A necessary and sufficient condition for the stability of an α-β-γ filter

Author

Kosuge, Yoshio ; Ito, Masayoshi

Author_Institution

Inf. Technol. R&D Center, Mitsubishi Electr. Corp., Kanagawa, Japan

fYear

2001

fDate

2001

Firstpage

52

Lastpage

57

Abstract

We present a necessary and sufficient condition for the stability of an α-β-γ filter that can be used even when the values of filter gains α, β and γ are larger than 1. We also present the optimal choice of the α, β, γ combination of an α-β-γ filter. For choice, we use the steady state errors of the predicted position of the α-β-γ filter. More exactly, we use the steady state variance for a constant velocity target under the condition that the steady state errors for a constant jerk (derivative of the acceleration) target are the same

Keywords

Kalman filters; stability; state estimation; tracking filters; α-β-γ filter; Kalman filters; constant velocity target; filter gains; necessary and sufficient condition; stability; state estimation; steady state errors; steady state variance; tracking filter; Acceleration; Equations; Information filtering; Information filters; Radar tracking; Stability; State estimation; Steady-state; Sufficient conditions; Target tracking;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers

Conference_Location

Nagoya

Print_ISBN

0-7803-7306-5

Type

conf

DOI

10.1109/SICE.2001.977805

Filename

977805