http://iet.metastore.ingenta.com
1887

fault detection for linear discrete-time descriptor systems

fault detection for linear discrete-time descriptor systems

For access to this article, please select a purchase option:

Buy article PDF
$19.95
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

Sensor fault detection of discrete-time descriptor systems with bounded disturbances is studied. The authors propose a new structure of a fault detection observer by augmenting the output, which can broaden the application scope. A criterion is used to achieve the fault sensitivity and disturbance attenuation ability of the residual simultaneously. The residual generation and time-varying threshold calculation are integrated together based on analysis. Furthermore, sufficient conditions for the performance of the proposed observer are formulated in terms of linear matrix inequalities. Numerical simulations of a direct current motor and a flight vehicle are conducted to verify the applicability of the proposed fault detection observer design method.

References

    1. 1)
      • 1. Chen, J., Patton, R.J.: ‘Robust model-based fault diagnosis for dynamic systems’ (Kluwer Academic Publishers, Boston, 1999, 1st edn.).
    2. 2)
      • 2. Ding, S.: ‘Model-based fault diagnosis techniques: design schemes, algorithms, and tools’ (Springer Science & Business Media, Berlin, 2008, 1st edn.).
    3. 3)
      • 3. Isermann, R.: ‘Fault-diagnosis applications: model-based condition monitoring: actuators, drives, machinery, plants, sensors, and fault-tolerant systems’ (Springer Science & Business Media, London, 2011, 1st edn.).
    4. 4)
      • 4. Zhang, K., Jiang, B., Shi, P.: ‘Observer-based fault estimation and accommodation for dynamic systems’ (Springer, Berlin, 2012, 1st edn.).
    5. 5)
      • 5. Hou, M., Patton, R.J.: ‘An LMI approach to H/H fault detection observers’. Proc. UKACC Int. Conf. on Control, Exeter, UK, 1996, pp. 305310.
    6. 6)
      • 6. Wang, H., Lam, J.: ‘Robust fault detection for uncertain discrete-time systems’, J. Guid. Control, Dyn., 2002, 25, (2), pp. 291301.
    7. 7)
      • 7. Wang, J.L., Yang, G.H., Liu, J.: ‘An LMI approach to H index and mixed H/H fault detection observer design’, Automatica, 2007, 43, (9), pp. 16561665.
    8. 8)
      • 8. Ding, D.W., Wang, H., Li, X.: ‘H/H fault detection observer design for two-dimensional Roesser systems’, Syst. Control Lett., 2015, 82, pp. 115120.
    9. 9)
      • 9. Wang, H., Wang, J., Lam, J.: ‘Robust fault detection observer design: iterative LMI approaches’, J. Dyn. Syst. Meas. Control, 2007, 129, (1), pp. 7782.
    10. 10)
      • 10. Li, X.J., Yang, G.H.: ‘Fault detection in finite frequency domain for Takagi–Sugeno fuzzy systems with sensor faults’, IEEE Trans. Cybern., 2014, 44, (8), pp. 14461458.
    11. 11)
      • 11. Zhai, D., Lu, A.Y., Li, J.H., et al: ‘Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time’, Appl. Math. Comput., 2016, 273, pp. 767792.
    12. 12)
      • 12. Zhai, D., An, L., Li, J., et al: ‘Fault detection for stochastic parameter-varying Markovian jump systems with application to networked control systems’, Appl. Math. Model., 2016, 40, (3), pp. 23682383.
    13. 13)
      • 13. Gu, Y., Yang, G.H.: ‘Fault detection for discrete-time Lipschitz non-linear systems in finite-frequency domain’, IET Control Theory Applic., 2017, 11, (14), pp. 21772186.
    14. 14)
      • 14. Han, W., Wang, Z., Shen, Y., et al: ‘L observer for uncertain linear systems’, Asian J. Control, 2018, 20, (6), pp. 17.
    15. 15)
      • 15. Abedor, J., Nagpal, K., Poolla, K.: ‘A linear matrix inequality approach to peak-to-peak gain minimization’, Int. J. Robust Nonlinear Control, 1996, 6, (9-10), pp. 899927.
    16. 16)
