Unscented Kalman Observer
Assia Daid, Éric Busvelle, Mohamed Aidène
Abstract
Assia Daid, Éric Busvelle, Mohamed Aidène
Abstract
The extended Kalman filter is an exponentially converging observer as soon as it is written in a canonical form of observability and in its high-gain form. It is shown that unlike extended Kalman filter, unscented Kalman filter can not be an exponentially converging observer. We propose a slight modification of the unscented Kalman filter to build an exponentially converging observer called unscented Kalman observer. Performances of this new observer are illustrated on an example of geolocation problem.
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The extended Kalman filter is an exponentially converging observer as soon as it is written in a canonical form of observability and in its high-gain form. It is shown that unlike extended Kalman filter, unscented Kalman filter can not be an exponentially converging observer. We propose a slight modification of the unscented Kalman filter to build an exponentially converging observer called unscented Kalman observer. Performances of this new observer are illustrated on an example of geolocation problem.
Key concepts: Alpha beta filter, Kalman filter, Observer (physics), Unscented transform, Fast Kalman filter, Control theory (sociology), Observability, Invariant extended Kalman filter