Fault diagnosis of particle filter nonlinear systems based on adaptive threshold
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摘要: 针对实际非线性系统传统方法难以实现可靠故障诊断的问题,采用粒子滤波算法,利用对数似然函数和作为评价指标,并借助自适应阈值的设计,研究了非线性非高斯系统的故障检测和故障隔离。阈值的选取,是准确判别系统是否发生故障的标准,本文通过分析非线性系统残差的统计特性,在判定残差统计特性成正态分布的基础上,设计了一种基于粒子滤波故障诊断的自适应阈值方法,减少了故障诊断的漏报和误报。通过非恒温连续搅拌水箱式反应堆的仿真实例,验证了该方法在故障诊断中的准确性和有效性。Abstract: In view of the problem of actual nonlinear system that the traditional method is difficult to obtain reliable fault diagnosis, this paper uses the particle filter method and applies the logarithm likelihood function as evaluation index to study the nonlinear non-Gaussian system fault detection and fault isolation with the aid of adaptive threshold design. The selection of threshold value is the criterion for accurately judging system failure. This paper analyzes the statistical properties of residual error, determines the residual error statistical property of normal distribution, and designs an adaptive threshold method based on particle filter fault diagnosis, which reduce the miss alarm and false alarm ratios of fault diagnosis. Through the simulation example of non-constant temperature continuous stirred tank reactor, the accuracy and feasibility of this method in fault diagnosis are verified.
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Key words:
- adaptive threshold /
- particle filter /
- fault diagnosis /
- false alarm ratio /
- miss alarm ratio /
- normal distribution /
- nonlinear system
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[1] GERTLER J J.Fault detection and diagnosis in engineering systems[M].New York:Marcel Dekker,Inc.,1998:36-58. [2] GHANTASALA S,EL-FARRA N H.Robust actuator fault isolation and management in constrained uncertain parabolic PDE systems[J].Automatica,2009,45(10):2368-2373. [3] FENG K,JIANG Z,HE W.Rolling element bearing fault detection based on optimal antisymmetric real Laplace wavelet[J].Measurement,2011,44(9):1582-1591. [4] TAFAZOLI S,SUN X.Hybrid system state tracking and fault detection using particle filters[J].IEEE Transactions on Control Systems Technology,2006,14(6):1078-1087. [5] MICHELE C,PIERO B,PIETRO T,et al.Interacting multiple-models,state augmented particle filtering for fault diagnostics[J].Probabilistic Engineering Mechanics,2015,40:12-24. [6] 杜京义,殷梦鑫.一种改进的粒子滤波算法应用于故障诊断[J].系统仿真学报,2014,26(1):62-66.DU J Y,YIN M X.Improved algorithm of particle filter applied to fault diagnosis[J].Journal of System Simulation,2014,26(1):62-66(in Chinese). [7] ZHANG B,SCONYERS C,BYINGTON C,et al.A probabilistic fault detection approach:Application to bearing fault detection[J].IEEE Transactions on Industrial Electronics,2011,58(5):2011-2018. [8] WEI T,HUANG Y,CHEN C.Adaptive sensor fault detection and identification using particle filter algorithms[J].IEEE Transactions on Systems,Man,and Cybernetics,Part C:Applications and Reviews,2009,39(2):201-213. [9] MICHAL Z.Online fault detection of a mobile robot with a parallelized particle filter[J].Neurocomputing,2014,126:151-165. [10] TADIC' P,DUROVIC' Z.Particle filtering for sensor fault diagnosis and identification in nonlinear plants[J].Journal of Process Control,2014,24(4):401-409. [11] CHEN C C,GEORGE V C,MARCOS E.Machine remaining useful life prediction:An integrated adaptive neuro-fuzzy and high-order particle filtering approach[J].Mechanical Systems and Signal Processing,2012,28:597-607. [12] YU J.A particle filter driven dynamic Gaussian mixture model approach for complex process monitoring and fault diagnosis[J].Journal of Process Control,2012,22(4):778-788. [13] VICENC P,SAUL M D,JOAQUIM B.Adaptive threshold generation in robust fault detection using interval models:Time-domain and frequency-domain approaches[J].Interational Journal of Adaptive Control and Signal Process,2013,27(10):873-901. [14] JOHNSON A L.A new algorithm for adaptive threshold generation in robust fault detection based on a sliding window and global optimization[C]//Proceedings of European Control Conference 1999,ECC'99.Piscataway,NJ:IEEE Press,1999:1546-1551. [15] JOHANSSON A,BASK M,NORLANDER T.Dynamic threshold generators for robust fault detection in linear systems with parameter uncertainty[J].Automatica,2006,42(7):1095-1106. [16] DING X,FRANK P M.Frequency domain approach and threshold selector for robust model-based fault detection and isolation[C]//IFAC/IMACS Symposium on Fault Detection, Supervision and Safety for Technical Processes-SAFEPROCESS'91.Tarrytown,NY:Pergamon Press Inc.,1992:271-276. [17] RAMBEAUX F,HAMELIN F,SAUTER D.Optimal thresholding for robust fault detection of uncertain systems[J].International Journal of Robust and Nonlinear Control,2000,10(4):1155-1173. [18] GORDON N J,SALMOND D J,SMITH A F M.Novel approach to nonlinear/non-Gaussian Bayesian state estimation[J].IEEE Proceedings on Radar and Signal Processing,1993,140(2):107-113. [19] ALROWAIE F,GOPALUNI R,KWOK K.Fault detection and isolation in stochastic non-linear state-space models using particle filters[J].Control Engineering Practice,2012,20(10):1016-1032. [20] BHATTACHARYA R,WAYMIRE E C.Stochastic processes with applications[M].New York:Wiley,1990:40-55. [21] SHI Z,GU F,LENNOX B,et al.The development of an adaptive threshold for model-based fault detection of a nonlinear electro-hydraulic system[J].Control Engineering Practice,2005,13(11):1357-1367. [22] KADIRKAMANATHAN V.Particle filtering-based fault detection in non-linear stochastic systems[J].International Journal of Systems Science,2002,33(4):259-265.
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