Event-triggered fault detection and isolation for discrete-time linear systems

Shahram Hajshirmohamadi; Mohammadreza Davoodi; Nader Meskin; Farid Sheikholeslam

Event-triggered fault detection and isolation for discrete-time linear systems

View Fulltext

Author(s): Shahram Hajshirmohamadi ¹ ; Mohammadreza Davoodi ² ; Nader Meskin ² ; Farid Sheikholeslam ¹
- Affiliations: 1: Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran ;
  2: Department of Electrical Engineering, Qatar University, Doha, Qatar
Source: Volume 10, Issue 5, 21 March 2016, p. 526 – 533
DOI: 10.1049/iet-cta.2015.0762 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 15/08/2015, Accepted 01/12/2015, Revised 12/11/2015, Published 21/03/2016

In this study, the problem of event-triggered fault detection and isolation (FDI) for discrete-time linear time-invariant systems is considered. Using a Leunberger observer as the residual generator, a multi-objective formulation of the FDI problem is presented based on l ₁, H_ and H _∞ performance indices. For each performance index, sufficient conditions for the design of FDI observer are presented based on linear matrix inequalities (LMIs). To reduce the conservativeness of the multi-objective problem, extended LMIs are used to eliminate the couplings of Lyapunov matrices with the system state space matrices. It is shown that through an event-triggered data transmission mechanism, the amount of data that is sent to the FDI module is significantly decreased. Simulation results corresponding to a remotely operated vehicle demonstrate the effectiveness and capabilities of the proposed design methodology.

