### Abstract

This paper is concerned with the problem of detecting and isolating faults by an observer. If the initial error of state estimation is zero, we show that faults can be isolated if and only if the system has a left-invertible detectability matrix which is defined in the present paper. For the more realistic case of nonzero initial error of state estimation, we develop fault isolation filters such that failures to be detected can be asymptotically isolated. We give necessary and sufficient conditions for the existence of such filters. We provide a method to design a fault isolation filter. This design procedure guarantees to isolate up to n faults, where n is the dimension of the system.

Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Publisher | IEEE |

Pages | 3048-3053 |

Number of pages | 6 |

Volume | 3 |

State | Published - 1994 |

Event | Proceedings of the 2nd IEEE International Symposium on Requirements Engineering - York, Engl Duration: Mar 27 1995 → Mar 29 1995 |

### Other

Other | Proceedings of the 2nd IEEE International Symposium on Requirements Engineering |
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City | York, Engl |

Period | 3/27/95 → 3/29/95 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 3, pp. 3048-3053). IEEE.

**Fault detection and isolation for linear time-invariant systems.** / Liu, Binfan; Si, Jennie.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the IEEE Conference on Decision and Control.*vol. 3, IEEE, pp. 3048-3053, Proceedings of the 2nd IEEE International Symposium on Requirements Engineering, York, Engl, 3/27/95.

}

TY - GEN

T1 - Fault detection and isolation for linear time-invariant systems

AU - Liu, Binfan

AU - Si, Jennie

PY - 1994

Y1 - 1994

N2 - This paper is concerned with the problem of detecting and isolating faults by an observer. If the initial error of state estimation is zero, we show that faults can be isolated if and only if the system has a left-invertible detectability matrix which is defined in the present paper. For the more realistic case of nonzero initial error of state estimation, we develop fault isolation filters such that failures to be detected can be asymptotically isolated. We give necessary and sufficient conditions for the existence of such filters. We provide a method to design a fault isolation filter. This design procedure guarantees to isolate up to n faults, where n is the dimension of the system.

AB - This paper is concerned with the problem of detecting and isolating faults by an observer. If the initial error of state estimation is zero, we show that faults can be isolated if and only if the system has a left-invertible detectability matrix which is defined in the present paper. For the more realistic case of nonzero initial error of state estimation, we develop fault isolation filters such that failures to be detected can be asymptotically isolated. We give necessary and sufficient conditions for the existence of such filters. We provide a method to design a fault isolation filter. This design procedure guarantees to isolate up to n faults, where n is the dimension of the system.

UR - http://www.scopus.com/inward/record.url?scp=0028755909&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028755909&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0028755909

VL - 3

SP - 3048

EP - 3053

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -