摘要
研究了一类受外部扰动的离心调速器系统的动力学行为.通过力学分析,建立了离心调速器系统的动力学方程,应用李雅普诺夫直接方法得到该系统稳定平衡点的条件.利用数值结果、相图和李雅普诺夫指数分析了系统的周期和混沌运动.用5种方法实现了系统的混沌控制,将系统的混沌行为有效地控制到稳定的周期轨道.
Dynamic behavior of centrifugal flywheel governor system subjected to external disturbance was studied.By using mechanical analysis,the dynamic equation of the system was established,the Lyapunov direct method was applied to obtain stability conditions of system equilibrium points.By applying numerical computation,phase diagram,and Lyapunov exponents,the period and chaos motions of the system were analyzed.Five methods were used to implement chaotic control of the system,and the chaotic behavior of the system was effectively controlled to fall onto the steady periodic orbit.
出处
《兰州理工大学学报》
CAS
北大核心
2005年第2期144-148,共5页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(10172042
50475109)
甘肃省自然科学基金(ZS 011 A25 010 Z
ZS 031 A25 007)
关键词
调速器
李雅普诺夫指数
混沌
混沌控制
周期运动
相图
flywheel governor
Lyapunov exponents
chaos
chaos controlling
periodic motion
phase diagram
