雷达跟踪用/spl α /-/spl β /-/spl γ /滤波器的稳定条件和稳态误差

SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545) Pub Date : 2000-07-26 DOI:10.1109/SICE.2000.889644

Y. Kosuge, M. Ito, T. Okada

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引用次数: 5

摘要

给出了/spl α /-/spl β /-/spl γ /滤波器稳定的充分必要条件。我们还证明了存在两种不同的稳定/spl α /-/spl β /-/spl γ /滤波器，其中一种是由卡尔曼滤波方程导出的，另一种是由衰落记忆滤波方程导出的。我们推导了等速目标下/spl α /-/spl β /-/spl γ /滤波器的稳态方差方程。并给出了这些方差为正的充分必要条件。进一步证明了该条件等价于稳定性条件。

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A stability condition and steady state errors of an /spl alpha/-/spl beta/-/spl gamma/ filter for radar tracking

We present the necessary and sufficient condition that an /spl alpha/-/spl beta/-/spl gamma/ filter is stable. We also show that there exist two different stable /spl alpha/-/spl beta/-/spl gamma/ filters one of which is derived from Kalman filter equations and another from fading memory filter equations. We derive equations of the steady state variances of an /spl alpha/-/spl beta/-/spl gamma/ filter for a constant velocity target. We also present the necessary and sufficient condition that these variances become positive. Furthermore, we show that this condition is equivalent to the stability condition.

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SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545)

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