Sliding mode observers for detection and reconstruction of sensor faults. (English) Zbl 1011.93505

Tan, Chee Pin; Edwards, Christopher

Automatica 38, No. 10, 1815-1821 (2002).

Summary: This paper proposes two methods for detecting and reconstructing sensor faults using sliding mode observers. In both methods, fictitious systems are introduced in which the original sensor fault appears as an actuator fault. The original sensor faults are then reconstructed using a ‘secondary’ sliding mode observer. For both methods, there are certain conditions which must be satisfied for successful fault detection and reconstruction. The methods are demonstrated using a chemical process example.

MSC:

93B07	Observability
90B25	Reliability, availability, maintenance, inspection in operations research
93B12	Variable structure systems

Keywords:

sliding mode; observer; fault detection and isolation; fault reconstruction; linear matrix inequalities

References:

[1]	Chen, J.; Patton, R.J., Robust model-based fault diagnosis for dynamic systems, (1999), Kluwer Academic Publishers Dordrecht · Zbl 0920.93001
[2]	Chilali, M.; Gahinet, P., \(H∞\) design with pole placement constraintsan LMI approach, IEEE transactions on automatic control, 41, 358-367, (1996) · Zbl 0857.93048
[3]	Edwards, C.; Spurgeon, S.K., On the development of discontinuous observers, International journal of control, 59, 1211-1229, (1994) · Zbl 0810.93009
[4]	Edwards, C.; Spurgeon, S.K., A sliding mode observer based FDI scheme for the ship benchmark, European journal of control, 6, 341-356, (2000) · Zbl 1293.93154
[5]	Edwards, C.; Spurgeon, S.K.; Patton, R.J., Sliding mode observers for fault detection and isolation, Automatica, 36, 541-553, (2000) · Zbl 0968.93502
[6]	Frank, P.M., Analytical and qualitative model-based fault diagnosis—a survey and some new results, European journal of control, 2, 6-28, (1996) · Zbl 0857.93015
[7]	Hermann, G., Spurgeon, S. K., & Edwards, C. (2000). Model-based control of the HDA-plant, a non-linear, large scale chemical process, using sliding mode and \(H∞\) approaches. UKACC Control Conference, Cambridge, 2000.
[8]	Hermans, F. J. J., & Zarrop, M. B. (1996). Sliding mode observers for robust sensor monitoring. 13th IFAC world congress, San Francisco (pp. 211-216).
[9]	Magni, J.F.; Mouyon, P., On residual generation by observer and parity space approaches, IEEE transactions on automatic control, 39, 441-447, (1994) · Zbl 0800.93183
[10]	Patton, R.J.; Frank, P.M.; Clark, R.N., Fault diagnosis in dynamic systems: theory and application, (1989), Prentice Hall New York
[11]	Sreedhar, R., Fernandez, B., & Masada, G. Y. (1993). Robust fault detection in nonlinear systems using sliding mode observers. IEEE conference on control applications, Vancouver (pp. 715-721).
[12]	Tan, C. P., & Edwards, C. (2000). An LMI approach for designing sliding mode observers. IEEE conference on decision and control, Sydney (pp. 2587-2592).
[13]	Utkin, V.I., Sliding modes in control optimization, (1992), Springer Berlin · Zbl 0748.93044
[14]	Zhang, Q.; Basseville, M.; Benveniste, A., Fault detection and isolation in nonlinear dynamic systemsa combined input-output and local approach, Automatica, 34, 1359-1373, (1998) · Zbl 0961.93007