A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 6 Issue 3
May  2019

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 6.171, Top 11% (SCI Q1)
    CiteScore: 11.2, Top 5% (Q1)
    Google Scholar h5-index: 51, TOP 8
Turn off MathJax
Article Contents
Meng Zhou, Zhengcai Cao and Ye Wang, "Robust Fault Detection and Isolation Based on Finite-frequency H−/H∞ Unknown Input Observers and Zonotopic Threshold Analysis," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 750-759, May 2019. doi: 10.1109/JAS.2019.1911492
Citation: Meng Zhou, Zhengcai Cao and Ye Wang, "Robust Fault Detection and Isolation Based on Finite-frequency H/H Unknown Input Observers and Zonotopic Threshold Analysis," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 750-759, May 2019. doi: 10.1109/JAS.2019.1911492

Robust Fault Detection and Isolation Based on Finite-frequency H/H Unknown Input Observers and Zonotopic Threshold Analysis

doi: 10.1109/JAS.2019.1911492
Funds:  This work was partially supported by National Key R&D Program of China (2018YFB1304600), National Natural Science Foundation of China (51805021, U1813220), China Postdoctoral Science Foundation Grant (2018M631311), and the Fundamental Research Funds for the Central Universities (XK1802-4)
More Information
  • This work proposes a robust fault detection and isolation scheme for discrete-time systems subject to actuator faults, in which a bank of H/H fault detection unknown input observers (UIOs) and a zonotopic threshold analysis strategy are considered. In observer design, finite-frequency H index based on the generalized Kalman-Yakubovich-Popov lemma and H technique are utilized to evaluate worst-case fault sensitivity and disturbance attenuation performance, respectively. The proposed H/H fault detection observers are designed to be insensitive to the corresponding actuator fault only, but sensitive to others. Then, to overcome the weakness of predefining threshold for FDI decision-making, this work proposes a zonotopic threshold analysis method to evaluate the generated residuals. The FDI decision-making relies on the evaluation with a dynamical zonotopic threshold. Finally, numerical simulations are provided to show the feasibility of the proposed scheme.

     

