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本文应用相关仪对某随动系统进在线辨识,得到系统的非参数模型——脉冲涵数,在此基础上利用最小二乘法拟合成参数模型—系统的差分方程。通过双线性z变换,变换为连续数学模型——传递函数,并做阶跃响应检验,辨识得到的系统动态模型的阶跃响应与实际系统的阶跃响应基本一致。在随机干扰作用下,由此方法得到的动态模型较频率测试法或理论分析的结果更为精确。
In this paper, a correlation system is used to online identify a certain follow-up system, and the non-parametric model of the system is obtained, which is the pulse culvert. Based on this, the least square method is used to fit the parameter model-system difference equation. Through the bilinear z-transform, it is transformed into a continuous mathematical model - transfer function, and step response test is performed. The step response of the system dynamic model identified is basically the same as the step response of the actual system. Under the random disturbance, the dynamic model obtained by this method is more accurate than the frequency test or theoretical analysis.