Theory of quotient space and its application in fault diagnosis
Yifang Huang · Journal of Lanzhou University of Technology · 2008
In order to solve the difficult problem of correct identification of rotor faults,the theory of quotient space and its application in rotor fault diagnosis were investigated,and an approach to feature extraction of rotor faults was presented based on fuzzy quotient space model.The normalized isosceles distance of original universe of discourse space X of rotor vibration signals was evaluated to trans form the space X into a rough granular universe [X],in which the fault features were investigated and the quotient structure [T] was taken as quantitative feature.The result showed that the difficulty of fault feature identication could be alleviated by means of granular space trans formation.The quotient space theory possesses an important application prospect for fault condition monitoring and fault diagnosis.