Robust Detection of Intermittent Faults of Linear Discrete-Time Stochastic Systems

Abstract

Abstract:

Abstract： In this paper, a robust detection method for intermittent faults (IFs) was proposed for a class of linear discrete-time stochastic systems, subject to unknown disturbances, process noises and measurement noises. A reduced-order unknown input observer was designed and a novel truncated residual was constructed by introducing a sliding time window, which is decoupled from the unknown disturbances, but sensitive to the IF. Two hypothesis tests were put forward to detect all the appearing time and the disappearing time of the IF, respectively. In addition, for the given false alarm rate and the missing detection rate, the detection thresholds for the appearing time and the disappearing time of the IF were rigorously designed for desired performances, respectively， and the detectability of the IF was also analyzed in a probabilistic sense. The simulation results on a satellite model were presented to verify the proposed method. The results illustrate that both the appearing time and the disappearing time of the IF can be detected fast and validly in spite of unknown disturbances.

Key words: intermittent fault (IF), robust detection, reduced-order unknown input observer, truncated residual signal

CLC Number:

TP 273

YAN Rongyia,HE Xiaoa,b,ZHOU Donghuaa,b. Robust Detection of Intermittent Faults of Linear Discrete-Time Stochastic Systems[J]. Journal of Shanghai Jiaotong University, 2015, 49(06): 812-818.

References

［1］周东华, 魏慕恒, 司小胜. 工业过程异常检测、寿命预测与维修决策的研究进展［J］. 自动化学报, 2013, 39(6): 711722.

ZHOU Donghua, WEI Muheng, SI Xiaosheng. A survey on anomaly detection, life prediction and maintenance decision for industrial processes［J］. Acta Automatica Sinica,2013,39(6):711722.

［2］周东华, 史建涛, 何潇. 动态系统间歇故障诊断技术综述［J］. 自动化学报, 2014, 40(2): 161171.

ZHOU Donghua, SHI Jiantao, HE Xiao. Review of intermittent fault diagnosis techniques for dynamic systems［J］. Acta Automatica Sinica,2014,40(2):161171.

［3］周东华, 胡艳艳. 动态系统的故障诊断技术［J］. 自动化学报, 2009, 35(6): 748758.

ZHOU Donghua, HU Yanyan. Fault diagnosis techniques for dynamic dystems［J］. Acta Automatica Sinica,2009,35(6):748758.

［4］李舜酩, 楚向磊. 新三态故障分类模型及其阈值确定［J］. 南京航空航天大学学报, 2008, 40(3): 292296.

LI Shunming, CHU Xianglei. New threestate partition of fault classification method and its threshold confirmation［J］. Journal of Nanjing University of Aeronautics and Astronautics,2008,40(3):292296.

［5］Alamuti M, Nouti H, Citic R M. Instantaneous energy density as a feature for gear fault detection［J］. IEEE Transactions on Power Delivery, 2012, 27(1): 96103.

［6］Bondavalli A, Chiaradonna S, Giandomenico F D, et al. Discriminating fault rate and persistency to improve fault treatment［C］∥In Proceedings of the 27th IEEE International Symposium on Fault Tolerant Computing. USA: IEEE, 1997: 354362.

［7］Gracia J, Saiz L, Baraza J C. Analysis of the influence of intermittent faults in a microcontroller［C］∥Proceedings of the 11th IEEE International Workshop on Design and Diagnostics of Electronic Circuits and Systems. USA: IEEE,2008: 227232.

［8］IEEE. The Authoritative Dictionary of IEEE Standards Terms ［M］. 7th Edition. USA: IEEE, 100, 2000.

［9］Correcher A, Garcia E, Morant F, et al. Intermittent failure diagnosis in industrial processes［C］∥Proceedings of 2003 IEEE International Symposium on Industrial Electronics USA: IEEE, 2003: 723728.

［10］Correcher A, García E, Morant F. Intermittent Failure dynamics characterization［J］. IEEE Trans on Reliability, 2012, 61(3): 649658.

［11］Chen M Y, Xu G B, Yan R Y, et al. Detecting scalar intermittent faults in linear stochastic dynamic systems［J］. International Journal of Systems Science, 2013, DOI:10.1080/00207721.2013.809612.

［12］Sorensen B, Kelly G, Sajecki A, et al. An analyzer for detecting intermittent faults in electronic devices［C］∥Proceedings of IEEE Systems Readiness Technology Conference on ‘Cost Effective Support into the Next Century’. USA: IEEE, 1994: 417421.

［13］Patton R, Chen J, LopezToribio C. Fuzzy observers for nonlinear dynamic systems fault diagnosis［C］∥Proceedings of the 37th IEEE Conference on Decision and Control. USA: IEEE, 1998: 8489.

［14］Kudva P, Viswanadiham N, Ramakrishna A. Observers for linear systems with unknown inputs［J］. IEEE Transactions on Automatic Control, 1980, 25(1): 113115.

［15］Castillo A, Zufiria P J. Fault detection schemes for continuoustime stochastic dynamical systems［J］. IEEE Transactions on Automatic Control, 2009, 54(8): 18201836.

［16］Meskin N, Khorasani K. Fault detection and isolation of discretetime Moakovian jump linear systems with application to a network of multiagent systems having imperfect communication channels［J］. Automatica, 2009, 45(9): 20322040.

