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某随动系统动态模型相关—最小二乘辨识

DYNAMIC MODEL IDENTIFICATION OF A SERVO SYSTEM BY CORRELATION-LEAST SQUARES

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【作者】 冯雅君; 彭志瑾;

【Author】 Feng Yajun, Pen Zijin (Bejing Institude of Technology)

【机构】 北京工业学院; 北京工业学院;

【摘要】 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。

【Abstract】 In this paper, an on-line identification for a servo system performed with a Pseudo - Random Signal-Correlation Analyzer is introduced. The identified nonparametric models are in the form of impulse response. Based on the impulse response func-tions, the parametric models represented by difference epuations are then obtained by least squares. The transfer function models describing the continuous system are finally obtained by using bilinear Z-transform.The simulated step - response of the dynamic models are compared with the real ones. The results of them are shown to be basically identical.

  • 【文献出处】 控制理论与应用 ,Control Theory & Applications , 编辑部邮箱 ,1986年03期
  • 【被引频次】1
  • 【下载频次】89
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