An LMI Approach to Worst Case Analysis for Fault Detection Observers

Proceedings of the American Control Conference

Volumn 4, Issue , 2003, Pages 2985-2990

  Liu, Jian ^a   Wang, Jian Liang ^b   Yang, Guang Hong ^c  

^a Honeywell Avionics Inc   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR CONTROL SYSTEMS; PROBLEM SOLVING; TRANSFER FUNCTIONS;

FAULT DETECTION;

CONTROL SYSTEM ANALYSIS;

EID: 0142184077     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (23)

1. G. Basile and G. Marro, "On observability of linear time-invariant systems with unknown inputs", Int. J. Optimz. Theory Appl., Vol 3, pp. 410-415, 1969.
2. S. P. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in system and control theory., Philadelphia, PA: SIAM, 1994.
3. J. Chen, R. J. Patton and G. P. Liu, "Optimal residual design for fault-diagnosis using multiobjective optimization and genetic algorithms", Int. J. Sys. Sci., Vol 27, 1996, pp. 567-576.
4. J. Chen and R. J. Patton, Robust Model-based fault diagnosis for dynamic systems. Kluwer academic publishers, 1999.
5. S. X. Ding, T. Jeinsh, P. M. Frank and E. L. Ding, "A unified approach to the optimization of fault detection systems", International Journal of Adaptive control and signal Processing, Vol 14, pp. 725-745, 2000.
6. X. Ding and P. M. Frank, "Fault detection via optimally robust detection filters", Proc. 28th Conf. Decision Contr., Vol 2, pp. 1767-1772, 1989.
7. X. Ding, L.Guo and T. Jeinsch, "A characterization of parity space and it's application to robust fault detection", IEEE Transactions on Automatic Control, 44(2), pp. 337-343, 1999.
8. P. M. Frank, "Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: a survey and some new results", Automatica, 26(3), pp. 459-474, 1990.
9. P. M. Frank and /X. Ding, "Survey of robust residual generation and evaluation methods in observer-based fault detection systems", J. Proc. Control, 7(6), pp. 403-424, 1997.
10. J. Gertler, "Survey of model-based failure detection and isolation in complex plants", IEEE Control Systems Magazine, 8(6), pp. 3-11, 1988.
11. ∞ fault detection observers", Proc. UKACC International Conference on Control, pp. 305-310, 1996.
12. M. Hou and R. J. Patton, "Input observability and input reconstruction", Automatica, Vol 34, pp. 789-794, 1998.
13. R. Isermann, "Process fault detection based on modeling and estimation methods: A survey", Automatica, 20(4), pp. 387-404.
14. M. K. Külmiz Cevik and I. Cem Göknar, "Unknown input observability of decomposed systems consisting of algebraic and integration parts," IEEE Trans. Circuits and systems-I: fundamental theory and applications, Vol. 43, 1996.
15. J. Liu, J.L. Wang and G.-H. Yang, "Worst-case fault detection observer design: An LMI approach," Proc. IEEE International Conference on Control and Automation, Xiamen, China, June 2002. pp. 1243-1247.
16. E. G. Nobrega, M. O. Abdalla and K. M. Grigoriadis, "LMI-based filter design for fault detection and isolation", Proc. 39th Conf. Decision Contr., Sydney, Australia, 2000, pp. 4329-4334.
17. R. J. Patton, "Robust model-based fault diagnosis: the state of the art", IFAC Symp. Fault Detection, Supervision and Safety for Technical Process, pp. 1-27, Finland, 1994, Academic Press.
18. ∞ estimation and robust fault detection", Proc. European Control Conference, Brussels, Belgium, 1997.
19. R. J. Patton, P. M. Frank and R. N. Clark, Fault Diagnosis in dynamic Systems: Theory and Applications, Prentice Hall, London, 1989.
20. ∞-optimization", Proc. 32th Conf. Decision Contr., San Antonio, Texas, 1993, pp. 1710-1715.
21. M. L. Rank and H. Niemann, "Norm based design of fault detectors", International Journal of Control, 72(9), pp. 773-783, 1999.
22. K. Zhou, Essential of robust control. NJ: Prentice-Hall, 1998.
23. K. Zhou, Doyle and J. Comstock Robust and optimal control. NJ: Prentice-Hall, 1996.