Infrared and Laser Engineering, Volume. 52, Issue 11, 20230238(2023)
Research on the error distribution method of unmanned airborne electro-optical pod viewing angle
Figures & Tables(16)
Fig. 1. Geocentric coordinate system and aircraft geographic coordinate system
Fig. 7. (a) Distribution of viewing azimuth error; (b) Distribution of viewing pitch error
Fig. 8. Relation between pitch angle and total error of viewing angle
Fig. 9. Relation between pitch angle and error influence factor of aircraft attitude angle
Fig. 10. (a) Effect of aircraft attitude angle error on viewing azimuth error; (b) Effect of aircraft attitude angle error on viewing pitch error
Table 1. Distributions of random errors
View tableView in ArticleTable 1. Distributions of random errors
Error source Symbol Error distribution Standard deviation $ /{(}^{\circ }) $ Random error value Aircraft attitude $ \delta {\psi }_{a} $ Normal distribution $ {\sigma }_{{\psi }_{a}}=0.2 $ $ \delta {\psi }_{a}=\sigma {\psi }_{a}\cdot Randn\left( \right) $ $ \delta {\theta }_{a} $ Normal distribution $ {\sigma }_{{\theta }_{a}}=0.1 $ $ \delta {\theta }_{a}=\sigma {\theta }_{a}\cdot Randn\left( \right) $ $ \delta {\varphi }_{a} $ Normal distribution $ {\sigma }_{{\varphi }_{a}}=0.1 $ $ \delta {\varphi }_{a}=\sigma {\varphi }_{a}\cdot Randn\left( \right) $ Platform vibration isolator $ \delta {\psi }_{b} $ Normal distribution $ {\sigma }_{{\psi }_{b}}=0.1 $ $ \delta {\psi }_{b}=\sigma {\psi }_{b}\cdot Randn\left( \right) $ $ \delta {\theta }_{b} $ Normal distribution $ {\sigma }_{{\theta }_{b}}=0.1 $ $ \delta {\theta }_{b}=\sigma {\theta }_{b}\cdot Randn\left( \right) $ $ \delta {\varphi }_{b} $ Normal distribution $ {\sigma }_{{\varphi }_{b}}=0.1 $ $ \delta {\varphi }_{b}=\sigma {\varphi }_{b}\cdot Randn\left( \right) $ Target pointing $ \delta \alpha $ Uniform distribution $\delta {\alpha }_{\mathrm{m}\mathrm{a}\mathrm{x} }=0.001\;5$ $ \delta \alpha =2\delta {\alpha }_{\mathrm{m}\mathrm{a}\mathrm{x}}\left(Rand\left( \right)-0.5\right) $ $ \delta \beta $ Uniform distribution $\delta {\beta }_{\mathrm{m}\mathrm{a}\mathrm{x} }=0.001\;5$ $ \delta \beta =2\delta {\beta }_{\mathrm{m}\mathrm{a}\mathrm{x}}\left(Rand\left( \right)-0.5\right) $
Table 2. Error influence factor
View tableView in ArticleTable 2. Error influence factor
Error source $ {\sigma }_{total\_i}/{(}^{\circ }) $ $ {\tau }_{i} $ $ \delta {\psi }_{a} $ 0.2012 1.0061 $ \delta {\theta }_{a} $ 0.0943 0.9430 $ \delta {\varphi }_{a} $ 0.0344 0.3440 $ \delta {\psi }_{b} $ 0.1002 1.0019 $ \delta {\theta }_{b} $ 0.0946 0.9465 $ \delta {\varphi }_{b} $ 0.0345 0.3445 $ \delta \alpha $ $8.665\;1\times {10}^{-4}$ 0.5777 $ \delta \beta $ $8.664\;3\times {10}^{-4}$ 0.5776
Table 3. Error distribution results of weighted distribution method
View tableView in ArticleTable 3. Error distribution results of weighted distribution method
Error source Weight coefficient Standard deviation $ /{(}^{\circ }) $ $ \delta {\psi }_{a} $ 0.1753 $ {\sigma }_{weight\_{\psi }_{a}}=\text{0.046\;7} $ $ \delta {\theta }_{a} $ 0.1642 $ {\sigma }_{weight\_{\theta }_{a}}=\text{0.043\;7} $ $ \delta {\varphi }_{a} $ 0.0599 $ {\sigma }_{weight\_{\varphi }_{a}}=\text{0.016\;0} $ $ \delta {\psi }_{b} $ 0.1753 $ {\sigma }_{weight\_{\psi }_{b}}=\text{0.046\;7} $ $ \delta {\theta }_{b} $ 0.1642 $ {\sigma }_{weight\_{\theta }_{b}}=\text{0.043\;7} $ $ \delta {\varphi }_{b} $ 0.0599 $ {\sigma }_{weight\_{\varphi }_{b}}=\text{0.016\;0} $ $ \delta \alpha $ 0.1006 $ \delta {\alpha }_{weight\_\mathrm{m}\mathrm{a}\mathrm{x}}=\text{0.026\;8} $ $ \delta \beta $ 0.1006 $ \delta {\beta }_{weight\_\mathrm{m}\mathrm{a}\mathrm{x}}=\text{0.026\;8} $ $ {\sigma }_{total\_weight} $ 0.09133344
Table 4. Error allocation results based on ISSA
View tableView in ArticleTable 4. Error allocation results based on ISSA
Error source Standard error $ /{(}^{\circ }) $ $ \delta {\psi }_{a} $ $ {\sigma }_{IS S A\_{\psi }_{a}}=\text{0.148\;2} $ $ \delta {\theta }_{a} $ $ {\sigma }_{IS S A\_{\theta }_{a}}=\text{0.031\;2} $ $ \delta {\varphi }_{a} $ $ {\sigma }_{IS S A\_{\varphi }_{a}}=\text{0.125\;6} $ $ \delta {\psi }_{b} $ $ {\sigma }_{IS S A\_{\psi }_{b}}=\text{0.027\;3} $ $ \delta {\theta }_{b} $ $ {\sigma }_{IS S A\_{\theta }_{b}}=\text{0.171\;1} $ $ \delta {\varphi }_{b} $ ${\sigma }_{IS S A\_{\varphi }_{b} }=\text{0.046\;5}$ $ \delta \alpha $ $ \delta {\alpha }_{IS S A\_\mathrm{m}\mathrm{a}\mathrm{x}}=\text{0.195\;1} $ $ \delta \beta $ $ \delta {\beta }_{IS S A\_\mathrm{m}\mathrm{a}\mathrm{x}}=\text{0.064\;8} $ $ {\sigma }_{total\_IS S A} $ 0.26624896
Table 5. Distribution method effect comparison
View tableView in ArticleTable 5. Distribution method effect comparison
Distribution method Total error of viewing angle $ /{(}^{\circ }) $ Margin of error distribution $ /{(}^{\circ }) $ Equal distribution $ {\sigma }_{total\_mean}=\text{0.072\;134\;04} $ 0.1941 Weighted distribution $ {\sigma }_{total\_weight}=0.091\;333\;44 $ 0.1749 ISSA algorithm distribution ${\sigma }_{total\_IS S A}=0.266\;248\;96$ 2.3347×10−8
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Chunsheng Sun, Yilun Wu. Research on the error distribution method of unmanned airborne electro-optical pod viewing angle[J]. Infrared and Laser Engineering, 2023, 52(11): 20230238
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Received: Jun. 20, 2023
Accepted: --
Published Online: Jan. 8, 2024
The Author Email: Wu Yilun (wyl2013581@163.com)
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