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离心调速器系统的混沌分岔及控制
引用本文:王小斌,黄剑,李贵杰.离心调速器系统的混沌分岔及控制[J].温州大学学报(自然科学版),2014(1):46-51.
作者姓名:王小斌  黄剑  李贵杰
作者单位:兰州交通大学数理学院,甘肃兰州730070
摘    要:建立了离心调速器系统的动力学方程,借助系统的相图、分岔图和Lyapunov指数图分析了系统的混沌动力学形态.利用对系统分别施加周期参数强迫、周期激励控制和x|x|控制的方法,通过适当调整控制参数,将系统的混沌行为有效地控制到稳定的周期轨道.运用数值仿真验证了方法的有效性和可行性.

关 键 词:离心调速器  混沌  分岔  Lyapunov指数  相图

Chaos Bifurcation and Control of Centrifugal Governor System
WANG Xiaobin,HUANG Jian,LI Guijie.Chaos Bifurcation and Control of Centrifugal Governor System[J].Journal of Wenzhou University Natural Science,2014(1):46-51.
Authors:WANG Xiaobin  HUANG Jian  LI Guijie
Institution:(School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, China 730070)
Abstract:The dynamics equation is established, and by means of centrifugal governor system, bifurcation diagram and Lyapunov exponent diagram, the form of the chaotic dynamics system is analyzed. By the imposition on the system of the periodic parameter forcing, periodic excitation control and x|x| control, and through the appropriate adjustment of control parameters, the chaotic behavior of the system is effectively controlled to the stable periodic orbits. Numerical simulation is employed to verify the effectiveness and feasibility of the method
Keywords:Centrifugal Governor  Chaos  Bifurcation  Lyapunov Exponent  Phase Diagram
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