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基于调制函数法的线性连续动力学系统参数模型估计
引用本文:贺尚红,钟掘.基于调制函数法的线性连续动力学系统参数模型估计[J].机械工程学报,2003,39(12):129-134.
作者姓名:贺尚红  钟掘
作者单位:1. 长沙理工大学汽车与机械工程学院,长沙,410076
2. 中南大学
基金项目:国家自然科学基金(59835170),湖南省教育厅青年基金(02B032)
摘    要:提出了构造单分辨和多分辨高斯调制函数的新思路。基于数字积分原理,推导了调制积分滤波器的结构,得到直接以线性连续系统模型参数表示的等价辨识模型。利用离散模型辨识的研究成果,建立了连续动力学系统模型参数直接估计的最小二乘法和辅助变量法。研究了调制滤波器参数与辨识精度的关系,并以此得到调制函数参数的设计依据。成功辨识了某轧机液压AGC压力闭环系统的连续动力学参数模型,验证了方法的正确性。

关 键 词:参数估计  连续时间系统  调制函数  高斯函数  液压AGC
修稿时间:2003年2月11日

PARAMETER ESTIMATION OF LINEAR CONTINUOUS-TIME DYNAMIC SYSTEM USING MODULATING FUNCTIONS METHOD
He Shanghong.PARAMETER ESTIMATION OF LINEAR CONTINUOUS-TIME DYNAMIC SYSTEM USING MODULATING FUNCTIONS METHOD[J].Chinese Journal of Mechanical Engineering,2003,39(12):129-134.
Authors:He Shanghong
Affiliation:He Shanghong (Changsha University of Science and Technology) Zhong Jue (Central South University)
Abstract:A method for construction of single resolution and multiresolution modulating functions is proposed. Based on numerical integration rule, the structure of modulating filter is obtained. Using numerical modulating integration filters, an identification model that is parameterized directly in continuous-time model parameters is given. By applying the results from discrete-time model identification with the deriv identification model, a least-squares algorithm and an instrumental variable(IV) method for identification of continuous-time dynamic system are formulated. The relationship between the accuracy of identification and the parameter of modulating filter is investigated, and some tips about gaussian wavelet modulating function are outlined. Finally, the methods are applied to identification of dynamic model of HAGC of a cold mill to confirm the theoretical results.
Keywords:Parameter estimation Continuous-time system Modulating functions Gaussian function Hydraulic AGC
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