  • loading
  • [1]
    K. Zhang, B. Jiang, and P. Shi, Observer-based Fault Estimation and Accommodation for Dynamic Systems, Springer Heidelberg New York, London, 2013.
    [2]
    Y. Zhang, Z. D. Wang, and F. E. Alsaadi, " Detection of intermittent faults for nonuniformly sampled multi-rate systems with dynamic quantisation and missing measurements,” Int. J. Control, DOI: 10.1080/00207179.2018.1487083.
    [3]
    Y. Y. Li, H. R. Karimi, M. Y. Zhong, S. X. Ding, and S. Liu, " Fault detection for linear discrete time-varying systems with multiplicative noise: the finite-horizon case,” IEEE Trans. Circuits Syst., vol. 65, no. 10, pp. 3492–3505, Oct. 2018. doi: 10.1109/TCSI.2018.2832229
    [4]
    J. Q. Yang, F. L. Zhu, X. Wang, X. H. Bu, " Robust sliding-mode observerbased sensor fault estimation, actuator fault detection and isolation for uncertain nonlinear systems,” Int. J. Control Autom. Syst., vol. 13, no. 5, pp. 1037–1046, Oct. 2015. doi: 10.1007/s12555-014-0159-4
    [5]
    Z. X. Zhang, H. Y. Li, C. W. Wu, and Q. Zhou, " Finite frequency fuzzy H control for uncertian active suspension systems with sensor failure,” IEEE/CAA J. Autom. Sinica, vol. 5, no. 4, pp. 777–786, Jul. 2018. doi: 10.1109/JAS.2018.7511132
    [6]
    H. F. Tao, D. P. Chen, and H. Z. Yang, " Iterative learning fault diagnosis algorithm for non-uniform sampling hybrid system,” IEEE/CAA J. Autom. Sinica, vol. 4, no. 3, pp. 534–542, Jul. 2017. doi: 10.1109/JAS.2016.7510052
    [7]
    J. Q. Yang, Y. T. Chen, F. L. Zhu, and F. Z. Wang, " Simultaneous state and output disturbance estimations for a class of switched linear systems with unknown input,” Int. J. Syst. Science, vol. 48, no. 1, pp. 22–33, 2017. doi: 10.1080/00207721.2016.1144227
    [8]
    K. Zhang, G. S. Liu, B. Jiang, " Robust unknown input observer-based fault estimation of leader-follower linear multi-agent systems,” Circuits Syst. Signal Process, vol. 36, no. 2, pp. 525–542, Feb. 2017. doi: 10.1007/s00034-016-0313-8
    [9]
    Y. Liu, Z. D. Wang, D. H. Zhou, " State estimation and fault reconstruction with integral measurement under partially decoupled disturbances,” IET Control Theory Appl., vol. 12, no. 10, pp. 1520–1526, Apr. 2018.
    [10]
    J. Liu, J. L. Wang, and G. H. Yang, " An LMI approach to minimum sensitivity analysis with application to fault detection,” Automatica, vol. 41, no. 11, pp. 1995–2004, Nov. 2005. doi: 10.1016/j.automatica.2005.06.005
    [11]
    K. Zhang, B. Jiang, P. Shi and J. F. Xu, " Analysis and design of robust H fault estimation observer with finite frequency specifications for discrete-time fuzzy systems,” IEEE Trans. Cybern., vol. 45, no. 7, pp. 1225–1235, Jul. 2015. doi: 10.1109/TCYB.2014.2347697
    [12]
    T. Iwasaki and S. Hara, " Generalized KYP Lemma: unified frequency domain inequalities with design applications,” IEEE Trans. Autom. Control, vol. 50, no. 1, pp. 41–59, Jan. 2005.
    [13]
    H. Wang, G. H. Yang, " A finite frequency domain approach to fault detection observer design for linear continuous-time systems,” Asian Journal of Control, vol. 10, no. 5, pp. 1–10, 2008.
    [14]
    H. Wang and G. H. Yang, " A finite frequency domain approach to fault detection for linear discrete-time systems,” Int. J. Control, vol. 81, no. 7, pp. 1162–1171, 2008. doi: 10.1080/00207170701691513
    [15]
    D. W. Ding and G. H. Yang, " Fuzzy filter design for nonlinear systems in finite frequency domain,” IEEE Trans. Fuzzy Syst., vol. 10, no. 5, pp. 935–945, Oct. 2010.
    [16]
    X. J. Li and G. H. Yang, " Fault detection in finite frequency domain for Takagi-Sugeno fuzzy systems with sensor faults,” IEEE Trans. Cybern., vol. 44, no. 8, pp. 1446–1458, Aug. 2014. doi: 10.1109/TCYB.2013.2286209
    [17]
    J. L. Chen, Y. Y. Cao, and W. D. Zhang, " A fault detection observer design for LPV systems in finite frequency domain,” Int. J. Control, vol. 88, no. 3, pp. 571–584, 2015. doi: 10.1080/00207179.2014.966326
