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Non-minimal state space polynomial form of the Kalman filter for a general noise model

Research output: Contribution to Journal/MagazineLetterpeer-review

<mark>Journal publication date</mark>27/02/2018
<mark>Journal</mark>Electronics Letters
Issue number4
Number of pages3
Pages (from-to)204-206
Publication StatusPublished
Early online date19/12/17
<mark>Original language</mark>English


The optimal refined instrumental variable (RIV) method for the estimation of the Box-Jenkins (BJ) model is modified so that it functions as an optimal filter and state-estimation algorithm. In contrast to the previously developed minimal and non-minimal state space (NMSS) forms for an Auto-Regressive Moving Average with eXogenous variables (ARMAX) model, the new algorithm requires the introduction of a novel extended NMSS form. This facilitates representation of the more general noise component of the BJ model. The approach can be used for adaptive filtering and state variable feedback control.

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