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This paper is concerned with the fault detection filter design problem for linear time-invariant systems subject to disturbance and possible faults. To make a tradeoff between fault sensitivity and disturbance sensitivity, frameworks such as ℋ−/ℋ∞, ℋ2/ℋ∞, and ℋ∞/ℋ∞ are considered. It is shown that for ℋ−/ℋ∞ and ℋ∞/ℋ∞ frameworks, all optimal fault detection filters can be characterized by an envelope...
The increasing interest in ℋ− index in fault detection has led to some recent development in time domain investigation. This paper at first presents a necessary and sufficient condition of the ℋ− index in finite time horizon for linear time-varying systems. It is shown that the feasibility of the ℋ− index, which is given when the ℋ− index is greater than a predefined value, is equivalent to the existence...
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