基于改进灰狼算法的天波雷达定位模型 
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Sky-Wave Radar Location Model Based on Improved Grey Wolf Optimization Algorithm
江南大学物联网工程学院, 江苏 无锡 214122
图 & 表
图 1. 灰狼群等级金字塔
Fig. 1. Hierarchy pyramid of grey wolf
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图 2. 双基地天波雷达无源定位模型
Fig. 2. Bistatic sky-wave radar passive location model
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图 3. CMGWO-KELM天波雷达定位模型实现流程图
Fig. 3. Location model implementation flow chart of sky-wave radar based on CMGWO-KELM
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图 4. CMGWO-KELM的目标预测位置与真实位置的对比
Fig. 4. Comparison of target prediction position and real position by CMGWO-KELM model
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图 5. 三种模型的预测误差绝对值。(a)经纬度预测误差;(b)径向距离预测误差
Fig. 5. Absolute value of the prediction error of the three models. (a) Longitude and latitude prediction error; (b) radial distance prediction error
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表 1基准测试函数
Table1. Benchmarking function
| No. | Functionname | Searchscope | Optimalvalue | Peak |
|---|
| f1 | Sphere | [-100,100] | 0 | Unimodal | | f2 | Schwefel 2.22 | [-10,10] | 0 | Unimodal | | f3 | Rastrigin | [-5.12,5.12] | 0 | Multimodal | | f4 | Ackley | [-32,32] | 0 | Multimodal |
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表 2改进GWO算法的实验结果比较
Table2. Comparison of experimental results by improved GWO algorithm
| Function | Algorithm | Optimal value | Worst value | Average value | Standard deviation |
|---|
| f1 | PSO | 0.054 | 91.180 | 22.093 | 24.477 | | GWO | 8.820×10-30 | 1.160×10-25 | 1.722×10-26 | 3.072×10-26 | | CMGWO | 3.957×10-36 | 1.458×10-32 | 2.052×10-33 | 3.727×10-33 | | f2 | PSO | 0.017 | 1.614 | 0.158 | 0.295 | | GWO | 4.555×10-17 | 3.943×10-15 | 1.040×10-15 | 1.192×10-15 | | CMGWO | 1.142×10-20 | 1.195×10-18 | 2.646×10-19 | 2.953×10-19 | | f3 | PSO | 2.987 | 15.919 | 7.927 | 3.289 | | GWO | 0.000 | 12.172 | 2.671 | 3.105 | | CMGWO | 0.000 | 6.233 | 0.661 | 1.685 | | f4 | PSO | 0.004 | 5.735 | 2.704 | 1.386 | | GWO | 5.063×10-14 | 3.597×10-13 | 1.236×10-13 | 7.578×10-14 | | CMGWO | 7.994×10-15 | 2.931×10-14 | 1.415×10-14 | 4.659×10-15 |
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表 3不同预测模型的误差绝对值对比
Table3. Absolute value comparison of different prediction models
| No. | Method | Radial distance error /km |
|---|
| 1 | AZ Analytical method location model | 20.360 | | 2 | TDOA/AZ Analytical method location model | 12.691 | | 3 | TDOA/AZ-GWO-KELM location model | 9.707 | | 4 | TDOA/AZ-CMGWO-KELM location model | 2.944 |
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宋萍, 刘以安. 基于改进灰狼算法的天波雷达定位模型[J]. 激光与光电子学进展, 2019, 56(3): 032001. Ping Song, Yian Liu. Sky-Wave Radar Location Model Based on Improved Grey Wolf Optimization Algorithm[J]. Laser & Optoelectronics Progress, 2019, 56(3): 032001.
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