ADAPTIVE KALMAN FILTERING THROUGH FUZZY LOGIC

− In this paper a development of an adaptive Kalman filter through a fuzzy inference system (FIS ) is outlined. The adaptation is concerned with the impo sition of conditions under which the filter measurement noise covariance matrix R or the process noise covariance matrix Q are estimated. The adaptive adjustment is carried o ut using a FIS based on the whiteness of the filter innovation sequence (IS) and employing the covariance-matching techniqu e. If a statistical analysis of the IS shows discrepancies with its expected statistics then the FIS adjusts a factor t hr ugh which the matrices R or Q are estimated. This fuzzy adaptive Kalman filter is tested on a numerical example. The results are compared with these obtained using a convention al Kalman filter and a traditionally adapted Kalman fi lter. The fuzzy-adapted Kalman filter showed better results t han its traditional counterparts.