自导作用距离不确知下基于最大熵分布的有利提前角研究

代振; 韩庆伟; 李阳; 吴吉伟; 沈湘钟

doi:10.11993/j.issn.2096-3920.2023-0102

自导作用距离不确知下基于最大熵分布的有利提前角研究

doi: 10.11993/j.issn.2096-3920.2023-0102

代振^{1, 2},
韩庆伟^{1, 2},
李阳¹,
吴吉伟¹,
沈湘钟¹

1.
海军士官学校兵器系, 安徽蚌埠, 233000
2.
海军士官学校工程技术研发中心, 安徽蚌埠, 233000

详细信息

作者简介:
代振：代　振(1991-), 男, 博士, 讲师, 主要研究方向为水声信号处理、水中兵器作战运用

中图分类号: TJ630
计量
- 文章访问数: 6
- HTML全文浏览量: 5
- PDF下载量: 0
- 被引次数: 0
出版历程
- 收稿日期: 2023-08-29
- 修回日期: 2023-10-15
- 录用日期: 2023-11-20
- 网络出版日期: 2024-01-18

Study on the Favorable Advance Angle Based on Maximum Entropy Distribution under the Uncertainty of Self guided Action Distance

1.
Weapon Department of Naval Petty Officer Academy, Bengbu 233000, China
2.
Engineering Technology R & D Center of Naval Petty Officer Academy, Bengbu 233000, China

摘要

摘要: 针对鱼雷自导作用距离不确知情况下的有利提前角解算问题, 首先分析自导作用距离对鱼雷射击的影响, 指出当鱼雷的实际自导作用距离小于其装订值时, 解算得到的有利提前角会偏小, 并会导致鱼雷的发现概率明显降低。其次定义了鱼雷的加权平均发现概率, 在此基础上提出了一种最大化加权平均发现概率的有利提前角解算方法。然后基于最大熵原理, 给出了鱼雷实际自导作用距离的2种最大熵分布模型, 得到了该分布模型下的有利提前角求解公式。最后通过仿真得到了鱼雷自导作用距离不确知情况下的有利提前角。
- 声自导鱼雷 /
- 自导作用距离 /
- 有利提前角 /
- 最大熵分布
Abstract: In response to the problem of solving the favorable lead angle in the case of uncertain homing range of torpedoes, the influence of homing range on torpedo firing is first analyzed. It is pointed out that when the actual homing range of torpedoes is less than its binding value, the favorable lead angle obtained from the calculation will be smaller, and the probability of torpedo discovery will be significantly reduced. Secondly, the weighted average discovery probability of torpedoes was defined, and based on this, a favorable lead angle calculation method was proposed to maximize the weighted average discovery probability. Then, based on the principle of maximum entropy, two maximum entropy distribution models for the actual homing range of torpedoes were given, and the formula for solving the favorable lead angle under this distribution model was obtained. Finally, the favorable advance angle of torpedo homing was obtained through simulation under the condition of uncertain operating distance.
- acoustic homing torpedo /
- self-guided action distance /
- favorable lead angle /
- maximum entropy distribution

HTML全文

图 1 鱼雷直进射击基本模型

Figure 1. Basic model of torpedo shooting

下载: 全尺寸图片幻灯片

图 2 不同自导作用距离下的有利提前角

Figure 2. Favorable lead angle under different homing action distance

下载: 全尺寸图片幻灯片

图 3 不同自导作用距离下的发现概率

Figure 3. Discovery probability under different homing action distance

下载: 全尺寸图片幻灯片

图 4 均匀分布下的鱼雷加权平均发现概率

Figure 4. Weighted average discovery probability of torpedoes under uniform distribution

下载: 全尺寸图片幻灯片

图 5 高斯分布下的鱼雷加权平均发现概率

Figure 5. Weighted average discovery probability of torpedoes under Gaussian distribution

下载: 全尺寸图片幻灯片

图 6 不同提前角下的发现概率对比

Figure 6. Weighted average discovery probability of torpedoes under uniform distribution

下载: 全尺寸图片幻灯片

参考文献(14)

