and Newton's second law. Poincare sections and Lyapunov exponents are presented to analyse hyperchaotic behaviour of the system. The hyperchaotic behaviour of system of two positive Lyapunov exponents along with one zero and one negative Lyapunov exponent is obtained. Routes from Hopf bifurcation to chaos are analysed by the bifurcation diagram and phase portraits, and the Lyapunov exponents corresponded to bifurcation diagrams of the system are confirmed. The hyperchaotic behaviour of the system is controlled by using proportional and different controller methods. Based on the non-linear feedback control, the different stable periodic orbits are obtained and by adjusting the feedback coefficients. The centrifugal flywheel governor system subjected to external disturbance is researched numerically. The results show that the method can control effectively the system, and the range of control is board.

Online publication date: Fri, 09-Oct-2009

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