JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2017, Vol. 47 ›› Issue (5): 7-14.doi: 10.6040/j.issn.1672-3961.0.2017.173

Previous Articles     Next Articles

A fault filtering method based on an improved extended state filter for nonlinear system

LI Wei1,2, WANG Kehong1,2*, CAO Huichao1,2   

  1. 1.College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, Gansu, China;
    2. Key Lab of Advanced Control for Industrial Process in Gansu Province, Lanzhou 730050, Gansu, China
  • Received:2017-02-10 Online:2017-10-20 Published:2017-02-10

PDF (PC)

1135

Abstract: Aiming at the problem of the linearization error and filtering divergence for traditional fault diagnosis method of nonlinear system, a new fault diagnosis method was studied for a class nonlinear system with the measurement noise and actuator fault of time-varying. A new extended state including the nonlinear dynamic and fault of the system was constructed, and a class of the filter containing expansion stateis was constructed for fault diagnosis. The sufficient conditions of the augmented system were presented, meanwhile, the design method of the fault diagnosis filter with the robust H∞ performance was given. And the filter and diagnosis of the fault could be implemented by the fault isolation for the new extended state, among the known nonlinear dynamic of the original system. Based on the Van der pol oscillator that was typical nonlinear system with measurement noise, the simulation study for the constant value and time-varying failure condition was performed. The results showed that the proposed method could better solve noise filtering and the fault diagnosis problem of nonlinear systems.

Key words: extended state filter, measurement noise, fault isolation, nonlinear system, fault diagnosis

CLC Number: 

