Design of a robust polytopic unknown input observer for FDI: Application for systems described by a multi-model representation

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 6268-6273

  Rodrigues, Mickaël ^a   Theilliol, Didier ^a   Sauter, Dominique ^a  

^a CENTRE DE RECHERCHE EN AUTOMATIQUE DE NANCY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ERROR ANALYSIS; MATRIX ALGEBRA; OBSERVABILITY; OPTIMIZATION; SYSTEM STABILITY;

FAULT DIAGNOSIS; LINEAR MATRIX INEQUALITY (LMI); PARTIAL KNOWLEDGE; UNKNOWN INPUT OBSERVER (UIO);

SYSTEMS ANALYSIS;

EID: 33847217595     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1583166     Document Type: Conference Paper

References (21)

1. J. Chen and R. Patton, Robust model-based fault diagnosis for dynamic systems. Kluwer Academic Publishers, 1999.
2. J. Gertler, Fault detection and diagnosis in engineering systems. Marcel Dekker Inc. New York Basel Hong Kong, 1998.
3. E. Alcorta-Garcia and P. Frank, "Deterministic nonlinear observer based approaches to fault diagnosis: a survey," Control Engineering Practice, vol. 5, no. 5, pp. 663-670, 1997.
4. M. Kinnaert, "Robust fault detection based on observers for bilinear systems," Automatica, vol. 35(11), pp. 1829-1842, 1999.
5. C. D. Persis and A. Isidori, "A geometric approach to nonlinear fault detection," IEEE Trans. on Automatic Control, vol. 46(6), pp. 853-865, 2001.
6. H. Hammouri, P. Kabore, and M. Kinnaert, "A geometric approach to fault detection and isolation for bilinear systems," IEEE Trans. on Automatic Control, vol. 46(9), pp. 1451-1455, 2001.
7. R. Murray-Smith and T. Johansen, Multiple Model Approaches to Modelling and Control. Taylor and Francis, 1997.
8. D. Angeli, A. Casavola, and E. Mosca, "Constrained predictive control of nonlinear plants via polytopic linear system embedding," International Journal of Robust and Nonlinear Control, vol. 10, pp. 1091-1103, 2000.
9. A. Tayebi and M. Zaremba, "Iterative learning control for non-linear systems described by a blended multiple model representation," International Journal of Control, vol. 75, no. 16/17, pp. 1376-1384, 2002.
10. Z. Wan and M. Kothare, "Efficient scheduled stabilizing model predictive control for constrained nonlinear systems," International Journal of Robust and Nonlinear Control, vol. 13, pp. 331-346, 2003.
11. L. Ozkan, M. Kothare, and C. Georgakis, "Control of a solution copolymerization reactor using multi-model predictive control," Chemical Engineering Science, pp. 1207-1221, 2003.
12. D. Theilliol, M. Rodrigues, M. Adam-Medina, and D. Sauter, "Adaptive filter design for FDI in nonlinear systems based on multiple model approach," In proc. IFAC Symposium Safeprocess, Washington D.C, USA, CD Rom, 2003.
13. P. Maybeck, "Multiple model adaptive algorithms for detecting and compensating sensor and actuator/surface failures in aircraft flight control systems," International Journal of Robust and Nonlinear Control, vol. 9, pp. 1050-1070, 1999.
14. H. Blom and Y. Bar Shalom, "The interacting multiple model algorithm for systems with Markovian switching coefficients," IEEE Trans. on Automatic Control, vol. 33(8), pp. 780-783, 1988.
15. M. Adam-Medina, M. Rodrigues, D. Theilliol, and H. Jamouli, "Fault diagnosis in nonlinear systems through an adaptive filter under a convex set representation," In proc. ECC, Cambridge, U.K, CD Rom, 2003.
16. G. Millerioux and J. Daafouz, "Unknown input observers for message-embedded chaos synchronization of discrete-time systems," International Journal of Bifurcation, vol. 14, pp. 1-12, 2004.
17. M. Rodrigues, M. Adam-Medina, D. Theilliol, and D. Sauter, "Fault Diagnosis on Industrial Systems based on a Multiple Model approach," In proc. IFAC Symposium on Automation in Mining, Mineral and Metal processing, Nancy, France, 2004.
18. M. Oliveira, J. Bernussou, and J. Geromel, "A New Discrete-time Robust Stability Condition," Systems and Control Letters, vol. 37, pp. 261-265, 1999.
19. ∞ design with pole placement constraints: an LMI approach," IEEE Trans. on Automatic Control, vol. 41, no. 3, pp. 358-367, 1996.
20. H. Chen, A. Kremling, and F. Allgower, "Nonlinear predictive control of a benchmark cstr," In Proc. 3rd ECC, Italy, pp. 3247-3252, 1995.
21. E. Gatzke and F. Doyle, "Multiple model approach for CSTR control," World IFAC Congress, Beijing, China, CD Rom, 1999.