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Esmaeel A. Bagherpour,Mohammad-Reza Ha’iri-Yazdi,Mohammad J. Mahjoob 대한기계학회 2014 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.28 No.12
In this paper, we deal with residual vector generation for fault detection problems in linear systems via unknown input observer (UIO)when the so-called observer matching condition is not satisfied. Based on the relative degree between unknown input and output, a vectorof the auxiliary output is introduced so that the observer matching condition is satisfied with respect to the vector. Auxiliary outputs arerelated to the derivatives of measured signals. However, differentiation leads to excessive amplification of measurement noise. A dynamicallyequivalent configuration of linear systems is developed using successive integrations to avoid differentiation. As such, auxiliaryoutputs are constructed without differentiation. Then, the equivalent dynamic system and its corresponding auxiliary outputs are used togenerate the residual vector via an exponentially converging UIO. Fault detection in the generated residual vector is also investigated. Finally, the effectiveness of the proposed method is shown via numerical simulation.