摘要
对于具有单值非线性元件的控制系统,采用改进了的计及各高次谐波的描述函数法进行分析。对于非线性元件的输入为单值而输出有多值的情况,令输入为正弦信号,输出包含各次谐波;对于非线性元件的输出为单值而输入有多值的情况,令输出为正弦信号,输入包含有各次谐波。对以上两种情况分别用计及高次谐波的描述函数法进行分析,从而得到了系统渐近稳定和产生自振的充分条件。
An improved describing-function method which takes into account the higher harmonics is applied to the analysis of nonlinear control system with singlevalued nonlinear element. If the nonlinear element has a single input and multiple output values, the input signal is taken to be sinusoidal and the outputs contain harmonics. If the nonlinear element has a single output and multiple input values, the output signal is taken to be sinusoidal and the inputs contain harmonics. For these two cases the improved describing function is used in analysis to obtain the sufficient conditions for asymptotic stability and for sustained oscillation.
