引用本文:吴学森 ,丁文镜.估计传递函数参数的误差校正法*[J].控制理论与应用,1990,7(3):12~18.[点击复制]
Wu Shuesen, Ding Wenjing.Error-correction Algorithm for Estimating Transfer Function Parameters[J].Control Theory and Technology,1990,7(3):12~18.[点击复制]
估计传递函数参数的误差校正法*
Error-correction Algorithm for Estimating Transfer Function Parameters
摘要点击 1239  全文点击 458  投稿时间:1988-08-26  修订日期:1989-09-30
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DOI编号  
  1990,7(3):12-18
中文关键词  参数估计  传递函数  误差校正
英文关键词  parameter estimation  transfer function  error-correction
基金项目  
作者单位
吴学森 ,丁文镜 清华大学工程力学系 
中文摘要
      本文提出一种称为误差校正法的估计传递函数参数的方法。建立了目标函数与传递函数参数及其最小二乘估值偏差间的函数关系,在完成最小二乘估计的基础上,通过连续修正,使传递函数估值精度得到提高。算例表明,该法比普通最小二乘法和广义最小二乘法的精度高,而且,比广义最小二乘法收敛得快。
英文摘要
      This paper presents an algorithm which is called error-correction method for estimating the parameters of system transfer function. The relation between cost function and transfer function parameters and their estimation errors is defined at first. Then the formula of the errors of estimated parameters is deduced with least squares estimation. The estimation precision of transfer function parameters can be improved by successive correction. A computational example indicates that the error-correction method is better that LS methods and GLS method as far as the precision of estimation is concerned. Moreover, its convergence rate is obviously higher than that of GLS method.