  • U226.8+1
[1] 张翼, 季海波, 王刚. 含有动态输入不确定性的随机非线性系统的鲁棒控制[J]. 中国科学技术大学学报, 2010, 40(8): 854-862. ZHANG Yi, JI Haibo, WANG Gang. Robust control of stochastic nonlinear systems with input dynamic uncertainties[J]. Journal of University of Science and Technology of China, 2010, 40(8): 854-862.
[2] KALMAN R E. A new approach to linear filtering and prediction problems[J]. Journal of Basic Engineering, 1960, 82(1): 35-45.
[3] CHETOUANI Y. Using the Kalman filtering for the fault detection and isolation(FDI)in the nonlinear dynamic processes[J]. International Journal of Chemical Reactor Engineering, 2008, 6(1): 226-237.
[4] JULIER S J, UHLMANN J K, DURRANT-WHYTE H F. A new approach for filtering nonlinear systems[C] //Proceedings of American Control Conference.Washington: IEEE, 1995: 1628-1632.
[5] GHESMAT M, KHALKHALI A. Design of a new nonlinear model predictive fault tolerant control system using multi-sensor data fusion technique based on UKF algorithm[J]. The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2015, 34(4): 1286-1301.
[6] MIRZAEE A, SALAHSHOOR K. Fault diagnosis and accommodation of nonlinear systems based on multiple-model adaptive unscented kalman filter and switched MPC and hinfinity loop-shaping controller[J]. Journal of Process Control, 2012, 22(3): 626-634.
[7] LIU Y, SUN D, CUI Y. Distributed fault detection for discrete-time nonlinear systems: An innovation-based approach[C] //Chinese Control Conference of 2011. Yantai, China: IEEE, 2011:4194-4199.
[8] ALKOV I, WEIDEMANN D. Fault detection with unscented kalman filter applied to nonlinear differential-algebraic systems[C] //Methods and Models in Automation and Robotics. Miedzyzdroje, Poland: IEEE, 2013: 166-171.
[9] GORDON N J, SALMOND D J, SMITH A F M. Novel approach to nonlinear/non-gaussian bayesian state estimation[J]. Radar & Signal Processing IEEE Proceedings F, 2002, 140(2):107-113.
[10] YIN S, ZHU X. Intelligent particle filter and its application to fault detection of nonlinear system[J]. Industrial Electronics, IEEE Transactions on, 2015, 62(6): 3852-3861.
[11] LI P, KADIRKAMANATHAN V. Particle filtering based likelihood ratio approach to fault diagnosis in nonlinear stochastic systems[J]. IEEE Transactions on Systems, Man and Cybernetics: Part C: Applications and Reviews, 2001, 31(3): 337-343.
[12] RIGATOS G G. Particle filtering for state estimation in nonlinear industrial systems[J]. Instrumentation and Measurement, 2009, 58(11): 3885-3900.
[13] 高志强. 自抗扰控制思想探究[J]. 控制理论与应用, 2013, 30(12): 1498-1510. GAO Zhiqiang. On the foundation of active disturbance rejection control[J]. Control Theory & Applications, 2013, 30(12): 1498-1510.
[14] GERMAIN G, JACQUES B, DENIS A. Robust stabilization of discrete-time linear systems with norm 2 bounded time varying uncertainty[J].Systems and Control Letters, 1994, 22(5):327-333.
[15] ZHOU Benchuan, CHENG Xianghong. Robust UKF algorithm in SINS initial alignment[J].Journal of Southest University(English edition), 2011, 27(1):56-60.
[16] JUTLEY J J, ACEVES A B. Spontaneous pt-symmetry breaking in nonlinearly coupled van der pol oscillators[J]. Studies in Applied Mathematics, 2016, 137(2):256-270.
[17] PARSHIN D V, UFIMTSEVA I V, CHEREVKO A A, et al. Differential properties of van der pol-duffing mathematical model of cerebrovascular haemodynamics based on clinical measurements[C] //All-Russian Conference on Nonlinear Waves:Theory and New Applications. Beijing: Institute of Computational Mathematics of Scientific, 2016, 722(1): 12-30.
[1] Haigen MIN,Yukun FANG,Xia WU,Wuqi WANG. Fault diagnosis of vehicle-to-vehicle communication in networked traffic environment [J]. Journal of Shandong University(Engineering Science), 2021, 51(6): 84-92.
[2] Chunrui CHENG,Beixing MAO. Adaptive sliding mode synchronization of a class of nonlinear chaotic systems [J]. Journal of Shandong University(Engineering Science), 2020, 50(5): 1-6.
[3] Jiachen WANG, Xianghong TANG, Jianguang LU. Research onfeature selection technology in bearing fault diagnosis [J]. Journal of Shandong University(Engineering Science), 2019, 49(2): 80-87.
[4] Xiaoqiang ZHU,Maiying ZHONG. Fault detection for unmanned aerial vehicle systems based on strong tracking H-/H∞ optimization [J]. Journal of Shandong University(Engineering Science), 2019, 49(1): 66-74.
[5] CHENG Xin, ZHANG Lin, HU Yefa, CHEN Qiang, LIANG Dian. Fault diagnosis of electromagnetic coil in active magnetic bearing based on current characteristics [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(4): 94-101.
[6] CHENG Xin, LIU Han, WANG Bo, LIANG Dian, CHEN Qiang. A fault-tolerant control architecture for active magnetic bearing based on dual core processor [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(2): 72-80.
[7] WANG Xiuqing, ZENG Hui, XIE Fei, LYU Feng. Fault diagnosis for manipulators based on Spiking neural networks [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 15-21.
[8] SONG Yang, ZHONG Maiying. Fault isolability analysis based on improved distance similarity [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 103-109.
[9] MAO Haijie, LI Wei, WANG Kehong, FENG Xiaolin. Sensor fault tolerant switch strategy for multi-motor synchronous system based on ADRC [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 64-70.
[10] CHEN Jie, ZHONG Maiying, ZHANG Ligang. Fault detection of unmanned aerial vehicle flight control system based on optimal estimation of the L2-norm [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 89-95.
[11] QIU Lu, YE Yinzhong, JIANG Chundi. Fault diagnostic method for micro-grid based on wavelet singularity entropy and SOM neural network [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 118-122.
[12] ZHAO Xuan, ZHONG Maiying, GUO Dingfei. Parity space-based fault detection for unmanned aerial vehicle flight control systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 150-156.
[13] XIE Xiaolong, JIANG Bin, LIU Jianwei, JIANG Yinhang. Fault diagnosis and fault tolerant control based on sliding mode observer for speed sensor in asynchronous motor [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 210-214.
[14] WANG Mengyuan, ZHANG Xiong, MA Liang, PENG Kaixiang. Fault diagnosis for industrial processes based on causal topological graph [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 187-194.
[15] SUN Yuancheng, YAO Lina. Fault diagnosis and fault tolerant control for non-Gaussian uncertain singular stochastic distribution control systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 238-245.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] KONG Xiang-zhen,LIU Yan-jun,WANG Yong,ZHAO Xiu-hua . Compensation and simulation for the deadband of the pneumatic proportional valve[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 99 -102 .
[2] YU Jia yuan1, TIAN Jin ting1, ZHU Qiang zhong2. Computational intelligence and its application in psychology[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 1 -5 .
[3] SUN Guohua, WU Yaohua, LI Wei. The effect of excise tax control strategy on the supply chain system performance[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 63 -68 .
[4] LIU Zhongguo,ZHANG Xiaojing,LIU Boqiang,LIU Changchun, . The development of ultrasonic characterization of the biological tissue elasticity[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(3): 34 -38 .
[5] . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 131 -136 .
[6] PAN Duo-tao,LIU Gui-ping,LIU Chang-feng . Screening of microbe producing flocculant and optimizationon its cultural conditions[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(3): 99 -103 .
[7] SUN Yuan-Yuan, XU Yan-Liang, TAO Zhi-Ning. Analysis and calculation of the braking force for a side magnetism brake single phase induction motor[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(5): 120 -123 .
[8] REN Jing-xi,GENG Jin-hua,GAO Qi-sheng . Quality optimization of the multifactor and multi-index product[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(3): 114 -117 .
[9] HU Hong-chun,WU Yao-hua,LIAO Li . Routing optimization for logistics distribution and its application[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(4): 104 -107 .
[10] ZHENG Hong-liang,KONG Fan-li,TIAN Xue-lei . The effect of composition on the latent heat of solidification for the Al-Cu alloy[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(2): 10 -12 .
Copyright 2018 © Editorial office of Journal of Shandong University (Engineering Science)
Supported by Beijing Magtech Co.Ltd