Sage Journals: Discover world-class research

Abstract

This paper proposes an observer-based fault detection method for a class of nonlinear models which have bilinear and quadratic nonlinear terms in their discrete state-space representations. Various other methods proposed in the field are related to this method or are special cases of it. A nonlinear fault detection observer is proposed such that the error dynamics are independent of an unknown disturb ance. A result is proved for the observer error dynamics and a numerical algorithm is given for calculating the observer and residual gain matrices. Sufficient conditions are also stated for fault detectability. An illustrative example is given for the problem of detecting certain faults in a hydraulic system.

Keywords

Nonlinear observer fault detection.

Get full access to this article

View all access options for this article.

References

Chen, J. , Patton, R. , and Zhang, H. 1996. 'Design of unknown input observers and fault detection filters', Int Jnl Control, 63(1), 85-105.

Daley, S. 1987. 'Application of a fast self-tuning algorithm to a hydraulic test rig', Proc Instn Mech Engrs, 201, No C4, 285-294.

Frank, P.M. 1990. 'Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy- a survey and some new results', Automatica, 26(3), 459-474.

Frank, P.M. 1991. 'Enhancement of robustness in observer-based fault detection' , Proc IFAC/IMACS Symposium, SAFEPROCESS'91, Baden-Baden, 10-13 Sep.

Frank, P.M. 1994. 'On-line fault detection in uncertain nonlinear systems using diagnostic observers: a survey', Int Jnl of Systems Science, 25(12), 2129-2154.

Gertler, J. 1991. 'Analytical redundancy methods in fault detection and isolation', Proc IFAC/IMACS Symposium, SAFEPROCESS'91 , Baden-Baden, 10-13 Sep.

Hac, A. 1992. 'Design of disturbance decoupled observer for bilinear systems'. Trans ASME, Jnl Dynamic Syst Measure, 114, 556-562.

Isidori, A. 1995. Nonlinear control systems. (3rd Edn), Springer, London.

Patton, R. , Frank, P. , and Clark, R. (Eds). 1989. Fault diagnosis in dynamic systems, theory and applications, Prentice Hall (Control engineering series), London .

10.

Selger, R. , and Frank, P. 1991. 'Robust component fault detection and isolation using nonlinear unknown input observers', Proc IFAC/ IMACS Symposium, SAFEPROCESS'91, Baden-Baden, 10-13 Sep, Vol 1, 313-318.

11.

Shields, D.N. 1996. 'Quantitative approaches for fault diagnosis based on bilinear systems', Proc 13th IFAC World Congress , San Francisco, USA, Vol N, 151-156.

12.

Wunnenberg, J. , and Frank, P.M. 1990. 'Dynamic model-based incipient fault detection concepts for robots', Proc of 11th IFAC World Congress, 13-17 Aug, Tallimm, 76-81.

A quantitative fault detection method for a class of nonlinear systems

Abstract

Keywords

Get full access to this article

References