×

Fault estimation – a standard problem approach. (English) Zbl 1011.93049

Summary: This paper presents a range of optimization based approaches to fault diagnosis. A variety of fault diagnosis problems are reformulated in the so-called standard problem set-up introduced in the literature on robust control. Once the standard problem formulations are given, the fault diagnosis problems can be solved by standard optimization techniques. The proposed methods include (1) fault diagnosis (fault estimation, (FE)) for systems with model uncertainties; FE for systems with parametric faults, and FE for a class of nonlinear systems.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
90B25 Reliability, availability, maintenance, inspection in operations research
65K10 Numerical optimization and variational techniques
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Robust and Optimal Control. Prentice-Hall: New Jersey, 1996. · Zbl 0999.49500
[2] Doyle, IEEE Transactions on Automatic Control 34 pp 831– (1989)
[3] An integrated approach to controls and diagnostics: The 4-parameter controller. Proceedings of the American Control Conference, 1988; 824-835.
[4] An ?? filtering approach to robust detection of failures in dynamical systems. Proceedings of the 33rd Conference on Decision and Control, Lake Buena Vista, FL, U.S.A., 1994; pp. 3037-3039.
[5] A robust failure detection and isolation algorithm. Proceedings of the 34th Conference on Decision and Control, New Orleans, LA, U.S.A., 1995; pp. 2377-2382.
[6] Robust Estimation and Failure Detection. Springer: Berlin, 1998. · doi:10.1007/978-1-4471-1586-1
[7] Residual generation for fault diagnosis: Nominal and robust design. Thesis. Department of Electrical Engineering, Linköping, Sweden, 1998.
[8] An ?? approach to robust control and fault detection. Proceedings of the American Control Conference, San Francisco, CA, USA, 1993; 3197-3201.
[9] Robust FDI systems and ?? optimization. Proceedings of the 32nd Conference on Decision and Control, San Antonio, Texas, USA, 1993; 1710-1715.
[10] Optimal and Robust Design of Integrated Control and Diagnostic Modules. Proceedings of the American Control Conference, Baltimore, MD, USA, 1994; 2060-2064.
[11] Integrated control and fault detection for a mechanical servo process. Proceedings of the IFAC Symposium SAFEPROCESS’97, Hull, England, 1997; 1252-1257.
[12] Grimble M. J. Integrating control and fault diagnosis: A separation result. Proceedings of IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Hull, U.K., 1997; 323-328.
[13] Robust model-based fault diagnosis for dynamic systems, Kluwer Academic Publishers: Dordrecht, 1998.
[14] Standard ?? filtering formulation of robust fault detection. Preprints of 4th IFAC Symposium on Fault Detection Supervision and Safety for Technical Processes, SAFEPROCESS’ 2000, Budapest, Hungary, 2000; 256-261.
[15] Fault Detection and Diagnosis in Engineering Systems. Marcel Dekker: New York, 1998.
[16] ?? detection filter design for linear systems: Comparison of two approaches. Proceedings of the 13th IFAC World Congress, Vol. N., San Francisco, CA, U.S.A., 1996; 37-42.
[17] Improving sensitivity of ?? detection filters in linear systems. Proceedings of 11th IFAC Symposium System Identification, SYSID’97. Kitakyushu, Japan, 1997; 1195-1200.
[18] Edelmayer, Automatica 33 pp 471– (1997)
[19] Integration of control and fault detection: Nominal and robust design. Proceedings of IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Hull, U.K., 1997; 341-346.
[20] Integrated Control and Fault Diagnosis Design: A Polynomial Approach. IEE Modelling and Signal Processing for Fault Diagnosis, Leicester, U.K., 1996.
[21] Stoustrup, Sensor Review 17 pp 157– (1997)
[22] Frank, Automatica 26 pp 459– (1990)
[23] Frank, European Journal of Control 2 pp 6– (1996) · Zbl 0857.93015 · doi:10.1016/S0947-3580(96)70024-9
[24] Fault Diagnosis in Dynamic Systems?Theory and Application. Prentice-Hall: New Jersey, 1989.
[25] Detection of Abrupt Changes?Theory and Application (1st edn). Prentice-Hall: Englewood Cliffs, NJ, 1993.
[26] Patton, Control and Dynamic Systems 74 pp 171– (1996)
[27] A separate-bias observer for nonlinear discrete-time system. Proceedings of IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Hull, U.K., 1997; 516-521.
[28] Fault diagnosis of universal motors during run-down by nonlinear signal processing. Preprints of 3th IFAC Symposium on Fault Detection Supervision ans Safety for Technical Processes, Hull, U.K., 1997; 426-431.
[29] Sliding mode observers for fault detection. Proceedings of IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Hull, U.K., 1997; 522-527.
[30] Current developments in the theory of FDI. Preprints of 4th IFAC Symposium on Fault Detection Supervision ans Safety for Technical Processes, SAFEPROCESS’ 2000 Budapest, Hungary, 2000; 16-27.
[31] Nonlinear fault diagnosis of differential/algebraic system. Proceedings of IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Hull, U.K., 1997; 510-515.
[32] Observer design for a class of nonlinear systems. Proceedings of IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Hull, U.K., 1997; 498-503.
[33] A nonlinear observer approach: experience with two hydraulic systems. Proceedings of IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Hull, U.K., 1997; 504-509.
[34] Design of fault detectors using ?? optimization. Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000; 4327-4328.
[35] Fault diagnosis for non-minimum phase systems using ?? optimization. Proceedings of the American Control Conference, Washington DC, U.S.A., 2001; 4432-4436.
[36] Ferreres, International Journal of Robust and Nonlinear Control 6 pp 743– (1996)
[37] Structured uncertainty in control system design. Proceedings of 24th IEEE Conference on Decision and Control, Fort Lauderdale, FL, U.S.A., 1985; 260-265.
[38] Tøffner-Clausen S, Andersen P. ?-synthesis for the coupled mass benchmark problem. Proceedings of the American Control Conference, Albuquerque, New Mexico, U.S.A., 1997; 2611-2615.
[39] A new approach to ?-synthesis for mixed perturbation sets. Proceedings of the 3rd European Control Conference, Rome, Italy, 1995; 147-152.
[40] Estimated Frequency Domain Model Uncertainties used in Robust Controller Design?A ?-approach. Proceedings of the 3rd Conference on Control Applications, Glasgow, U.K., 1994; 1585-1590.
[41] Controller design with mixed uncertainties. Proceedings of American Control Conference, Baltimore, Maryland, U.S.A., 1994; 2333-2337.
[42] Observer based optimal fault detector. Proceedings of the 13th IFAC World Congress, Vol. N: San Francisco, CA, U.S.A., 1996; 187-192.
[43] Packard, Systems & Control Letters 22 pp 79– (1994)
[44] Stability and gain scheduling in nonlinear control. Workshop notes from Young Researchers Week, Algarve, Portugal, 1996; 15-21.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.