1991
DOI: 10.1021/ac00022a739
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Adaptive Kalman Filtering

Abstract: The increased power of small computers makes the use of parameter estimation methods attractive. Such methods have a number of uses in analytical chemistry. When valid models are available, many methods work well, but when models used in the estimation are in error, most methods fail. Methods based on the Kalman filter, a linear recursive estimator, may be modified to perform parameter estimation with erroneous models.Modifications to the filter involve allowing the filter to adapt the measurement model to the… Show more

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Cited by 49 publications
(12 citation statements)
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“…Aside from nonlinear system methods, AKF methods have been studied to solve problems where mainly the settled and experiential parameters are given. The representative IAE [17], MMAE [18], and AFKF [19] are proposed based on the thought that the model parameter and noise statistics are modified with the observation and judgment during the filtering process. From a literature search, it was seen that some improvements in AKF [36][37][38] were presented recently.…”
Section: Kalman Filter and Its Improvementmentioning
confidence: 99%
See 1 more Smart Citation
“…Aside from nonlinear system methods, AKF methods have been studied to solve problems where mainly the settled and experiential parameters are given. The representative IAE [17], MMAE [18], and AFKF [19] are proposed based on the thought that the model parameter and noise statistics are modified with the observation and judgment during the filtering process. From a literature search, it was seen that some improvements in AKF [36][37][38] were presented recently.…”
Section: Kalman Filter and Its Improvementmentioning
confidence: 99%
“…On the one hand, the adaptive Kalman filter (AKF) was proposed focusing on the parameter adjustment to approximate the filtering process to the practical system. Then common AKF includes innovation-based adaptive estimation (IAE) [17], multiple model adaptive estimation (MMAE) [18] and adaptive fading Kalman filter (AFKF) [19]. On the other hand, some methods focus on nonlinear systems, such as extended Kalman filter (EKF) [20], unscented Kalman filter (UKF) [21], noise-robust filter [22] and other estimation methods [23,24].…”
Section: Introductionmentioning
confidence: 99%
“…In practical use, several data-based methods are applied to determine Q and S matrices, see e.g. [2], [15]. In simulation, these matrices are defined as a part related to the model uncertainties X and to noise behavior in the measurement vector Y .…”
Section: Extended Kalman Filter and Residuals Generationmentioning
confidence: 99%
“…According to the convolution property that two Gaussians convolve to make another Gaussian [ 26 ], the result of new Gaussian form integrating the UWB and the structured light scanner can be written as: where and …”
Section: Data Fusion Strategymentioning
confidence: 99%