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Abstract

A fault detection filter is a full-order observer that can detect and isolate faults by constraining the residual vector due to a particular fault in a certain detection space. It is known that different faults can be perfectly isolated by designing a fault detection filter when a mutual isolability condition is satisfied. This paper discusses such a property in detail, considering the transmission zero in conjunction with the location and combination of sensors. Guidelines to choose the sensor location which enables the stable mutual isolation of different faults are proposed. Numerical results show that the fault detection filter with this sensor location is robust in the sense that it has minimal sensitivity to measurement noise.

Keywords

fault detection filter mutual isolability transmission zero sensor location

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References

Beard

Failure accommodation in linear systems through self-reorganization. Report MVT-71–1, Man-Vehicle Lab., MIT, Cambridge, Massachusetts, February 1971.

Massoumnia

A geometric approach to the synthesis of failure detection filters. IEEE Trans. Autom. Control, September 1986, AC-31 (9), 839–846.

White

J. E.

Speyer

J. L.

Detection filter design: Spectral theory and algorithms. IEEE Trans. Autom. Control, July 1987, AC-32 (7), 593–603.

Park

Rizzioni

An eigenstructure assignment algorithm for the design of fault detection filters. IEEE Trans. Autom. Control, July 1994, AC-39 (7), 1521–1524.

Douglas

R. K.

Speyer

J. L.

Robust detection filter design. J. Guidance, Control, and Dynamics, 1996, 19 (1), 214–218.

Chen

Patton

R. J.

Zhang

H.-Y.

Design of unknown input observers and robust fault detection filters. Int. J. Control, 1996, 63 (1), 85–105.

Kim

Comments on ‘Design of unknown input observers and robust fault detection filters’. Int. J. Control, 1997, 67 (2), 305–306.

Patton

Frank

Clark

Fault Diagnosis in Dynamical Systems: Theory and Applications, 1989 (Prentice-Hall International, New York).

Douglas

R. K.

Robust detection filter design. PhD dissertation, Department of Aerospace and Engineering Mechanics University of Texas, Austin, Texas, December 1993.

10.

Gertler

Residual generation in model-based fault diagnosis. Control Theory and Advanced Technol., 1993, 9 (1), 259–285.

11.

Stevens

B. L.

Lewis

F. L.

Aircraft Control and Simulation, 1992 (John Wiley, New York).

12.

McLean

Automatic Flight Control Systems, 1990 (Prentice-Hall International, New York).

13.

Sobel

K. M.

Shapiro

E. Y.

A design methodology for pitching pointing flight control systems. J. Guidance, Control, and Dynamics, 1985, 8 (2), 181–187.

14.

Schrader

C. B.

Sain

M. K.

Research on system zeros: A survey. Int. J. Control, 50 (4), 1407–1433.

15.

Davison

E. J.

Wang

S. H.

Properties and calculation of transmission zeros of linear multivariable systems. Automatica, 1974, 10 (6), 643–658.

16.

Kouvaritakis

MacFarlane

A. G. J.

Geometric approach to analysis and synthesis of system zeros: Part I. Square systems. Int. J. Control, 1976, 23 (2), 149–166.

17.

Kabamba

P. T.

Meerkov

S. M.

Poh

E.-K.

H₂-optimal zeros. IEEE Trans. Autom. Control, 1994, AC-39 (6), 1298–1301.

18.

Rachid

Some conditions on zeros to avoid step-response extrema. IEEE Trans. Autom. Control, 1995, AC-40 (8), 1501–1503.

19.

Syrmos

V. L.

On the finite transmission zero assignment problem. Automatica, 1993, 29 (4), 1121–1126.

20.

Chen

B. M.

Zheng

D.-Z.

Simultaneous finite- and infinite-zero assignment of linear systems. Automatica, 1995, 31 (4), 643–648.

Optimal sensor location for robust fault detection filter

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