References

1. 1)
  - 7. Velasco, M., Marti, P., Bini, E.: ‘On Lyapunov sampling for event-driven controllers’. Proc. 48th IEEE Conf. on Decision and Control, held jointly with the 28th Chinese Control Conf., 2009, pp. 6238–6243.
2. 2)
  - 12. Nguyen, V.H., Suh, Y.S.: ‘Improving estimation performance in networked control systems applying the send-on-delta transmission method’, Sensors, 2007, 7, (10), pp. 2128–2138 (doi: 10.3390/S7102128).
3. 3)
  - 14. Venkatasubramanian, V., Rengaswamy, R., Yin, R., et al.: ‘A review of process fault detection and diagnosis: Part I: Quantitative model-based methods’, Comput. Chem. Eng., 2003, 27, (3), pp. 293–311 (doi: 10.1016/S0098-1354(02)00160-6).
4. 4)
  - 16. Jee, S.C., Lee, H.J., Joo, Y.H.: ‘H−/H∞ sensor fault detection and isolation in linear time-invariant systems’, Int. J. Control Autom. Syst., 2012, 10, (4), pp. 841–845 (doi: 10.1007/s12555-012-0422-5).
5. 5)
  - 13. Donkers, M.C.F., Heemels, W.P.M.H.: ‘Output-based event-triggered control with guaranteed L∞-gain and improved and decentralized event-triggering’, IEEE Trans. Autom. Control, 2012, 57, (6), pp. 1362–1376 (doi: 10.1109/TAC.2011.2174696).
6. 6)
  - 10. Yue, D., Tian, E., Han, Q.L.: ‘A delay system method for designing event-triggered controllers of networked control systems’, IEEE Trans. Autom. Control, 2013, 58, (2), pp. 475–481 (doi: 10.1109/TAC.2012.2206694).
7. 7)
  - 20. Li, S., Xiang, Z., Karimi, H.R.: ‘Mixed fault detection observer design for positive switched systems with time-varying delay via delta operator approach’, Int. J. Control Autom. Syst., 2014, 12, (4), pp. 709–8721 (doi: 10.1007/s12555-013-0466-1).
8. 8)
  - 47. Pipeleers, G., Demeulenaere, B., Swevers, J., Vandenberghe, L.: ‘Extended LMI characterizations for stability and performance of linear systems’, Syst. Control Lett., 2009, 58, (17), pp. 510–518 (doi: 10.1016/j.sysconle.2009.03.001).
9. 9)
  - 9. Dong, H.L., Wang, Z.D., Gao, H.J.: ‘Fault detection for Markovian jump systems with sensor saturations and randomly varying nonlinearity’, IEEE Trans. Circuits Syst. Regul. Pap., 2012, 59, (10), pp. 2354–2362 (doi: 10.1109/TCSI.2012.2185330).
10. 10)
  - 27. Davoodi, M.R., Meskin, N., Khorasani, K.: ‘Simultaneous fault detection, isolation and control tracking design using a single observer-based module’. American Control Conf., 2014, pp. 3047–3052.
11. 11)
  - 6. Hu, S., Yue, D., Xie, X., et al.: ‘Event-triggered H∞ stabilization for networked stochastic systems with multiplicative noise and network-induced delays’, Inf. Sci., 2015, 299, (10), pp. 178–197 (doi: 10.1016/j.ins.2014.11.048).
12. 12)
  - 26. Hajshirmohamadi, S., Davoodi, M.R., Meskin, N.: ‘Event-triggered fault detection for discrete-time linear systems’. IEEE Multi-Conf. on Systems and Control, 2015, pp. 990–995.
13. 13)
  - 23. Liu, J., Dong, Y.: ‘Event-based fault detection for networked systems with communication delay and nonlinear perturbation’, J. Franklin Inst., 2013, 350, (9), pp. 2791–2807 (doi: 10.1016/j.jfranklin.2013.06.021).
14. 14)
  - 39. Anta, A., Tabuada, P.: ‘To sample or not to sample: self-triggered control for nonlinear systems’, IEEE Trans. Autom. Control, 2010, 55, (9), pp. 2030–2042 (doi: 10.1109/TAC.2010.2042980).
15. 15)
  - 24. Liu, Q., Wang, Z., He, X., et al.: ‘Event-based H∞ consensus control of multi-agent systems with relative output feedback: the finite-horizon case’, IEEE Trans. Autom. Control, 2015, 60, (9), pp. 2553–2558 (doi: 10.1109/TAC.2015.2394872).
16. 16)
  - 18. Zhang, S., Wang, Z., Ding, D., et al.: ‘On design of robust fault detection filter in finite-frequency domain with regional pole assignment’, IEEE Trans. Circuits Syst. II, 2015, 62, (4), pp. 382–386 (doi: 10.1109/TCSII.2014.2387684).
17. 17)
  - 9. Le, A., McCann, R.: ‘Event-based measurement updating Kalman filter in network control systems’. IEEE Region 5 Technical Conf., 2007.
18. 18)
  - 3. Dorf, R.C., Farren, M., Phillips, C.: ‘Adaptive sampling frequency for sampled-data control systems’, IEEE Trans. Autom. Control, 1962, 7, (1), pp. 38–47 (doi: 10.1109/TAC.1962.1105415).
19. 19)
  - 2. Ellis, P.: ‘Extension of phase plane analysis to quantized systems’, IEEE Trans. Autom. Control, 1959, 4, (2), pp. 43–54 (doi: 10.1109/TAC.1959.1104845).
20. 20)
  - 22. Meng, X., Chen, T.: ‘Event triggered robust filter design for discrete-time systems’, IET Control Theory Appl., 2014, 8, (2), pp. 104–113 (doi: 10.1049/iet-cta.2013.0541).
21. 21)
  - 30. Feng, Z., Allen, R.: ‘H∞ autopilot design for an autonomous underwater vehicle’. IEEE Control Applications Conf., 2002, vol. 1, pp. 350–354.
22. 22)
  - 27. Suh, Y., Nguyen, V., Ro, Y.: ‘Modified Kalman filter for networked monitoring systems employing a send-on-delta method’, Automatica, 2007, 43, (2), pp. 332–338 (doi: 10.1016/j.automatica.2006.08.022).
23. 23)
  - 12. Nguyen, V.H., Young, Y.S.: ‘Networked estimation with an area-triggered transmission method’, Sensors, 2008, 8, (2), pp. 897–909 (doi: 10.3390/s8020897).
24. 24)
  - 14. Peng, C., Han, Q.L.: ‘A novel event-triggered transmission scheme and L2 control co-design for sampled-data control systems’, IEEE Trans. Autom. Control, 2014, 58, (10), pp. 2620–2626 (doi: 10.1109/TAC.2013.2256015).
25. 25)
  - 7. Heemels, W., Donkers, M.: ‘Model-based periodic event-triggered control for linear systems’, Automatica, 2013, 49, (3), pp. 698–711 (doi: 10.1016/j.automatica.2012.11.025).
26. 26)
  - 15. Li, Z., Jaimoukha, I.M.: ‘Observer-based fault detection and isolation filter design for linear time-invariant systems’, Int. J. Control, 2009, 82, (1), pp. 171–182 (doi: 10.1080/00207170802031528).
27. 27)
  - 17. Wang, H., Yang, G.H.: ‘A finite frequency domain approach to fault detection for linear discrete-time systems’, Int. J. Control, 2008, 81, (7), pp. 1162–1171 (doi: 10.1080/00207170701691513).
28. 28)
  - 22. Li, S., Dominiquerand, S., Bugong, X.: ‘Fault isolation filter for networked control system with event-triggered sampling scheme’, Sensors, 2011, 11, (1), pp. 557–572 (doi: 10.3390/s110100557).
29. 29)
  - 29. Rieber, J.: ‘Control of uncertain systems with l1 and quadratic performance objectives’. Ph.Thesis D., Von der fakultat maschinenbau der universitat Stuttgart, Germany, 2007.
30. 30)
  - 21. Curry, T.D., Collins, E.: ‘Robust fault detection and isolation using robust l1 estimation’, J. Guidance Control Dyn., 2005, 28, (6), pp. 1131–1139 (doi: 10.2514/1.12654).

Login

Not registered yet?

Share

Tools

Login to add to favourites

Key

Event-triggered fault detection and isolation for discrete-time linear systems

References

Related content