• Infrared and Laser Engineering
  • Vol. 50, Issue 11, 20210039 (2021)
Ning Li1, Daozhi Wei1, Dongyang Zhang1, and Liangfu Yao2
Author Affiliations
  • 1Air and Missile Defense College, Air Force Engineering University, Xi'an 710051, China
  • 2Technical Support Teaching and Research Office of Air Force Ground Air Defense Training Base, Beijing 101300, China
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    DOI: 10.3788/IRLA20210039 Cite this Article
    Ning Li, Daozhi Wei, Dongyang Zhang, Liangfu Yao. Information fusion method of ranging-imaging guidance integrated fuze[J]. Infrared and Laser Engineering, 2021, 50(11): 20210039 Copy Citation Text show less

    Abstract

    In order to improve the detonation control accuracy of the air defense missile fuze, that is, to obtain a more accurate detonation delay time, an integrated information fusion method for the measured data of infrared imaging seeker and laser rangefinder based on particle filter was proposed. When processing multi-mode information, the measurement data of the two sensors are not on the same time reference due to the different power-on time of different sensors and the difference in sampling frequency. Therefore, the typical missile target rendezvous scenarios were chosen, for the high-frequency sampling of the laser rangefinder and the low-frequency sampling of the infrared seeker, a time alignment method based on linear interpolation was used to apply the measured data to the calculation of delay time model. On the basis of this model, a centralized data filtering algorithm for integrated sensors based on particle filtering was proposed. It is obtained through a comparison simulation experiment with the traditional extended Kalman filtering algorithm: the measurement accuracy of detection angle and azimuth angle are greatly improved under this information fusion method, and the accuracy of detonation delay time is also improved, which verifies the effectiveness of the data fusion method proposed in this paper.
    $ t_{1}=\dfrac{1}{-\dfrac{\dot q}{2 q}+\theta \tan \theta} $(1)

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    $ \begin{split} \vec{R}_{i}=&\left[R_{x i}, R_{y i}, R_{z i}\right]^{{\rm{T}}} =\\ &\left[R_{i} \cos \theta_{i}, R_{i} \sin \theta_{i} \cos \phi_{i}, R_{i} \sin \theta_{i} \sin \phi_{i}\right]^{{\rm{T}}} \end{split} $(2)

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    $ \begin{split} \vec{V}_{R}=&\left[V_{Rxi}, V_{Ryi}, V_{Rzi}\right]^{{\rm{T}}}\cdot\\ &\left[\frac{\left(R_{x(i-1)}-R_{x i}\right)}{T_{i}},\dfrac{\left(R_{y(i-1)}-R_{y i}\right)}{T_{i}}, \dfrac{\left(R_{z(i-1)}-R_{z i}\right)}{T_{i}}\right]^{{\rm{T}}} \end{split} $(3)

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    $ t_{1 i}=\frac{R_{x{i}}}{V_{R xi}}=\frac{R_{i} \cos \theta_{i}}{\left(R_{(i-1)} \cos \theta_{(i-1)}-R_{i} \cos \theta_{i}\right) / T} $(4)

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    $ \tau=t_{1 n}-\left(\mid OJ \mid / V_{f}\right) $(5)

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    $ \begin{gathered} {{\bar z}_i} = \frac{{({t_i} - {t_{ki}})({t_i} - {t_{ki + 1}})}}{{({t_{ki - 1}} - {t_{ki}})({t_{ki - 1}} - {t_{ki + 1}})}}{z_{i - 1}} + \hfill \\ \frac{{({t_i} - {t_{ki - 1}})({t_i} - {t_{ki}})}}{{({t_{ki + 1}} - {t_{ki - 1}})({t_{ki + 1}} - {t_{ki}})}}{z_{i + 1}} + \hfill \\ \frac{{({t_i} - {t_{ki - 1}})({t_i} - {t_{ki + 1}})}}{{({t_{ki}} - {t_{ki - 1}})({t_{ki}} - {t_{ki + 1}})}}{z_i} \hfill \\ \end{gathered} $(6)

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    $ K(k+1)=F K(k)+G W(k) $(7)

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    $ \begin{gathered} Z(k) = \left[ {\begin{array}{*{20}{c}} {R(k)} \\ {\theta (k)} \\ {\varphi (k)} \end{array}} \right] \hfill = \left[ {\begin{array}{*{20}{c}} {\sqrt {{x^2}(k) + {y^2}(k) + {z^2}(k)} } \\ {\arctan \left(\dfrac{{\sqrt {{y^2}(k) + {z^2}(k)} }}{{x(k)}}\right)} \\ {\arctan \left(\dfrac{{z(k)}}{{y(k)}}\right)} \end{array}} \right] + V(k) \hfill \\ \end{gathered} $(8)

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    $ q\left(x_{0}\right),\left\{x_{0}^{(i)}\right\}, w_{0}^{(i)}=\frac{p\left[z_{0} \mid x_{0}^{(i)}\right] \cdot p\left[x_{0}^{(i)}\right]}{q\left(x_{0}^{(i)} \mid z_{0}\right)} $(9)

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    $ \left\{x_{k}^{(1)}\right\}, x_{k}^{(1)}=f\left[x_{k-1}(i)\right] $(10)

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    $ w_{k}^{(i)}=w_{k-1} \frac{(i)}{q\left[z_{k} \mid x_{k}^{(i)}\right] \cdot p\left[x_{k}^{(i)} \mid x_{k-1}^{(i)}\right]}{q\left(x_{x}^{(i)} \mid x_{x-1}^{(i)}, z_{k}\right)} $(11)

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    $ \left\{x_{k}^{(i)}\right\}, w_{k}^{(i)}=\frac{1}{N} $(12)

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    $ \begin{aligned} x_{k}= &\sum_{i=1}^{N} w_{k}^{(i)} x_{z}{ }^{(0)} q\left(x_{x} \mid z_{x}\right) =\\ &\sum_{i=1}^{N} w_{k}^{(i)} \delta\left[x_{z}-x_{x}{ }^{(i)}\right] \end{aligned} $(13)

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    Ning Li, Daozhi Wei, Dongyang Zhang, Liangfu Yao. Information fusion method of ranging-imaging guidance integrated fuze[J]. Infrared and Laser Engineering, 2021, 50(11): 20210039
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