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The paper deals with the problem of estimating
an unknown input distribution matrix for non-linear discretetime
stochastic systems. In particular, it is shown how to
use the unscented Kalman filter as an unknown input filter.
Subsequently, an analysis of the impact of unknown input decoupling
on the fault detection is performed and a suitable fault
detection condition is developed. Based on the achieved results,
a numerical optimisation-based approach is proposed that can
be used to estimate the unknown input distribution matrix.
The final part of the paper presents an illustrative example
with an induction motor, which confirms the performance of
the proposed approach.
CitationJozefowicz, R.; Witczak, M.; Puig, V. Determination of an unknown input distribution matrix for non-linear discrete-time stochastic systems. A: Mediterranean Conference on Control and Automation. "20th Mediterranean Conference on Control & Automation". Barcelona: 2012, p. 315-320.
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