Quantitative Approaches for Fault Diagnosis Based on Bilinear Systems

Shields, D.N.

doi:10.1016/s1474-6670(17)58720-0

Cited by 12 publications

(11 citation statements)

References 9 publications

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“…Eqns (13) It is obvious if f A*, C*} is detectable the observer matrix F can be designed to be stable by appropriate selection of W. Also if f A*, C*} is observable the eigenvalues of F can be arbitrarily assigned (Shields, 1996). A similar statement holds for the pairs {Au , C*} and f AX;~, C*}.…”

Section: Related Approachesmentioning

confidence: 94%

“…Various approaches have been considered as stated above and a short survey of these approaches can be found in Shields (1996). Research is still being done on the most general case with and without bounds on the input.…”

Section: Related Approachesmentioning

confidence: 99%

“…These are more numerically tractable and also applicable to many industrial systems where linear models are inaccurate for the case of certain operating conditions (Hac, 1992;Shields, 1996). They have been applied and tested on hydraulic systems and gas furnace systems (Shields, 1996).…”

Section: Introductionmentioning

confidence: 99%

“…In this paper the work on bilinear methods, as surveyed in Shields (1996), is extended. A nonlinear fault detection observer (NFDO) is considered for a system model which includes quadratic as well as bilinear nonlinear terms.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A quantitative fault detection method for a class of nonlinear systems

Shields

Damy

1998

Transactions of the Institute of Measurement and Control

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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 disturbance. 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.

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Section: Related Approachesmentioning

confidence: 94%

Section: Related Approachesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A quantitative fault detection method for a class of nonlinear systems

Shields

Damy

1998

Transactions of the Institute of Measurement and Control

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“…Books: Frank and Keller (1984), Basseville and Benveniste (1985), Basseville (1988), Tzafestas et al (1986, Viswanadham (1987a), ), Gertler (1998), Mangoubi (1998, Chen and Patton (1999); survey papers: Willsky (1976), Isermann (1984;1991), Frank (19861990;1994;1996), Gertler (19881991), Patton and Chen (1991a), Koeppen (1993), Patton (1993;1994), Isermann and Balle (1996), Frank and Ding (1997).…”

Section: Main Problems Concerning the Design Of Model-based Fdia Systemsmentioning

confidence: 99%

Model-based fault diagnosis in technical processes

Frank

Ding

Marcu

2000

Transactions of the Institute of Measurement and Control

134

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Fault Detection and Diagnosis in Industrial Systems

Chiang

Russell

Braatz

2001

Advanced Textbooks in Control and Signal Processing

1,133

811

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An alternative group of methods has emerged which do not require the use of an explicit model. This is the key basic construct for the data-driven paradigm. Model-free and non-parametric methods for fault detection, process optimisation and control design are currently at a particularly exciting stage of development.This new advanced textbook by Chiang, Russell and Braatz primarily tackles the data-driven routes to Fault Detection and Diagnosis. It is an outgrowth of a prior Advances in Industrial Control monograph; Russell, Chiang and Braatz. Data-driven Techniques for Fault Detection and Diagnosis in ChemicalProcesses, 2000, ISBN 1-85233-258-1. The new textbook expands the material of the monograph and gives a fuller presentation of some of the alternative modelbased methods, the analytical methods, and of the knowledge-based techniques. vi Series Editors' ForewordThis allows the reader to compare and contrast the different approaches to the problem of fault detection and diagnosis. Thus the text is suitable for advanced courses for process, chemical and control engineers.

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Quantitative Approaches for Fault Diagnosis Based on Bilinear Systems

Cited by 12 publications

References 9 publications

A quantitative fault detection method for a class of nonlinear systems

A quantitative fault detection method for a class of nonlinear systems

Model-based fault diagnosis in technical processes

Fault Detection and Diagnosis in Industrial Systems

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