Diagnosis of nonlinear systems using an unknown-input observer: An algebraic and differential approach

IEE Proceedings: Control Theory and Applications

Volumn 151, Issue 1, 2004, Pages 130-135

  Martinez Guerra R ^a   Diop, S ^b  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

^b UNIV PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEMS; LINEAR ALGEBRA; MATHEMATICAL MODELS; PROBLEM SOLVING; PROCESS CONTROL; ROBUSTNESS (CONTROL SYSTEMS);

DIFFERENTIAL FIELD EXTENSION; FAULT DETECTION; UNKNOWN-INPUT OBSERVERS (UIO);

NONLINEAR SYSTEMS;

EID: 17044445903     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:20040191     Document Type: Conference Paper

References (35)

1. Willsky, A.S.: 'A survey of design methods for failure detection in dynamic systems', Automatica, 1976, 12, pp. 601-611
2. Frank, P.M., and Ding, X.: 'Survey of robust residual generation and evaluation methods in observer-based fault detection systems', J. Process Control, 1997, 7, pp. 403-424
3. Iserman, R., and Balle, P.: 'Trends in the application of model-based fault detection and diagnosis of technical process', Control Eng. Pract., 1997, 5, pp. 709-719
4. Frank, P.M., and Ding, X.: 'Frequency domain approach to optimally robust residual generation and evaluation for model based fault diagnosis', Automatica, 1994, 30, (5), pp. 789-804
5. Frank, P.M.: 'Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: a survey', Automatica, 1990, 26, pp. 459-474
6. Alcorta Garcia, E., and Frank, P.M.: 'Deterministic nonlinear observer-based approaches to fault diagnosis: a survey'. Control Eng. Pract., 1997, 5, pp. 663-670
7. Wünnenberg: 'Observer-based fault detection in dynamic system'. VDI-Fortschrittsber., VDI-Verlag, Reihe 8, Nr. 222, Düsseldorf, Germany, 1990
8. Seliger, R., and Frank, P.M.: 'Robust observer-based fault diagnosis in nonlinear uncertain systems' in Patton, Frank, and Clark (Eds.): 'Issues of fault diagnosis for dynamic systems' (Springer, 2000), pp. 145-187
9. Diop, S., and Martínez-Guerra, R.: 'An algebraic and data derivative information approach to nonlinear system diagnosis'. Proc. European control Conf. (ECC), Porto, Portugal, June 2001, pp. 2334-2339
10. Diop S., and Martínez-Guerra, R.: 'On an algebraic and differential approach of nonlinear system diagnosis'. Proc. IEEE Conf. on Decision and control (CDC), Orlando, Florida, USA, December 2001, pp. 585-589
11. Viswanadham, N., and Srichander, R.: 'Fault detection using unknown-input observers', Control Theory Adv. Technol., 1987, 3, pp. 91-101
12. Kudva, P., Viswanadham, N., and Ramakrishna, A.: 'Observers for linear systems with unknown inputs', IEEE Trans. on Autom. Control, 1980, 25, pp. 113-115
13. Baseville, and Nikiforov, I.V.: 'Detection of abrupt changes. Theory and application' (Prentice Hall, Englewood Cliffs, 1993)
14. Chen, J., and Patton, R.J.: 'Robust model-based fault diagnosis for dynamic systems' (Kluwer Academic, Boston, 1998)
15. De Persis, C., and Isidori, A.: 'A geometric approach to nonlinear fault detection and isolation', IEEE Trans. Autom. Control, 2001, 46, (6), pp. 853-865
16. Hammouri, H., Kinnaert, M., and El Yaagoubi, E.H.: 'Observer based approach to fault detection and isolation for nonlinear systems', IEEE Trans. Autom., Control, 1999, 44, (10), pp. 1879-1884
17. Iserman, R.: 'Process fault detection based on modeling and estimation methods: a survey', Automatica, 1984, 20, (4), pp. 387-404