[1]	ZHAO Ziren1, DU Shichang1, HUANG Delin1, REN Fei2, LIANG Xinguang2. Modelling and Bottleneck Analysis of Product Quality in Transient Phase#br# of MultiStage Manufacturing Systems Based on Markovian Chains [J]. Journal of Shanghai Jiao Tong University, 2017, 51(10): 1166-1173.
[2]	ZHOU Penghui, MA Hongzhan, CHEN Dongping, CHEN Mengyue, CHU Xuening. Identification of Product Redesign Modules Based on#br# Fuzzy Random Failure Mode and Effects Analysis [J]. Journal of Shanghai Jiao Tong University, 2017, 51(10): 1189-1195.
[3]	LI Changxi1, 2, ZHOU Yan1, LIN Han3, LI Lingzhi1, GUO Ge1. TemporalSpatial Sequential Fusion Recognition Method of#br# Ballistic Missile Target Based on MIMOFNN Model [J]. Journal of Shanghai Jiao Tong University, 2017, 51(9): 1138-.
[4]	FENG Mingyue, HE Minghao, HAN Jun, YU Chunlai. High Resolution Direction of Arrival Estimation Based on#br# Covariance Fitting Estimation of Signal Parameters by#br# Rotational Invariance Technique Algorithm [J]. Journal of Shanghai Jiao Tong University, 2017, 51(9): 1145-.
[5]	?YANG Ping1,SHENG Jie1,WANG Yucheng2,LI Zhuyong1,JIN Zhijian1,HONG Zhiyong1. Quench Propagation Characteristics Influenced by NonUniform Properties of YBa2Cu3O7δ High Temperature Superconducting Tape [J]. Journal of Shanghai Jiaotong University, 2017, 51(9): 1090-1096.
[6]	WANG Xing, ZHOU Yipeng, TIAN Yuanrong, CHEN You, ZHOU Dongqing, HE Jiyuan. Sparse Decomposition for Frequency Modulation Radar Signal Based on#br# Advanced Genetic Algorithm and SinChirplet Atom [J]. Journal of Shanghai Jiao Tong University, 2017, 51(9): 1124-1130.
[7]	ZHANG Liangjun1, 2, LI Xiaoci1, WU Jingyi1, CAI Aifeng1. ThermalStructure Coupling Analysis of #br# Microgravity Environment Simulation Suspension Structure for #br# Large Space Deployable Mechanisms [J]. Journal of Shanghai Jiao Tong University, 2017, 51(8): 954-961.
[8]	XIA Hailiang1, 2, LIU Yakun1, 2, LIU Quanzhen3, LIU Baoquan3, FU Zhengcai1, 2. Metal Ablation Affected by Electrode Shapes Under#br# Long Continuing Lightning Current [J]. Journal of Shanghai Jiao Tong University, 2017, 51(8): 903-908.
[9]	LIN Da, ZHU Yijia, WEI Xiaodong, WANG Zhiyu, ZHANG Wugao. Combustion and Particle Emission Characteristics Affected by#br# Fuel Supply Parameters for a Diesel Engine Fuelled with#br# Polyoxymethylene Dimethyl Ethers/Diesel [J]. Journal of Shanghai Jiao Tong University, 2017, 51(7): 787-795.
[10]	GU Jiayang, XIE Yulin, TAO Yanwu, HUANG Xianghong, WU Jie. Numerical Simulation and Experimental Study on VortexInduced#br# Motion of a New Type of Floating Drilling Production Storage Offloading [J]. Journal of Shanghai Jiao Tong University, 2017, 51(7): 878-885.
[11]	MENG Qingyang1, YAN Weiwu1, HU Yong1, CHENG Jianlin1, CHEN Shihe2, ZHANG Xi2. Model Identification Based on Subspace Model Identification of#br# Superheated Steam System in UltraSupercritical CoalFired Power Unit [J]. Journal of Shanghai Jiao Tong University, 2017, 51(6): 672-678.
[12]	JIANG Huajuna, CAI Yana, b, LI Chaohaoa, LI Fanga, b, HUA Xueminga, b. Recognition Method for Gas Pores on XRay Image of Lap Joints#br# Based on the Improved Sobel Algorithm [J]. Journal of Shanghai Jiao Tong University, 2017, 51(6): 665-671.
[13]	DONG Guanhua,YIN Qin,YIN Guofu,XIANG Zhaowei. Identification and Modeling of Coupling Dynamic Stiffness in Joints of Machine Tool [J]. Journal of Shanghai Jiaotong University, 2015, 49(09): 1263-1434.
[14]	XIE Qijiang,YU Haidong. Coupling Relationship Between Loads on Cutterhead of Tunnel Boring Machine and Contact Stiffness of Gripper Shoes and Rocks [J]. Journal of Shanghai Jiaotong University, 2015, 49(09): 1269-1275.
[15]	ZHONG Jianlin1,MA Dawei1,REN Jie1,LI Shijun2,WANG Xu3. Static Compression Analysis of Rubber Hollow Cylinder Based on Plane Strain Assumption [J]. Journal of Shanghai Jiaotong University, 2015, 49(09): 1276-1280.