An adaptive technique for robust diagnosis of faults with independent effects on system outputs. (English) Zbl 1038.93016

Summary: Fault detection and diagnosis (FDD) of faults with independent effect on system outputs by using the adaptive observer technique are investigated. At first, a class of linear systems without model uncertainty is considered. Then, a general situation where the system is subjected to either model errors or external disturbance is discussed. Robust adaptive control techniques are applied to guarantee convergence of certain signals to residual sets. An extension to FDD for a class of nonlinear systems with nonlinear fault function is extensively investigated. The novelty of this paper is that the strict positive realness (SPR) requirement on the plant transfer function in existing results is removed at the expense of requiring the existence of a positive definite solution to a certain matrix inequality. Furthermore, the problems of stabilization and robust stabilization by fault-tolerant control (FTC) and robust FTC are studied respectively, and fault-tolerant controllers are designed to stabilize the closed-loop systems. An aircraft example and a numerical example are included to verify the applicability of the proposed diagnosis methods.


93B30 System identification
93E12 Identification in stochastic control theory
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[1] BASSEVILLE M., Detection of Abrupt Changes-Theory and Applications (1993)
[2] CHEN J., Robust Model-based Fault Diagnosis for Dynamic Systems (1999) · Zbl 0920.93001 · doi:10.1007/978-1-4615-5149-2
[3] DEMETRIOU, M. Robust adaptive techniques for sensor fault detection and diagnosis. Proceedings of the 37th IEEE Conference on Decision and Control. Florida, USA. pp.1143–1148.
[4] DOI: 10.1016/0005-1098(90)90018-D · Zbl 0713.93052 · doi:10.1016/0005-1098(90)90018-D
[5] DOI: 10.1080/00207179408923112 · Zbl 0813.93003 · doi:10.1080/00207179408923112
[6] DOI: 10.1016/S0959-1524(97)00016-4 · doi:10.1016/S0959-1524(97)00016-4
[7] DOI: 10.1109/37.9163 · doi:10.1109/37.9163
[8] IOANNOU P. A., Robust Adaptive Control (1995)
[9] DOI: 10.1016/0005-1098(84)90098-0 · Zbl 0539.90037 · doi:10.1016/0005-1098(84)90098-0
[10] JIANG, B., LIU, X. P. and ZHANG, S. Y. Robust stabilization for a class of non-linear large-scale systems with unmatched uncertainties. Proceedings of the ACC. Seattle, WA, USA. pp.2707–2711.
[11] DOI: 10.2514/2.4448 · doi:10.2514/2.4448
[12] DOI: 10.1049/ip-d.1988.0038 · Zbl 0647.93027 · doi:10.1049/ip-d.1988.0038
[13] NARENDRA K. S., stable Adaptive Systems (1989) · Zbl 0758.93039
[14] NOURA, H., PONSART, J. C. and THEILLIOL, D. Sensor fault-tolerant control method applied to a winding machine. Proceedings of 4th IFAC Symposium on Fault Detection Supervision and Safety for Technical Process. Budapest, Hungary. pp.798–803.
[15] DOI: 10.2514/3.20730 · doi:10.2514/3.20730
[16] PATTON R. J., Fault Diagnosis in Dynamic Systems-Theory and Application (1989)
[17] SCHREIER, G., RAGOT, J., PATTON, R. J. and FRANK, P. M. Observer design for a class of non-linear systems. Proceedings of the IFAC Symposium on Fault Detection, Supervision and Safety for Technical Process: SAFEPROCESS. Hull, UK. pp.483–488.
[18] STAROSWIECKI, M. and GEHIN, A.L. From control to supervision. Proceedings of the IFAC Safeprocess. Budapest, Hungary. pp.312–323.
[19] THEILLIOL, D., NOURA, H. and SAUTER, D. Faulttolerant control method for actuator and component faults. Proceedings of the IEEE CDC. Tampa, USA. pp.604–609.
[20] DOI: 10.1080/002071797223659 · Zbl 0887.93022 · doi:10.1080/002071797223659
[21] DOI: 10.1109/9.508919 · Zbl 0858.93040 · doi:10.1109/9.508919
[22] DOI: 10.1016/S0005-1098(96)00155-0 · Zbl 0874.93058 · doi:10.1016/S0005-1098(96)00155-0
[23] DOI: 10.1080/00207728208926337 · Zbl 0475.93069 · doi:10.1080/00207728208926337
[24] DOI: 10.1016/0005-1098(76)90041-8 · Zbl 0345.93067 · doi:10.1016/0005-1098(76)90041-8
[25] WUNNENBERG, J. and FRANK, P. M. Model-based residual generation for dynamic systems with unknown inputs. Proceedings of the 12th IMACS World Congress on Scientific Computation. Paris, France. pp.435–437.
[26] ZORAN G., Lyapunov Matrix Equation in System Stability and Control (1995)
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