航空学报 > 1997, Vol. 18 Issue (6): 735-738

Levy 方法的改进

顾启泰, 刘学斌   

  1. 清华大学机械工程学院, 北京, 100084
  • 收稿日期:1996-12-05 修回日期:1997-03-26 出版日期:1997-12-25 发布日期:1997-12-25

IMPROVEMENT OF LEVY METHOD

Gu Qitai, Liu Xuebin   

  1. School of Mechanical Engineering, Tsinghua University, Beijing, 100084
  • Received:1996-12-05 Revised:1997-03-26 Online:1997-12-25 Published:1997-12-25

摘要:

由于Levy方法简化了指标函数,并采用经典的最小二乘法,用于估计系统传递函数的参数,受实验数据误差影响大。基于Levy方法但保持原来的指标函数,提出一种改进的增量迭代算法和正交最小二乘法,仿真结果表明,该算法具有良好的收敛性,并使系统参数估计精度较Levy方法有明显的提高。

关键词: 传递函数, 参数估计, 迭代算法, 正交最小二乘法

Abstract:

Since Levy Method simplifies the index function and applies the classical least squares approach, for the parameters used to estimate the system transfer function, the estimation precision is seriously affected by the error in the experimental data. Based on the Levy method but keeping the index function in its original form, this paper presents an improved incremental iterative algorithm and an orthogonal least squares approach. The simulation results show that the above algorithm has rather good convergence and the estimation precision of parameters is much improved compared with the Levy method.

Key words: transfer function, parameter estimation, iterative algorithm, orthogonal least squares approach

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