    [18]
    D. Huang, Z. S. Duan and Y. Q. Hao, " An iterative approach to H/H fault detection observer design for discrete-time uncertain systems,” Asian J. Control, vol. 19, no. 1, pp. 188–201, 2017. doi: 10.1002/asjc.v19.1
    [19]
    Z. H. Wang, P. Shi, and C. C. Lim, " H/H fault detection observer in finite frequency domain for linear parameter-varying descriptor systems,” Automatica, vol. 86, pp. 38–45, Dec. 2017. doi: 10.1016/j.automatica.2017.08.021
    [20]
    S. C. Jee and H. J. Lee, " H/H fault detection and isolation for nonlinear systems with state delay in T-S form,” J. Franklin Inst., vol. 353, no. 9, pp. 2030–2056, Jun. 2016. doi: 10.1016/j.jfranklin.2015.11.008
    [21]
    M. Zhou, Z. H. Wang and Y. Shen, " Fault detection and isolation method based on H/H unknown input observer design in finite frequency domain,” Asian J. Control, vol. 19, no. 5, pp. 1–14, Sept. 2017.
    [22]
    S. X. Ding, Model-based Fault Diagnosis Techniques, London, Heidelberg New York, Springer, 2013.
    [23]
    Y. Zhang, Z. D. Wang, L. F. Ma and F. E. Alsaadi, " Annulus-eventbases fault etection, isolation and estimation for multi-rate time-varying systems: Applications to a three-tank system,” J. Process Control, vol. 75, pp. 48–58, Mar. 2019. doi: 10.1016/j.jprocont.2018.12.005
    [24]
    C. Combaste and Q. H. Zhang, " Robust fault diagnosis based on adaptive estimation and set-membership computations,” Fault Detection, Supervision and Safety of Technical Processes, vol. 39, no. 13, pp. 1204–1209, Aug. 2006.
    [25]
    V. T. H. Le, C. Stoica, T. Alamo, E. F. Camacho, D. Dumur, Zonotopes From Guaranteed State-Estimation to Control, Great Britain, Unite States, John Wiley & Sons, Inc, 2013.
    [26]
    T. Alamo, J. M. Bravo, M. J. Redondo and E. F. Camacho, " A setmembership state estimation algorithm based on DC programming,” Automatica, vol. 44, no. 1, pp. 216–224, Jan. 2008. doi: 10.1016/j.automatica.2007.05.008
    [27]
    C. Combastel, " Zonotopes and Kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence,” Automatica, vol. 55, pp. 265–273, May 2015. doi: 10.1016/j.automatica.2015.03.008
    [28]
    F. Xu, V. Puig, C. Ocampo-Martinez, F. Stoican and S. Olaru, " Actuatorfault detection and isolation based on set-theoretic approaches,” J. Process Control, vol. 24, no. 6, pp. 947–956, Jun. 2014. doi: 10.1016/j.jprocont.2014.04.016
    [29]
    M. Rodrigues, M. Sahnoun, D. Theilliol and J. C. Ponsart, " Sensor fault detection and isolation filter for polytopic LPV system: A winding machine application,” J. Process Control, vol. 23, no. 6, pp. 805–816, Jul. 2013. doi: 10.1016/j.jprocont.2013.04.002
    [30]
    T. Iwasake and S. Hara, " Generalized KYP lemma: Unified frequency domain inequalities with design applications,” IEEE Trans. Autom. Control, vol. 50, no. 1, pp. 41–59, Jan. 2005. doi: 10.1109/TAC.2004.840475
    [31]
    S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory SIAM, Philadelphia, 1994.
    [32]
    Z. H. Wang, M. Rodrigues, D. Theilliol and Y. Shen, " Sensor fault estimation filter design for discrete-time linear time-varying systems,” Acta Autom. Sinica, vol. 40, no. 10, pp. 2364–2369, 2014. doi: 10.1016/S1874-1029(14)60365-7
    [33]
    Z. H. Wang, Y. Shen, X. L. Zhang and Q. Wang, " Observer design for discrete-time descriptor systems: an LMI approach,” Syst. Control Lett., vol. 61, no. 6, pp. 683–687, Jun. 2012. doi: 10.1016/j.sysconle.2012.03.006
    [34]
    Y. M. Zhang and J. Jiang, " Integrated active fault tolerant control using IMM approach,” IEEE Trans. Aerosp. Electron. Syst., vol. 37, no. 4, pp. 1221–1235, Oct. 2001. doi: 10.1109/7.976961

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(9)  / Tables(1)

    Article Metrics

    Article views (1399) PDF downloads(42) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return