Link between high-gain observer-based and parity space residuals for FDI

Transactions of the Institute of Measurement and Control

Volumn 26, Issue 4, 2004, Pages 325-337

  Christophe, Cyrille ^a   Cocquempot, Vincent ^a   Jiang, Bin ^a  

^a CNRS   (France)

Author keywords

Fault detection; High gain observers; Nonlinear systems; Parity space; Residual generation

Indexed keywords

DC MOTORS; ELECTRIC FAULT CURRENTS; ERROR DETECTION; PERTURBATION TECHNIQUES; REDUNDANCY;

FAULT DETECTION; HIGH-GAIN OBSERVERS; PARITY SPACE; RESIDUAL GENERATION;

NONLINEAR SYSTEMS;

EID: 6344291731     PISSN: 01423312     EISSN: None     Source Type: Journal    
DOI: 10.1191/0142331204tm125oa     Document Type: Article

References (30)

1. Alcorta-Garcia, E. and Frank, P. 1997: Deterministic nonlinear observer-based approaches to fault diagnosis: a survey. Control Engineering Practice 5, 663-70.
2. Chen, J. and Patton, R.J. 1999: Robust model-based fault diagnosis for dynamic systems. Boston: Kluwer Academic.
3. Chiasson, J.N. and Bodson, M. 1993: Nonlinear control of a shunt DC motor. IEEE Transactions on Automatic Control 38, 1662-66.
4. Chow E.Y. and Willsky, A.S. 1984: Analytical redundancy and the design of robust failure detection systems. IEEE Transactions on Automatic control 29, 602-15.
5. Cocquempot, V. and Christophe, C. 2000: On the equivalence between observer-based and parity space approaches for FDI in nonlinear systems. In: IFAC International Symposium on Safety in Technical Processes Safeprocess 2000, Budapest, 232-37.
6. Comtet-Varga, G. 1997: Surveillance des systémes non linéaires. Application aux machines asynchrones. PhD thesis, Université des Sciences et Technologies de Lille.
7. Conte, G., Moog, C. and Perdon, A. 1998: Nonlinear control systems. New York: Springer.
8. Cox, D., Little, J. and O'Shea, D. 1992: Ideals, varieties and algorithms. New York: Springer.
9. Diop, S. 1991: Elimination in control theory. Mathematical Control Signal systems 4, 17-32.
10. Frank, P.M., Ding, B. and Koppen-Selinger, B. 2000: Current developments in the theory of FDI. In: Proceedings of SAFEPROCESS 2000, Vol. 1, Budapest, 16-27.
11. Gauthier, J.P., Hammouri, H. and Othman, S. 1992: A simple observer for nonlinear systems applications to bioreactors. IEEE Transactions on Automatic Control 37, 875-80.
12. Gertler, J. 1998: Fault detection and diagnosis in engineering systems. New York: Marcel Dekker.
13. Gertler, J. 2000: All linear methods are equal and extendable to nonlinearities. In: Proceedings of SAFEPROCESS 2000, Vol. 1, Budapest, 52-63.
14. Isermann, R. 1984: Process fault detection based on modelling and estimation methods. Automatica 20, 387-404.
15. Isermann, R. 1993: Fault diagnosis of machines via parameter estimation and knowledge processing. Automatica 29, 815-35.
16. Isidori, A. 1995: Nonlinear Control Systems, third edition. New York: Springer.
17. Jiang, B. and Staroswiecki, M. 2002: Adaptive observer design for robust fault estimation. International Journal of Systems Science, 33, 767-75.
18. Jiang, B., Cocquempot, V. and Christophe, C. 2002: Sliding mode observer based fault diagnosis in nonlinear systems. Proc. of IFAC World Congress' 02, Barcelona, 674-79.
19. Kinnaert, M. 2003: Fault diagnosis based on analytical models for linear and nonlinear systems - a tutorial. IFAC Conference Safeprocess'03 Washington, DC, 37-50.
20. Nijmeijer, H. and Fossen, T.I. 1999: New directions in nonlinear observer design. Volume 244 of Lecture Notes in Control and Information Sciences. Behin, Springer.
21. Patton, R.J. and Chen, J. 1991a: A re-examination of the relationships between parity space and observer-based approaches in fault diagnosis. Revue Européenne Diagnostic et Sûreté'de fonctionnement 1, 183-200.
22. Patton, R. J. and Chen, J. 1991b: A review of parity space approaches to fault diagnosis. IFAC/IMACS Safeprocess Conference, Baden Baden, 239-255.
23. Patton, R.J. Frank, P.M. and Clark, R. 1989: Fault diagnosis in dynamic systems: theory and application. In Systems and control engineering series. Englewood Cliffs, NJ: Prentice Hall.
24. Persis, C. De and Isidori, A. 1999: On the problem of residual generation for fault detection in non-linear systems and some related facts. ECC'99 (CDrom), Karlshruhe.
25. Ritt, J.F. 1950: Differential algebra. Providence, RI: American Mathematical Society.
26. Staroswiecki, M. and Comtet-Varga, G. 1999: Fault detectability and isolability in algebraic dynamic systems. ECC'99 (CDrom), Karlsruhe.
27. Staroswiecki, M. and Comtet-Varga, G. 2001: Analytic redundancy relations for fault detection and isolation in algebraic dynamic systems. Automatica 37, 687-99.
28. Staroswiecki, M., Cocquempot, V. and Cassar, J.-Ph. 1991: Optimal Design of F.D.I. systems via parity space and observer based approches. In: IECON'91, Kobe, 143-47.
29. Wünnenberg, J. 1990: Observer-based fault detection in dynamic systems. PhD thesis, University of Duisburg, VDI-Fortschrittsber, Reihe 8, No. 222.
30. Zhang, Q., Basseville, M. and Benveniste, A. 1998: Fault detection and isolation in nonlinear dynamical systems: a combined input-output and local approach. Automatica 34, 1359-74.