18. Massoumnia, M.A.: 'A geometric approach to the synthesis of failure detection filters', IEEE Trans. Autom. Control, 1986, 31, (3), pp. 839-846
19. Patton, R.J., Frank, P.M., and Clark, R.N.: 'Fault diagnosis in dynamical systems, theory and application' (Prentice Hall, 1989)
20. Staroswiecki, M., and Comtet-Varga, G.: 'Fault detectability and isolability in algebraic dynamic systems'. Presented at the European control Conf., ECC99, Karlsruhe, Germany, June 1999
21. Szigeti, F., Vera, C.E., Bokor, J., and Edelmayer, A.: 'Inversion based fault detection and isolation'. Proc. 40th IEEE Conf. on Decision and control (CDC), Orlando FL, December 2001, pp. 1005-1010
22. Martínez-Guerra, R., Garrido, R., and Osorio-Mirón, A.: 'High-gain nonlinear observers for the fault detection problem: application to a bioreactor' in Kurzhanski, and Fradkov (Eds.): Nonlinear Control Systems, (Elsevier Ltd, Oxford, 2002), vol. 3, pp. 1567-1572
23. Massoumnia, M.A., Verghese, G.C., and Willsky, A.S.: 'Failure detection and identification', IEEE Trans. Autom. Control, 1989, 34, pp. 316-321
24. Frank, P.M.: 'Enhancement of robustness in observer-based fault detection', Int. J. Control, 1994, 59, pp. 955-981
25. Chen, J., Patton, R.J., and Zhang, H.Y.: 'Design of unknown input observers and robust fault detection filters', Int. J. Control, 1996, 63, pp. 85-105
26. Martínez-Guerra, R., and De León-Morales, J.: 'Nonlinear estimators: a differential algebraic approach'. Appl. Math. Lett., 1996, 9, (4), pp. 21-25
27. Martínez-Guerra, R., Garrido, R., and Osorio-Mirón, A.: 'Parametric and state estimation by means of high-gain nonlinear observers: application to a bioreactor'. Proc. American control Conf., Arlington, Virginia. Washington, D.C., USA, 25-27 June 2001, pp. 3807-3808
28. Martínez-Guerra, R., Ramírez-Palacios, I.R., and Alvarado-Trejo, E.: 'On parametric and state estimation: application to a simple academic example'. Proc. 37th IEEE Conf. on Decision and control, Tampa, FL, December 1998, pp. 764-765
29. Tornambe, A.: 'Use of asymptotic observers having high-gain in the state and parameter estimation'. Proc. 28th IEEE Conf. on Decision and control, Tampa, Florida, USA, December 1989, pp. 1791-1794
30. Diop, S., and Fliess, M.: 'Nonlinear, observability, identifiability and persistent trajectories'. Proc. 30th IEEE Conf. on Decision and control, Brighton, England, December 1991, pp. 714-719
31. Fliess, M.: 'A note on the invertibility of nonlinear input-output differential systems', Syst. Control Lett., 1986, 8, pp. 147-151
32. Victoria, J.C., and Martinez-Guerra, R.: 'Nonlinear systems diagnosis: a differential algebraic approach'. Presented at the Latinamerican Cong. of Automatic control (CLCA), Guadalajara, Jalisco, Mexico, 4-6 December 2002
33. Martinez-Guerra, R., and Mendoza-Camargo, J.: 'Observers for a class of nondifferentially flat systems'. Proc. Conf. on Circuits, and Signals Systems (CSS), Cancun, Mexico. 19-21 May 2003, pp. 67-72
34. Aguilar-Lopez, R., Martínez-Guerra, R., and Maya-Yescas, R.: 'State estimation for partially unknown nonlinear systems: a class of integral high gain observers'. IEE Proc. Control Theory Appl., 2003, 150, (3), pp. 240-244 (in press)
35. Perrier, M., Feyo de Azevedo, J., Ferreira, E.G., and Dochain, D.: 'Tuning of observer-based estimators: Theory and application to the on-line estimation of kinetic parameters'. Control Eng. Pract., 2000, 8, pp. 377-388