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Performance of the geometric approach to fault detection and isolation in SISO, MISO, SIMO and MIMO systems
作者姓名:RAHIMI  N  SADEGHI  M.  H.  MAHJOOB  M.J.
作者单位:Mechanical Engineering Department University of Tabriz,Tabriz 5166614766,Iran,Mechanical Engineering Department,University of Tabriz,Tabriz 5166614766,Iran,Mechanical Engineering Department,University of Tehran,Tehran 1439957113,Iran
摘    要:In this paper,a geometric approach to fault detection and isolation (FDI) is applied to a Multiple-Input Multi-ple-Output (MIMO) model of a frame and the FDI results are compared to the ones obtained in the Single-Input Single-Output (SISO),Multiple-Input Single-Output (MISO),and Single-Input Multiple-Output (SIMO) cases. A proper distance function based on parameters obtained from parametric system identification method is used in the geometric approach. ARX (Auto Regressive with eXogenous input) and VARX (Vector ARX) models with 12 parameters are used in all of the above-mentioned models. The obtained results reveal that by increasing the number of inputs,the classification errors reduce,even in the case of applying only one of the inputs in the computations. Furthermore,increasing the number of measured outputs in the FDI scheme results in decreasing classification errors. Also,it is shown that by using probabilistic space in the distance function,fault diagnosis scheme has better performance in comparison with the deterministic one.

关 键 词:故障检验  故障隔离  多元系统  线性回归  距离函数  系统辨识
修稿时间:2007-02-132007-06-17

Performance of the geometric approach to fault detection and isolation in SISO,MISO, SIMO and MIMO systems
RAHIMI N SADEGHI M. H. MAHJOOB M.J..Performance of the geometric approach to fault detection and isolation in SISO, MISO, SIMO and MIMO systems[J].Journal of Zhejiang University Science,2007,8(9):1443-1451.
Authors:Rahimi N  Sadeghi M H  Mahjoob M J
Institution:(1) Mechanical Engineering Department, University of Tabriz, Tabriz, 5166614766, Iran;(2) Mechanical Engineering Department, University of Tehran, Tehran, 1439957113, Iran
Abstract:In this paper,a geometric approach to fault detection and isolation (FDI) is applied to a Multiple-Input Multi-ple-Output (MIMO) model of a frame and the FDI results are compared to the ones obtained in the Single-Input Single-Output (SISO),Multiple-Input Single-Output (MISO),and Single-Input Multiple-Output (SIMO) cases. A proper distance function based on parameters obtained from parametric system identification method is used in the geometric approach. ARX (Auto Regressive with eXogenous input) and VARX (Vector ARX) models with 12 parameters are used in all of the above-mentioned models. The obtained results reveal that by increasing the number of inputs,the classification errors reduce,even in the case of applying only one of the inputs in the computations. Furthermore,increasing the number of measured outputs in the FDI scheme results in decreasing classification errors. Also,it is shown that by using probabilistic space in the distance function,fault diagnosis scheme has better performance in comparison with the deterministic one.
Keywords:Fault detection and isolation (FDI)  Multivariate systems  Parametric system identification  Linear regression  Distance functions
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