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中国物理学会期刊

耦合的van der Pol振子的极限环幅值控制

CSTR: 32037.14.aps.56.101

Amplitude control of limit cycle of coupled van der Pol oscillator

CSTR: 32037.14.aps.56.101
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  • 设计反馈控制器,对一类耦合的van der Pol振子的极限环幅值进行控制. 用近似解析方法求出了控制系统的幅值的控制方程, 得到了控制参数与极限环幅值的函数关系, 使系统的振幅能按需求得到有效地调整. 通过数值计算绘制了在不同控制参数下, 系统响应的时间历程曲线和极限环. 近似解析方法计算得到的结果与数值计算进行了比较,两者是符合的. 这一方法也可以推广应用到其他耦合的van der Pol振子.

     

    Feedback controllers are designed by way of controlling the amplitude of limit cycle of coupled van der Pol oscillators. Bifurcation control equations of weakly nonlinear systems are obtained by using the approximate method, and relationships between the amplitude of limit cycle and the control gain are acquired, hence the amplitude of limit cycle can be controlled effectively. By using numerical method of solving ordinary differential equations, time displacement curves and limit cycle of the uncontrolled or controlled system can be found. The results obtained by approximate method and in numerical calculation are in good agreement. The method may be applied to other coupled van der Pol oscillators.

     

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