引用本文:王志中 ,张钟俊.非均匀采样系统的建模方法[J].控制理论与应用,1985,2(4):34~43.[点击复制]
Wang Zhizhong, Zhang Zhongjun.A METHOD FOR MODELLING NONUNIFORMLY SAMPLED SYSTEMS[J].Control Theory and Technology,1985,2(4):34~43.[点击复制]
非均匀采样系统的建模方法
A METHOD FOR MODELLING NONUNIFORMLY SAMPLED SYSTEMS
摘要点击 949  全文点击 375  投稿时间:1984-01-28  修订日期:1984-11-17
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DOI编号  
  1985,2(4):34-43
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英文关键词  
基金项目  
作者单位
王志中 ,张钟俊 上海交通大学 
中文摘要
      在非均匀采样系统建模过程中,由于数据稀疏,样本小。用通常的矩形或梯形法进行数值积分,将会引起较大的误差。本文导出了一种计算量小且有三次代数精度的数值积分法——加权重迭法,使我们能对非均匀采样系统建立起合适的数学模型。本文导出了对于非均匀采样系统进行参数估计的在线递推公式。本文的方法及讨论,对均匀采样系统建立连续数学模型也同样适用。此时计算将更为简单。
英文摘要
      In modelling a nonuniformly sampled with few and scattered input and output data,the method of the rectangle or the trapezoidal rule for numerical integration would lead to a considerable error. In this paper a new method for numerical intergration the weighed overlapping method is developed which has third order algebraic accuracy yet requires less calculation. Based upon this method, suitable models of nonuniformly sampled systems are obtained. A recursive algorithm for on-line modelling of such nonuniformly sampled systems id developed as well. The methods proposed in this paper are also suitable for establishing continuous models of uniformly sampled systems.