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Fault detection via factorization approach. (English) Zbl 0703.93068
Summary: Problems of designing fault detection and identification filters in the frequency domain are formulated and solved. Using the factorization approach a characterization of all fault detection filters is derived. This enables the derivation of necessary and sufficient conditions for the existence of fault identification as well as detection and isolation filters. It is shown that these conditions are a generalization of existing results of Y. Park and J. L. Stein [Int. J. Control 48, No.3, 1121–1136 (1988; Zbl 0659.93007)]. The formulas of constructing the filters are also derived. In comparison with the algorithms given in previous work they are computationally straightforward and simple. Finally, the proposed method for designing fault identification filters is extended so that more practical cases can be handled.

##### MSC:
 93E10 Estimation and detection in stochastic control theory 93E11 Filtering in stochastic control theory 93E12 Identification in stochastic control theory 94C12 Fault detection; testing in circuits and networks
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##### References:
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