摘要
该文旨在通过低阶系统并联模型的阶跃响应曲线拟合逼近的方法来确定高阶线性时不变系统的数学模型。首先,分析出高阶线性时不变系统响应可由一阶系统和二阶系统之和等效;其次,利用典型环节各参数值对阶跃响应曲线影响的规律,通过改变并联模型的各参数值,以拟合曲线逼近实际的阶跃响应曲线,从而得到系统的模型;最后基于Matlab对辨识算法进行了仿真,验证了该辨识方法的可行性,并为进一步研究提出了建议。
The purpose of this paper is to calculate the mathematical model of high-order linear time-invariant system by using low-order system parallel model's step response curve to approximate the high-order linear time-invariant system's. Firstly,it is shown that the response of high order linear time-invariant systems can be equivalent to the sum of the first-order system and the second-order system. Secondly,the influence of the parameters of typical model on the step response curve is analyzed,and the model of the high-order system is obtained by changing the parameters of the first-order system and the second-order system to approximate their step response curve. Finally,the identification algorithm is simulated based on Matlab,which verifies the feasibility of the method,and the paper puts forward suggestions for further research.
引文
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