Chaos Control and Chaos Synchronization for a Rotational Machine with a Hexagonal Centrifugal Governor

• Main Authors: Ching-I Lee, 李青一
• Other Authors: Zheng-Ming Ge
• Format: Others
• Language: en_US
• Published: 2004
• Online Access: http://ndltd.ncl.edu.tw/handle/85s32w

博士 === 國立交通大學 === 機械工程系所 === 92 === The chaotic dynamics of the rotational machine with a hexagonal centrifugal governor are studied in this thesis. Autonomous, nonautonomous and time-delay systems are discussed. The Lyapunov direct method is applied to obtain conditions of stability of the equilibrium points of autonomous system. By applying numerical results, phase diagrams, power spectrum, Poincaré maps, and Lyapunov exponents are presented to observe periodic and chaotic motions. The effect of the parameter changes in the system can be found in the bifurcation and parametric diagrams. Besides, several methods are used to control chaos effectively. Finally, some different procedures for the design of the controller are proposed for anticontrol and synchronization of chaos of the governor system.