An application of eigenstructure assignment to robust residual design for FDI

Daltan, T.; Patton, R.J.; Chen, J.

doi:10.1049/cp:19960530

Cited by 9 publications

(5 citation statements)

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“…In this case, all the solutions to Problem FSO are given by the following equation through (12), (13) and (14).…”

Section: Preliminariesmentioning

confidence: 99%

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Robust fault detection in linear systems based on full-order state observers

Duan

2007

J. Control Theory Appl.

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A parametric approach to robust fault detection in linear systems with unknown disturbances is presented. The residual is generated using full-order state observers (FSO). Based on an analytical solution to a type of Sylvester matrix equations, the parameterization of the observer gain matrix is given. In terms of the design degrees of freedom provided by the parametric observer design and a group of introduced parameter vectors, a sufficient and necessary condition for fullorder state observer design with disturbance decoupling is then established. By properly constraining the design parameters according to this proposed condition, the effect of the disturbance on the residual signal is also decoupled, and a simple algorithm is developed. The presented approach offers all the degrees of design freedom. Finally, a numerical example illustrates the effect of the proposed approach.

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“…In this case, all the solutions to Problem FSO are given by the following equation through (12), (13) and (14).…”

Section: Preliminariesmentioning

confidence: 99%

“…Step 4 Based on the parameters s i , p i , g i , i = 1, 2, · · · , n, obtained in Step 3, calculate the observer gain matrix L according to (13), (14) and (15), and the weighting matrix W according to (20).…”

Section: Solution To Problem Fsrfdmentioning

confidence: 99%

Robust fault detection in linear systems based on full-order state observers

Duan

2007

J. Control Theory Appl.

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“…Such a problem is known, in the literature, as robust fault detection or fault detection using unknown input observers and has been considered by many workers (see for example WuÈ ennenberg (1990), Patton and Chen (1991), Hou and MuÈ ller (1994), Chen et al (1996), Dalton et al (1996), Duan et al (1997Duan et al ( , 1999 and Duan and Patton (1998)). Concerning observer-based approaches for robust fault detection, many researchers have used the full-order state observers (see for example Patton et al (1987), Patton andChen (1991, 1992), Park and Rizzoni (1994), Jorgensen et al (1995), Dalton, et al (1996), Duan et al (1997Duan et al ( , 1999 and Shen et al (1998)). The types of approach are simple because a full-order state observer employs a similar structure as the open-loop system and has only one coe cient matrix (the observer gain) to be designed.…”

Section: Introductionmentioning

confidence: 99%

Robust fault detection using Luenberger-type unknown input observers-a parametric approach

Duan

Patton

2001

Int. J. Sys. Sci.

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A new parametric observer-based approach for robust fault detection in multivariable linear systems with unknown disturbances is proposed. The residual is generated through utilizing a Luenberger function observer. By using a parametric solution to a class of generalized Sylvester matrix equations, a parametrization is proposed for the residual generator on the basis of a Luenberger function observer. By further properly constraining the design parameters provided in the Luenberger observer design, the eVect of the unknown disturbance is decoupled from the residual signal. The proposed approach provides all the degrees of freedom and is demonstrated to be simple and eVective.

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“…In [7], [8] current spectrum signatures are used for detection of different faults like blockage, cavitation, and damaged impeller. In [9], [4] model based approaches are used. In [9] the nonlinear system is modelled by a set of fuzzy functions and in [4] a linearized version of the system model is used.…”

Section: Introductionmentioning

confidence: 99%

“…In [9], [4] model based approaches are used. In [9] the nonlinear system is modelled by a set of fuzzy functions and in [4] a linearized version of the system model is used. Both of these consider both detection and isolation of faults in systems containing centrifugal pumps.…”

Section: Introductionmentioning

confidence: 99%

Model based fault diagnosis in a centrifugal pump application using structural analysis

Kallesøe

Izaili-Zamanabadi²,

Rasmussen

et al.

Proceedings of the 2004 IEEE International Conference on Control Applications, 2004.

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Abstract-A model based approach for fault detection and isolation in a centrifugal pump is proposed in this paper. The fault detection algorithm is derived using a combination of structural analysis, Analytical Redundant Relations (ARR) and observer designs. Structural considerations on the system are used to indentify four subsystems each sensitive to a subset of the faults under consideration. Either an ARR or a residual observer is designed for each of the four subsystems. The four obtained residuals are then used for fault isolation. The applicability of the algorithm is illustrated by applying it to an industrial benchmark. The benchmark tests have shown that the algorithm is capable of detection and isolation of five different faults in the mechanical and hydraulic parts of the pump.

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An application of eigenstructure assignment to robust residual design for FDI

Cited by 9 publications

References 0 publications

Robust fault detection in linear systems based on full-order state observers

Robust fault detection in linear systems based on full-order state observers

Robust fault detection using Luenberger-type unknown input observers-a parametric approach

Model based fault diagnosis in a centrifugal pump application using structural analysis

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