Robust fault detection of Markovian jump systems

Circuits, Systems, and Signal Processing

Volumn 23, Issue 5, 2004, Pages 387-407

  Zhong, Maiying ^a,b   Lam, James ^c   Ding, Steven X ^d   Shi, Peng ^e  

^a TSINGHUA UNIVERSITY   (China)

^b SHANDONG UNIVERSITY   (China)

^c UNIVERSITY OF HONG KONG   (Hong Kong)

^d UNIVERSITY OF DUISBURG ESSEN   (Germany)

^e UNIVERSITY OF GLAMORGAN   (United Kingdom)

Author keywords

Fault detection; Filter; LMI; Markovian jump system; Residual evaluation

Indexed keywords

ALGORITHMS; ITERATIVE METHODS; LINEAR CONTROL SYSTEMS; MARKOV PROCESSES; MATRIX ALGEBRA; OPTIMIZATION; PROBABILITY; VECTORS;

FAULT DETECTION; FAULT DETECTION FILTER; LINEAR MATRIX INEQUALITY (LMI); MARKOVIAN JUMP SYSTEM; RESIDUAL EVALUATION;

SIGNAL DETECTION;

EID: 5744248764     PISSN: 0278081X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00034-004-0814-8     Document Type: Article

References (18)

1. ∞ control of uncertain Markovian jump systems with time-delay, IEEE Trans. Automatic Control, 45(1):77-83, 2000.
2. J. Chen and R. J. Patton, Robust Model-Based Fault Diagnosis for Dynamic Systems, Kluwer Academic Publishers, Boston, MA, 1999.
3. ∞ -control of discrete-time Markovian jump linear systems, IEEE Trans. Automatic Control, 43(1):95-100, 1998.
4. D. De Farias, J. Geromel, J. Do Val, and O. Costa, Output feedback control of Markov jump linear systems in continuous-time, IEEE Trans. Automatic Control, 45(5):944-949, 2000.
5. ∞ filtering for Markovian jump linear systems, Internat. J. Systems Sci., 33:909-915, 2002.
6. S. X. Ding, T. Jeinsch, P. M. Frank, and E. L. Ding, A unified approach to the optimization of fault detection systems, Internat. J. Adaptive Control Signal Process., 14(7):725-745, 2000.
7. X. Feng, K. A. Loparo, Y. Ji, and H. J. Chizeck, Stochastic stability properties of jump linear systems, IEEE Trans. Automatic Control, 37(1):38-53, 1992.
8. E M. Frank, S. X. Ding, and B. Koppen-Seliger, Current developments in the theory of FDI, in Proc. SAFEPROCESS'2000, pp. 16-27, Budapest, Hungary, 2000.
9. J. Gertler, Fault Detection and Diagnosis in Engineering Systems, Marcel Dekker, New York, 1998.
10. ∞ fault detection filter for a class of discrete-time systems with multiple time delays, in Proc. 15th IFAC World Congress, Barcelona, Spain, July 2002. CD-ROM.
11. J. Liu, J. L. Wang, and G. H. Yang, Worst-case fault detection observer design: An LMI approach, in Proc. Int. Conf Control Automation, pp. 1234-1247, Xiamen, China, June 2002.
12. R. S. Mangoubi and A. M. Edelmayer, Model based fault detection: The optimal past, the robust present and a few thoughts on the future, in Proc. SAFEPROCESS'2000, pp. 64-75, Budapest, Hungary, 2000.
13. E. G. Nobrega, M. O. Abdalla, and K. M. Grigoriadis, LMI-based filter design for fault detection and isolation, in Proc. 39th IEEE Conf. Decis. Control, pp. 4329-4334, Sydney, Australia, 2000.
14. R. J. Patton, P. M. Frank, and R. N. Clark, Issues of Fault Diagnosis for Dynamic Systems, Springer-Verlag, London Ltd, 2000.
15. F. Rambeaux, F. Hamelin, and D. Sauter, Robust residual generation via LMI, in Proc. 14th IFAC World Congress, pp. 241-246, Beijing, China, 1999.
16. P. Shi, E.-K. Boukas, and R. K. Agarwal, Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay, IEEE Trans. Automatic Control, 44(11):2139-2144, 1999.
17. ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays, IEEE Trans. Automatic Control, 48(5):900-907, 2003.
18. M. Zhong, S. X. Ding, J. Lm, and H. Wang, LMI approach to design robust fault detection filter for uncertain LTI systems, Automatica, 39(3):543-550, 2003.