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对弹簧摆的振动幅值控制进行研究,设计了反馈控制器,对弱非线性系统用近似解析方法求出了控制系统的幅值控制方程,得到了控制参数与幅值的函数关系,使多自由度非线性系统的鞍结分岔得到控制.这项工作可以推广到其他多自由度非线性系统的分岔控制.
The vibration amplitude control of the spring pendulum is studied, and the feedback controller is designed. The approximate governing equations of the nonlinear system are obtained. The control equations are obtained as a function of the amplitude of the control system. The saddle-knot bifurcation of a degree of freedom nonlinear system is controlled, which can be extended to the bifurcation control of other multi-degree-of-freedom nonlinear systems.