      • 16. Wang, Z., Lim, C.C., Shi, P., et al: ‘H/L fault detection observer design for linear parameter-varying systems’. Proc. 20th World Congress of Int. Federation of Automatic Control, Toulouse, France, 2017, pp. 1527115276.
    17. 17)
      • 17. Zhou, M., Wang, Z., Theilliol, D., et al: ‘H/L fault detection observer for discrete-time T-S fuzzy systems’. 56th IEEE Conf. on Decision and Control, Melbourne, Australia, 2017, pp. 51375142.
    18. 18)
      • 18. Dai, L.: ‘Singular control systems’ (Springer, Berlin, 1989).
    19. 19)
      • 19. Masubuchi, I., Kato, J., Saeki, M., et al: ‘Gain-scheduled controller design based on descriptor representation of LPV systems: application to flight vehicle control’. 43rd IEEE Conf. on Decision and Control, Bahamas, 2004, pp. 815820.
    20. 20)
      • 20. Gao, Z., Ding, S.X.: ‘Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems’, Automatica, 2007, 43, (5), pp. 912920.
    21. 21)
      • 21. Bessaoudi, T., Hmida, F.B., Hsieh, C.S.: ‘Robust state and fault estimation for linear descriptor stochastic systems with disturbances: a DC motor application’, IET Control Theory Appl., 2016, 11, (5), pp. 601610.
    22. 22)
      • 22. Yeu, T.K., Kawaji, S.: ‘Sliding mode observer based fault detection and isolation in descriptor systems’. Proc. 2002 American Control Conf., Alaska, USA, 2002, pp. 45434548.
    23. 23)
      • 23. Boulkroune, B., Halabi, S., Zemouche, A.: ‘H/H fault detection filter for a class of nonlinear descriptor systems’, Int. J. Control, 2013, 86, (2), pp. 253262.
    24. 24)
      • 24. Gao, Z., Ho, D.W.: ‘State/noise estimator for descriptor systems with application to sensor fault diagnosis’, IEEE Trans. Signal Process., 2006, 54, (4), pp. 13161326.
    25. 25)
      • 25. Jia, Q., Li, H., Zhang, Y., et al: ‘Robust observer-based sensor fault reconstruction for discrete-time systems via a descriptor system approach’, Int. J. Adapt. Control Autom. Syst., 2015, 13, (2), pp. 274283.
    26. 26)
      • 26. Wang, Z., Rodrigues, M., Theilliol, D., et al: ‘Fault estimation filter design for discrete-time descriptor systems’, IET Control Theory Applic., 2015, 9, (10), pp. 15871594.
    27. 27)
      • 27. Wang, Z., Shi, P., Lim, C.C.: ‘H/H fault detection observer in finite frequency domain for linear parameter-varying descriptor systems’, Automatica, 2017, 86, pp. 3845.
    28. 28)
      • 28. Pasqualetti, F., Dörfler, F., Bullo, F.: ‘Attack detection and identification in cyber-physical systems’, IEEE Trans. Autom. Control, 2013, 58, (11), pp. 27152729.
    29. 29)
      • 29. Duan, G.R., Howe, D., Patton, R.J.: ‘Robust fault detection in descriptor linear systems via generalized unknown input observers’, Int. J. Syst. Sci., 2002, 33, (5), pp. 369377.
    30. 30)
      • 30. Yeu, T.K., Hwan-Seong, K., Kawaji, S.: ‘Fault detection, isolation and reconstruction for descriptor systems’, Asian J. Control, 2005, 7, (4), pp. 356367.
    31. 31)
      • 31. Estrada, F.L., Ponsart, J.C., Theilliol, D., et al: ‘Robust H/H fault detection observer design for descriptor-LPV systems with unmeasurable gain scheduling functions’, Int. J. Control, 2015, 88, (11), pp. 23802391.
    32. 32)
      • 32. Wang, Z., Rodrigues, M., Theilliol, D., et al: ‘Actuator fault estimation observer design for discrete-time linear parameter-varying descriptor systems’, Int. J. Adapt. Control Signal Process., 2015, 29, (2), pp. 242258.
    33. 33)
      • 33. Darouach, M.: ‘H unbiased filtering for linear descriptor systems via LMI’, IEEE Trans. Autom. Control, 2009, 54, (8), pp. 19661972.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2017.1408
Loading

Related content

content/journals/10.1049/iet-cta.2017.1408
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address