Abstract
In this paper, an <TEX>$\mathfrak{H}$</TEX>_/<TEX>$\mathfrak{H}_{\infty}$</TEX> fault detection and isolation (FDI) observer design problem is investigated for discrete-time delayed systems. To that end, a bank consisting of the sensor's number of observers is introduced. Each residual should be sensitive to a certain partial group of faults, but robust against the disturbance as far as possible. We formulate this multiobjective FDI problem as <TEX>$\mathfrak{H}$</TEX>_/<TEX>$\mathfrak{H}_{\infty}$</TEX> observers design problem. Sufficient design condition is expressed as iterative linear matrix inequalities. The fault is then detected and isolated by evaluating the residuals through an FDI decision logic. A computer simulation is provided for verification of the proposed technique.
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