Fault On Diagnosis Method Based On The Spatial Geometry Theory

The goal of fault diagnosis is to judge whether the system running state is abnormal.First,we should test and determine the fault actually happened,and then use some related methods to implement fault diagnosis to make the known fault isolation realized,and ensure the fault will not disturb the system and can continue its stable operation.This article uses the space geometry theory to study the system fault,whose basic idea is to transform the system characteristics into space geometry characteristics,which can use the space projection algorithm to instead the complex matrix operations,the practice is to use the invisible subspace concept to build a residual set associated with fault signal,further,find the residual and the relationship among the fault signals then achieve diagnosis of the system fault.Basing on the space geometry theory,this article spread its research from fault diagnosis of joint system and time delay system's sensor to fault diagnosis of Markov jump systems' sensor.Generally speaking,Firstly,establish a fault model,and design the corresponding residual generator;And then get the corresponding filter parameters and accurate residual generator and its residual value;Finally,based on the residual signal and the relationship faults' characteristics,make it be sensitive to faults,while to other faults,with the input disturbance,complete the Markov jump system sensor failure and sensor failure in time delay system sensor fault detection and isolation.On this basis,the article mainly studies on the following three situations:1)Fault diagnosis problems about the joint system's sensor,here,we main consider fault diagnosis of joint system composed of multiple systems(use two systems as example),Make the joint system composed of two subsystems accompanied by measuring interference as an object,use the space geometry theory,design a residual generator.Through unobservable subspace segmentation and space projection algorithm to get the system parameters,generate corresponding residual set,namely achieve the corresponding relation between the residual and the fault,thus to realize fault diagnosis.2)Fault diagnosis problems about the time-delay system's sensor: For the fault of time delay system's sensor with disturbance problem,design residual generator based on the system demand,through the unobservable subspace and space projection algorithm,combined with the H_? optimization method to solve the residual generator parameters,get implementation of fault disturbance decoupling,which is only sensitive to the fault of the corresponding residual,namely realize certain corresponding relationship between fault set and residual set.Implement the sensor's fault diagnosis.3)Fault diagnosis problems about the Markov jump systems' sensor: By establishing a fault model the system,transit the sensor fault to the state equation,based on linear system theory,design the state observer,and on the basis of space geometry theory,combining the parameter optimization method to solve the system parameter,and get the corresponding relationship between residual signal and the fault characteristics,to realize the fault diagnosis system's sensor.