JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2017, Vol. 47 ›› Issue (5): 238-245.doi: 10.6040/j.issn.1672-3961.0.2017.184

Previous Articles     Next Articles

Fault diagnosis and fault tolerant control for non-Gaussian uncertain singular stochastic distribution control systems

SUN Yuancheng, YAO Lina*   

  1. School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, Henan, China
  • Received:2017-04-18 Online:2017-10-20 Published:2017-04-18

PDF (PC)

336

Abstract: A tracking controller was constructed to make the output PDF track the desired one before fault occurring. A robust fault diagnosis and fault tolerant tracking control algorithm of non-Gaussian uncertain singular stochastic distribution control systems with probability density function approximation error was proposed. A fault diagnosis observer was designed to estimate the fault information with the disturbance of uncertainty and probability density function approximation error. When the fault occurred, the tracking controller was reconfigured to ensure that the post-fault output probability density function still tracked the desired distribution. The Lyapunov stability theory was used to analyze the stability of the observation error dynamic system, the closed-loop system and the tracking error dynamic system, the gain matrices were obtained by solving the corresponding linear matrix inequalities. An illustrated example was given to demonstrate the effectiveness of the proposed algorithm for time-varying fault.

Key words: uncertainty, singular, fault diagnosis, stochastic distribution control systems, fault tolerant control

CLC Number: 

  • TP206+.3
[1] CHARALAMBOUS C D, LOGOTHETIS A. Maximum likelihood parameter estimation from incomplete data via the sensitivity equations: the continuous-time case[J]. IEEE Transactions on Automatic Control, 2000, 45:928-934.
[2] RICCARDO M, PAOLO F. A PLS-Based statistical approach for fault detection and isolation of robotic manipulators[J]. IEEE Transactions on Industrial Electronics, 2012, 59(8):3167-3175.
[3] CHEN R H, MINGORI D L, SPEYER J L. Optimal stochastic fault detection filter[J]. Automatica, 2003, 39:337-390.
[4] JIANG B, STAROSWIECKI V, COCQUEMPOT V. Fault accommodation for nonlinear dynamic systems[J]. IEEE Transactions on Automatic Control, 2006, 51(9):1578-1583.
[5] WANG H. Bounded dynamic stochastic systems: modeling and control[M]. London: Springer-Velar, 2000.
[6] WANG H. Minimum entropy control of non-Gaussian dynamic stochastic systems[J]. IEEE Transactions on Automatic Control, 2002,47(2):398-403.
[7] GUO L, WANG H. Stochastic distribution control systems design: a convex optimization approach[M]. London: Springer-Verlag, 2010.
[8] GUO L, WANG H. Fault detection and diagnosis for general stochastic systems using B-spline expansions and nonlinear filters[J].IEEE Trans Circuits Syst, 2005, 152(8):1644-1652.
[9] WANG, H. Minimum entropy control of non-Gaussian dynamic stochastic systems[J]. IEEE Transactions on Automatic Control, 2002, 47(2):398-403.
[10] YAO L N, QIN J F, WANG H, et al. Design of new fault diagnosis and fault tolerant control scheme for non-Gaussian singular stochastic distribution systems[J]. Automatica, 2012, 48(9): 2305-2313.
[11] YAO L N, QIN J F, WANG A P, et al. Fault diagnosis and fault-tolerant control for non-Gaussian non-linear stochastic systems using a rational square-root approximation model[J]. IET Control Theory and Applications, 2013, 7(1):116-124.
[12] SAOUDI D, CHADLI M BRAIEK N B. Fault tolerant control for uncertain fuzzy bilinear models[J]. IFAC-Papers On Line, 2015, 48(21):1256-1261.
[13] HAO L Y, YANG G H. Robust adaptive fault-tolerant control of uncertain linear systems via sliding-mode output feedback[J]. International Journal of Robust and Nonlinear Control, 2015, 25(14):2461-2480.
[14] WU L B, YANG G H. Robust adaptive fault-tolerant tracking control of multiple time-delays systems with mismatched parameter uncertainties and actuator failures[J]. International Journal of Robust and Nonlinear Control, 2015, 25(16):2922-2938.
[15] 陈莉,钟麦英.不确定奇异时滞系统的鲁棒H∞故障诊断滤波器设计[J].自动化学报,2008, 34(8):943-949. CHEN Li, ZHONG Maiying. Designing robust H∞ fault detection filter for singular time-delay systems with uncertainty[J]. Acta Automatica Sinica, 2008, 34(8):943-949.
[16] 高志峰,姜斌.一类参数不确定的线性时变系统的故障调节[J].系统工程与电子技术,2009, 31(12):2924-2928. GAO Zhifeng, JIANG Bin. Fault accommodation for a class of linear time varying systems with parametric uncertainties[J]. Journal of Systems Engineering and Electronics, 2009, 31(12):2924-2928.
[17] 陈海永,王宏.基于LMI的参数随机变化系统的概率密度函数控制[J]. 自动化学报,2007, 33(11):1216-1220. CHEN Haiyong, WANG Hong. PDF control of stochastic parameter system using linear matrix inequalities[J]. Acta Automatica Sinica, 2007, 33(11):1216-1220.
[18] ZHOU J L, LI G T, WANG H. Robust tracking controller design for non-Gaussian singular uncertainty stochastic distribution systems[J]. Automatica, 2014, 50(4):1296-1303.
[19] YAO L N, WANG H. Robust fault diagnosis for non-Gaussian stochastic systems based on the rational square-root approximation model[J]. Science in China, 2008, 51(9):1281-1290.
[20] SUN Y C, YAO L N. Robust fault diagnosis and fault-tolerant control for non-Gaussian uncertain stochastic distribution control systems[J]. International Journal of Robust and Nonlinear Control, 2017, 27(10):1709-1725.
[1] 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.
[2] ZHAO Yanxia, WANG Xizhao. Multipurpose zero watermarking algorithm for color image based on SVD and DCNN [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 25-33.
[3] 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.
[4] CHU Xiaodong, TANG Maosen, GAO Xu, LIU Weisheng, JIA Shanjie, LI Sun. Robust optimal dispatch of active distribution networks based on centralized information system [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(6): 20-25.
[5] 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.
[6] SONG Yang, ZHONG Maiying. Fault isolability analysis based on improved distance similarity [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 103-109.
[7] LI Wei, WANG Kehong, CAO Huichao. A fault filtering method based on an improved extended state filter for nonlinear system [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 7-14.
[8] 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.
[9] HUANG Chengkai, YANG Hao, JIANG Bin, CHENG Shuyao. Fault tolerant cooperative control for a class of complex networks [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 203-209.
[10] 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.
[11] 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.
[12] 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.
[13] LI Minghu, LI Gang, ZHONG Maiying. Application of dynamic kernel principal component analysis in unmanned aerial vehicle fault diagnosis [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 215-222.
[14] LIU Zhuo, WANG Tianzhen, TANG Tianhao, FENG Yefan, YAO Junqi, GAO Diju. A fault diagnosis and fault-tolerant control strategy for multilevel inverter [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 229-237.
[15] WU Jianping, JIANG Bin, LIU Jianwei. Fault diagnosis of asynchronous motor based on wavelet packet entropy and wavelet neural network [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 223-228.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of Journal of Shandong University (Engineering Science)
Supported by Beijing Magtech Co.Ltd