[1]	孟庆玉, 张静远, 王鹏, 等. 鱼雷作战效能分析(第2版)[M]. 北京: 国防工业出版社, 2020.
[2]	张静远. 鱼雷作战使用与作战能力分析[M]. 北京: 国防工业出版社, 2005.
[3]	何建忠, 傅调平, 吴晓海. 声自导鱼雷射击有利提前角的显式解析研究[J]. 计算机与数字工程, 2011, 39(11): 21-24. doi: 10.3969/j.issn.1672-9722.2011.11.007 He Jianzhong, Fu Diaoping, Wu Xiaohai. Explicit resolution of optimal advance angle for sound-guided torpedo[J]. Computer and Digital Engineering, 2011, 39(11): 21-24. doi: 10.3969/j.issn.1672-9722.2011.11.007
[4]	董严红, 卫翔, 孙春生. 鱼雷纯方位攻击提前角优化分析[J]. 火力与指挥控制, 2014, 39(8): 121-127. doi: 10.3969/j.issn.1002-0640.2014.08.030 Dong Yanhong, Wei Xiang, Sun Chunsheng. Optimization of Torpedo Bearing-only Attack Angle in Advance[J]. Fire Control & Command Control, 2014, 39(8): 121-127. doi: 10.3969/j.issn.1002-0640.2014.08.030
[5]	孙权. 能量约束下鱼雷最优攻击速度和提前角[J]. 鱼雷技术, 2017, 25(1): 77-80. Sun Quan. Optimal attack speed and leading angle of torpedo under energy constraint[J]. Torpedo Technology, 2017, 25(1): 77-80.
[6]	孙华春, 张会, 李长文. 声自导鱼雷射击的有利提前角优化模型[J]. 舰船电子工程, 2011, 31(8): 40-51. doi: 10.3969/j.issn.1627-9730.2011.08.011 Sun Huachun, Zhang Hui, Li Changwen. Optimization of lead angle for acoustic homing torpedo[J]. Ship Electronic Engineering, 2011, 31(8): 40-51. doi: 10.3969/j.issn.1627-9730.2011.08.011
[7]	田恒斗, 曹庆刚, 侯代文, 等. 火箭助飞鱼雷捕获概率的解析模型[J]. 兵工学报, 2013, 34(7): 916-921. Tian Hengdou, Cao Qinggang, Hou Daiwen, et al. Analytical model of rocket-assisted torpedo’s acquisition probability[J]. Acta Armamentarii, 2013, 34(7): 916-921.
[8]	袁富宇, 代志恒, 肖碧琴. 基于误差折算的鱼雷一次转角射击命中/发现概率解析计算方法[J]. 水下无人系统学报, 2020, 28(3): 303-308. doi: 10.11993/j.issn.2096-3920.2020.03.010 Yuan Fuyu, Dai Zhiheng, Xiao Bi-qin. An analytical calculation mothed of the hitting/finding probability of torpedo one-time turning-angle shooting based on error conversion[J]. Journal of Unmanned Undersea Systems, 2020, 28(3): 303-308. doi: 10.11993/j.issn.2096-3920.2020.03.010
[9]	张祥甫, 闫少坤. 基于误差融合的自导鱼雷发现概率解析方法研究[J]. 指挥控制与仿真, 2022, 44(2): 49-53. doi: 10.3969/j.issn.1673-3819.2022.02.010 Zhang Xiangfu, Yan Shaokun. Research on analytical method of homing torpedo discovery probability based on error fusion[J]. Command Control & Simulation, 2022, 44(2): 49-53. doi: 10.3969/j.issn.1673-3819.2022.02.010
[10]	李长军, 于雪泳. 采用模拟法计算空投鱼雷反潜命中概率问题[J]. 火力与指挥控制, 2008, 33(3): 131-134. doi: 10.3969/j.issn.1002-0640.2008.03.037 Li Changjun, Yu Xueyong. Research on hit probability of airborne anti-submarine torpedo using simulation method[J]. Fire Control & Command Control, 2008, 33(3): 131-134. doi: 10.3969/j.issn.1002-0640.2008.03.037
[11]	陈菁, 何心怡, 雷蕾, 等. 自导作用距离对轻型鱼雷攻潜效能的影响[J]. 鱼雷技术, 2016, 24(6): 469-474. Chen Qing, He Xinyi, Lei Lei, et al. Effect of homing range on lightweight torpedoes anti-submarine operation efficiency[J]. Torpedo Tochnology, 2016, 24(6): 469-474.
[12]	任博, 岳珠峰, 崔利杰, 等. 混合数据信息下不确定性描述的改进最大熵函数法[J]. 西北工业大学学报, 2022, 40(2): 450-457. doi: 10.3969/j.issn.1000-2758.2022.02.027 Ren Bo, Yue Zhufeng, Cui Lijie, et al. An improved entorpy-based representation for mixed uncertainty about intervals and points data[J]. Journal of Northwestern Polytechnical University, 2022, 40(2): 450-457. doi: 10.3969/j.issn.1000-2758.2022.02.027
[13]	吴福仙, 温卫东. 极大似然最大熵概率密度估计及其优化解法[J]. 南京航空航天大学学报, 2017, 49(1): 110-116. Wu Fuxian, Wen Weidong. Estimation and optimization of MLE maximum entropy probability density[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2017, 49(1): 110-116.
[14]	黄乾坤, 吴娅辉. 最大熵原理及改进方法的研究现状[J]. 计测技术, 2022, 42(1): 9-17. Huang Qiankun, Wu Yahui. Research status of the maximum entropy principle and improved methods[J]. Metrology & Measurement Technology, 2022, 42(1): 9-17.