分布参数系统的模糊插值推理建模  

Fuzzy interpolation inference modeling of distributed parameter system

作　　者：杨文光 韩元良 王清 高艳辉 YANG Wenguang;HAN Yuanliang;WANG Qing;GAO Yanhui(College of Science, North China Institute of Science and Technology, Sanhe 065201, China)

机构地区：[1]华北科技学院理学院,河北三河065201

出　　处：《安徽大学学报（自然科学版）》2021年第2期11-16,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11801173,11702094);中央高校基本科研业务费资助项目(3142017075,3142016023);华北科技学院概率论与数理统计校级重点学科资助课题(06DV09)。

摘　　要：通过T-S模糊系统与HX方法结合,设计分布参数系统的分片T-S型模糊插值推理建模法,给出了算法的实现步骤.T-S型模糊插值推理建模法可以利用有限采样数据信息,反映分布参数系统时空规律.该建模方法满足插值机理,参数易求.理论分析与仿真实验均验证了方法的有效性,表明算法建模精度较高,运行时间较短.Through the combination of T-S fuzzy system and HX method,the fuzzy interpolation inference modeling of piecewise T-S for distributed parameter system was proposed,and the algorithm implementation steps were given.Fuzzy interpolation inference modeling of T-S could take advantage of the limited sampling data to reflect the spatial and temporal variation of distributed parameter systems.The modeling approach satisfied the interpolation mechanism,and the parameter was easy to calculate.The theoretical analysis and the simulation results verified the validity of the method,and showed that the algorithm modeling precision was high,and the operation time was short.

关 键 词：分布参数系统 抛物型方程 模糊推理建模 分片插值 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]