基于超椭球模型的T-S模糊因果图的故障分析  

Fault Analysis of T-S Fuzzy Causality Diagram under Hyper-spheroid Model

作　　者：吴成姚 王洪春 WU Cheng-yao;WANG Hong-chun(College of Mathematics,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《重庆工商大学学报（自然科学版）》2018年第6期27-33,共7页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家社科基金(13BTJ008)项目资助

摘　　要：研究了用区间数对T-S模糊因果图的故障诊断问题,同时考虑了基于超椭球模型对因果图的故障区间加以约束;首先,建立T-S模糊门,通过D-S理论建立适当的超椭球模型处理因果图中不确定性参量的取值范围和解决复杂系统的故障机理和多态性;其次,将超椭球模型转化成单位超椭球模型,在超椭球内产生均匀分布的随机数,对其进行均匀采样,从而得到了更加符合实际T-S规则的故障可能性区间概率;最后,利用Matlab进行数值模拟,证实了由超椭球模型所得结论的有效性;结果显示:超椭球模型能有效减缓因果图获取精确数据的难度,比区间模型下的范围对因果图更加具有可靠性和实际意义。The fault diagnosis problem of the T-S fuzzy Causality Graph with the interval number is studied,and the fault interval based on the hyper-ellipsoid model is considered to be constrained.First,the T-S fuzzy gate is set up,and a Hyper-ellipsoid model is established by D-S theory to deal with the range of uncertainty parameters in the Causality Graph,and to solve the fault mechanism and polymorphism of the complex system.Secondly,the Hyper-ellipsoid model is transformed into a unit Hyper-ellipsoid model,and the random number of the uniform distribution is produced in Hyper-ellipsoid model,and it is uniformly sampled,thus the probability of fault possibility interval which is more in line with the actual T-S rule is obtained.Finally,Matlab is used to carry out numerical simulation,which confirms the validity of the conclusion from the Hyper-ellipsoid model.Therefore,the Hyper-ellipsoid model can effectively slow down the difficulty of obtaining accurate data in the Causality Graph,which is more reliable and practical than the range model in the Causal Graph.

关 键 词：超椭球模型 T-S模糊门 因果图 

分 类 号：F252.1[经济管理—国民经济]