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) |
|---|---|
| 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 |
|---|---|
| City | York, Engl |
| Period | 3/27/95 → 3/29/95 |
ASJC Scopus subject areas
- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality
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Cite this
Liu, B., & Si, J. (1994). Fault detection and isolation for linear time-invariant systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 3, pp. 3048-3053). IEEE.