Final published version
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Research output: Contribution to Journal/Magazine › Letter › peer-review
Research output: Contribution to Journal/Magazine › Letter › peer-review
}
TY - JOUR
T1 - Non-minimal state space polynomial form of the Kalman filter for a general noise model
AU - Wilson, Emma Denise
AU - Clairon, Q.
AU - Taylor, Charles James
N1 - ©2018 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
PY - 2018/2/27
Y1 - 2018/2/27
N2 - 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.
AB - 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.
KW - state space methods
KW - state estimation
KW - state feedback
KW - Kalman filters
KW - linear quadratic control
KW - control
U2 - 10.1049/el.2017.3577
DO - 10.1049/el.2017.3577
M3 - Letter
VL - 54
SP - 204
EP - 206
JO - Electronics Letters
JF - Electronics Letters
SN - 0013-5194
IS - 4
ER -