Design method of fast convergence Kalman filter for estimating missile and target line-of-sight rate
A line-of-sight and filter technology, applied in navigation calculation tools, navigation through velocity/acceleration measurement, etc., can solve the problem that strapdown or semi-strapdown seekers cannot directly output line-of-sight angular rate information.
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[0064] The following demonstrates the origin of the Kalman filter of the present invention by mathematical derivation:
[0065] (1) Target-missile relative motion dynamics
[0066] Assume that the target-missile line of sight vector can be expressed as
[0067]
[0068] in, and Represent the position vectors of the target and the missile in the inertial coordinate system of the launching point, respectively. Differentiating the above formula with respect to time, we get
[0069]
[0070] in, and Represent the relative time derivative of the sight vector in the inertial coordinate system and the sight coordinate system, Represents the rotational angular velocity of the line-of-sight coordinate system relative to the inertial coordinate system, and represent the target and missile velocity vectors, respectively. The above formula is written in the projection form in the line of sight coordinate system:
[0071]
[0072] in,
[0073] L ...
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