调速器反馈控制系统的Hopf分叉
Hopf Bifurcation of Flywheel Governor with Feedback Control Device
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摘要: 建立了调速器反馈控制系统的三阶微分方程数学模型,判定系统存在Hopf分叉,利用中心流形-范式 方法求出了系统的Hopf分叉解,给出了系统可控制的条件。数值计算表明,分叉参数需较远离分叉值,才能保 证系统较快地收敛于平衡点。Abstract: The mathematical model of the flywheel governor with a feedback device is proposed. Results show that there existsHopf bifurcation in the system. The bifurcation problem can be solved with a center manifold-normal forms theorem. A controllable condition of the system is presented. It was revealed by numerical simulation that the parameters need somehow away from bifurcation point to guarantee a quick convergence to the equilibrium point.
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Key words:
- nonlinear system /
- stability /
- flywheel governor /
- Hopf bifurcation
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