机械式离心调速器系统的Hopf分岔分析与控制  

Hopf Bifurcation Analysis and Control for Mechanical Centrifugal Flywheel Governor System

作　　者：李鹏松[1] 刘琦[1] 盛桂全[1] 

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《吉林大学学报（理学版）》2016年第4期771-778,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11402095);吉林省科技发展计划项目(批准号:20130101065JC)

摘　　要：针对机械式离心调速器系统,利用多尺度法研究系统的Hopf分岔类型和周期解的稳定性.设计了非线性控制器以抑制Hopf分岔引起的颤振,将原系统的亚临界Hopf分岔控制为超临界Hopf分岔,将原系统振幅较大的超临界Hopf分岔控制为振幅较小的超临界Hopf分岔.采用理论分析和数值模拟结果验证了所给控制方法的有效性.Aiming at the mechanical centrifugal flywheel governor system, we studied the type of Hopf bifurcation and the stability of periodic solution by using the method of multiple scales. A nonlinear controller was designed to restrain the flutter caused by Hopf bifurcation. The nonlinear control gain could be determined to transform subcritical Hopf bifurcation into supercritical one and transform large amplitude of supercritical Hopf bifurcation into small amplitude of supercritical one. The results of the theoretic analysis and numerical simulation show that the designed controller is valid.

关 键 词：亚临界Hopf分岔 超临界Hopf分岔 非线性控制 多尺度法 

分 类 号：O193[理学—数学]