引用本文:王宏伟,于双和.基于目标函数的模糊模型一体化建模[J].控制理论与应用,2010,27(4):523~526.[点击复制]
WANG Hong-wei,YU Shuang-he.An integrated modeling algorithm of fuzzy model using objective function[J].Control Theory and Technology,2010,27(4):523~526.[点击复制]
基于目标函数的模糊模型一体化建模
An integrated modeling algorithm of fuzzy model using objective function
摘要点击 1649  全文点击 1275  投稿时间：2008-07-08  修订日期：2009-05-24
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DOI编号  
  2010,27(4):523-526
中文关键词  模糊模型  GK模糊聚类  目标函数  UD矩阵分解
英文关键词  fuzzy model  GK fuzzy clustering  objective function  UD matrix decomposition
基金项目  An integrated modeling algorithm of fuzzy model using objective function
作者单位E-mail
王宏伟* 大连理工大学 控制科学与工程学院 wanghw@dlut.edu.cn 
于双和 大连海事大学 自动化与电气学院  
中文摘要
      基于模糊集合的模糊模型, 利用模糊推理规则描述复杂、病态、非线性系统是一种有效方法. 本文提出了利用目标函数确定非线性系统的结构和参数的方法. 首先, 通过Gustafson-Kessel(GK)模糊聚类确定模型结构. 然后, 通过目标函数与参数估计一起进行递推计算, 进而实现对模糊模型结构简化, 删除冗余规则. 结构确定过程中采用了UD矩阵分解方法, 大大降低了计算量. 仿真结果证明了提出方法的有效性.
英文摘要
      For dynamic systems with complex, ill-conditioned or nonlinear characteristics, the fuzzy modeling method based on fuzzy sets is very effective to describe the properties of the systems. By using objective function, we propose a new algorithm to confirm the structure and parameters of fuzzy model for nonlinear systems. First, the structure of fuzzy model is confirmed by using Gustafson-Kessel(GK) fuzzy clustering; and then, the objective function and parameter estimation are simultaneously employed in recursive calculations to simply the model structure and delete redundant rules. The UD matrix decomposition is used to reduce the amount of computation in the determination process of fuzzy model. The simulation results demonstrate the effectiveness of the proposed method.