Systems Engineering and Electronics ›› 2026, Vol. 48 ›› Issue (5): 1715-1727.doi: 10.12305/j.issn.1001-506X.2026.05.27
• Guidance, Navigation and Control • Previous Articles Next Articles
Xiuxia YANG(
), Wenqiang YAO(
), Yi ZHANG(
), Hao YU(
)
Received:2025-04-02
Online:2026-05-27
Published:2026-05-27
Contact:
Wenqiang YAO
E-mail:yangxiuxia@126.com;15615750842@163.com;changyee@tom.com;yhao0516@163.com
CLC Number:
Xiuxia YANG, Wenqiang YAO, Yi ZHANG, Hao YU. Optimization of multi-UAV cooperative search paths under communication constraints[J]. Systems Engineering and Electronics, 2026, 48(5): 1715-1727.
Table 1
Test function"
| 测试函数 | 名称 | 特征 | 最小值 | 搜索空间 |
| Sphere | 单峰 | 0 | [−100,100] | |
| Rosenbrock | 单峰 | 0 | [−2.048,2.048] | |
| Schwefel P2.22 | 单峰 | 0 | [−10,10] | |
| Quartic noise | 单峰 | 0 | [−1.28,1.28] | |
| De Jong | 单峰 | 0 | [−1.28,1.28] | |
| Alpine | 多峰 | 0 | [−10,10] | |
| Ackley | 多峰 | 0 | [−32,32] | |
| Schwefel | 多峰 | 0 | [−500,500] | |
| Rastrigin | 多峰 | 0 | [−5.12,5.12] | |
| Noncontinuous Rastrigin | 多峰 | 0 | [−5.12,5.12] | |
| Weierstrass | 多峰 | 0 | [−0.5,0.5] | |
| Penalized 1 | 多峰 | 0 | [−50,50] | |
| Penalized 2 | 多峰 | 0 | [−50,50] |
Table 2
Comparison algorithm parameter"
| 算法 | 主要参数 |
| CACHHO | |
| HHO | |
| NHPSO | |
| ABC | |
| WPA | |
| PSO | |
| ACO |
Table 3
Test data result"
| 函数 | CACHHO | NHPSO | HHO | ABC | WPA | PSO | ACO |
| 0.00E+00 | 2.61E−23 | 0.00E+00 | 6.40E−15 | 0.00E+00 | 1.24E+01 | 8.30E+02 | |
| ±0.00E+00 | ±5.03E−23 | ±0.00E+00 | ±1.41E−16 | ±0.00E+00 | ±9.10E−01 | ±8.47E+01 | |
| 2.82E−10 | 2.21E+01 | 6.05E−08 | 2.66E+01 | 2.50E+01 | 3.05E+01 | 1.84E+02 | |
| ±4.74E-09 | ±1.74E+00 | ±9.12E−08 | ±3.31E+01 | ±2.69E+01 | ±5.92E+01 | ±1.16E+01 | |
| 0.00E+00 | 1.12E−15 | 0.00E+00 | 1.96E−13 | 0.00E+00 | 4.58E+00 | 4.72E+01 | |
| ±0.00E+00 | ±1.39E−15 | ±0.00E+00 | ±7.28E−13 | ±0.00E+00 | ±1.02E+00 | ±9.64E+00 | |
| 9.66E−07 | 1.49E−03 | 4.08E−06 | 6.15E−01 | 1.41E−04 | 1.30E−03 | 9.58E−03 | |
| ±1.33E-08 | ±4.74E−04 | ±4.95E−06 | ±7.55E−01 | ±2.76E−04 | ±4.34E−03 | ±8.39E−03 | |
| 0.00E+00 | 6.24E−36 | 0.00E+00 | 1.60E+01 | 0.00E+00 | 0.00E+00 | 5.25E+02 | |
| ±0.00E+00 | ±1.49E−35 | ±0.00E+00 | ±3.60E+01 | ±0.00E+00 | ±0.00E+00 | ±1.77E+02 | |
| 0.00E+00 | 7.93E−12 | 0.00E+00 | 1.81E−01 | 9.40E−323 | 5.09E−01 | 7.09E+00 | |
| ±0.00E+00 | ±2.52E−11 | ±0.00E+00 | ±5.03E−01 | ±8.30E−324 | ±5.94E−01 | ±2.95E+00 | |
| 4.44E−16 | 8.88E−13 | 9.37E−12 | 1.79E+00 | 4.00E−15 | 5.39E+00 | 1.79E+01 | |
| ±3.93E−15 | ±7.09E−13 | ±9.35E−15 | ±1.12E+00 | ±7.08E−14 | ±6.22E+00 | ±5.31E+01 | |
| 3.82E−04 | 1.18E+01 | 3.86E−04 | 1.86E+03 | 6.51E+03 | 6.30E+03 | 2.57E+03 | |
| ±7.59E−04 | ±3.55E+00 | ±3.56E−05 | ±1.03E+02 | ±8.40E+02 | ±3.61E+02 | ±2.59E+02 | |
| 0.00E+00 | 8.93E−08 | 0.00E+00 | 1.31E+01 | 0.00E+00 | 2.12E+01 | 1.90E+02 | |
| ±0.00E+00 | ±5.01E−07 | ±0.00E+00 | ±6.14E+00 | ±0.00E+00 | ±8.88E+00 | ±7.34E+01 | |
| 0.00E+00 | 8.05E−07 | 0.00E+00 | 1.89E+01 | 0.00E+00 | 3.50E+01 | 1.21E+02 | |
| ±0.00E+00 | ±2.17E−06 | ±0.00E+00 | ±1.96E+00 | ±0.00E+00 | ±5.73E+00 | ±1.96E+01 | |
| 0.00E+00 | 0.00E+00 | 0.00E+00 | 2.66E−02 | 0.00E+00 | 9.39E+00 | 1.81E+01 | |
| ±0.00E+00 | ±0.00E+00 | ±0.00E+00 | ±3.27E−02 | ±0.00E+00 | ±1.77E+00 | ±4.20E+00 | |
| 6.51E−10 | 1.05E−24 | 7.65E−08 | 3.56E−21 | 2.32E+01 | 2.60E+00 | 1.81E+01 | |
| ±5.48E−10 | ±1.65E−24 | ±7.20E−08 | ±3.95E−21 | ±7.12E+00 | ±4.89E+00 | ±7.26E+00 | |
| 5.16E−10 | 1.47E−23 | 2.90E−07 | 1.07E−15 | 2.89E−01 | 1.00E−01 | 7.04E+03 | |
| ±3.97E−10 | ±2.68E−23 | ±9.37E−08 | ±5.66E−14 | ±3.08E−02 | ±2.41E−01 | ±9.44E+01 |
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