Abstract
In this paper, we present an unified approach for fault detection and isolation in discrete-time systems affected by noises and faults on measurement and state equations. The proposed robust fault detection filter will be designed under less restrictive conditions compared with classical fault detection filter. After having parameterized the minimum-time left inverse of the system, the degrees of freedom remaining available will be computed to generate an optimal faults estimation. The latter is minimally sensitive to state and measurement noise.
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