面向组网雷达干扰任务的多机伴随式编队航迹预规划方法

doi:10.12305/j.issn.1001-506X.2024.08.28

Abstract

Abstract:

For the multi-target penetrating netted radar system scenario, in order to effectively improve the interference effect and penetration success rate, formation trajectory planning is particularly important. Therefore, this paper firstly builds a trajectory planning model. Starting from the four aspects of the aircraft's own constraints, trajectory safety, constraints among aircrafts, and task completion effect, combined with the characteristics of the multi-syndrome jammers formation and its environment, a relatively complete trajectory planning criterion is proposed to form a new overall objective function. Secondly, in order to effectively describe the maneuver properties of each aircraft and the connection between the accompanying jammer and the target aircraft, and improve the algorithm' s search ability, a multi-spherical vector-based (MS) method is proposed. At the same time, in order to further improve the exploration and development capabilities of the proposed algorithm, a hybrid particle swarm optimization with track point by track point learning (TLHPSO) algorithm is proposed, and the two algorithms are combined to form MS-TLHPSO trajectory planning method. Finally, the simulation scenarios are constructed for verification. The comparison results show that the MS method and the TLHPSO optimization algorithm have obvious advantages in the ability to find the optimal value. The proposed algorithm in this paper is superior to other algorithms in terms of the average value of the optimal solution in different initial scenarios, which fully shows that the algorithm in this paper can plan formation tracks with higher reliability under the premise of ensuring stability.

Key words: netted radar, formation trajectory, planning criterion, multi-spherical vector, track point by track point learning

CLC Number:

TN974

Weiqi ZOU, Chaoyang NIU, Wei LIU, Yanyun WANG, Jiaqi ZHAN. Multi-syndrome jammers formation trajectory preplanning method for netted radar jamming task[J]. Systems Engineering and Electronics, 2024, 46(8): 2807-2819.

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相关参数	具体数值
最大迭代次数Ger	300
粒子数I	100
惯性系数最大值W_max	1
惯性系数最小值W_min	0.4
学习因子最大值c_max	2.5
学习因子最小值c_min	1.5
评估周期T₁	4
逐航迹点学习周期T₂	50

威胁类型	中心坐标	威胁距离
雷达节点1	(2 000, 3 500)	3 000
雷达节点2	(3 500, 500)	3 000
雷达节点3	(4 500, 5 000)	3 000
雷达节点4	(4 500, 7 500)	3 000
雷达节点5	(6 600, 2 000)	3 000
雷达节点6	(8 000, 5 500)	3 000

案例	威胁类型	起点坐标	终点坐标
案例1	目标飞机1	(2 000, 1 000, 1 500)	(4 850, 7 900, 1 600)
	伴飞干扰机1	(2 040, 970, 1 460)	(4 890, 7 870, 1 560)
	伴飞干扰机2	(1 960, 1 040, 1 450)	(4 820, 7 930, 1 560)
	目标飞机2	(5 500, 1 100, 1 700)	(5 000, 8 000, 1 500)
	伴飞干扰机3	(5 460, 1 070, 1 650)	(4 970, 7 970, 1 460)
案例2	目标飞机1	(1 000, 5 000, 1 500)	(7 700, 8 000, 1 600)
	伴飞干扰机1	(1 030, 4 970, 1 460)	(7 730, 7 970, 1 560)
	伴飞干扰机2	(960, 5 030, 1 460)	(7 670, 8 030, 1 560)
	目标飞机2	(2 000, 1 000, 1 600)	(8 000, 7 700, 1 500)
	伴飞干扰机3	(1 970, 970, 1 560)	(7 970, 7 670, 1 460)

算法	最佳值	最差值	平均值	标准值
PSO	61 408.48	121 548.60	97 988.52	14 890.010
HIPSO-MSOS	71 944.86	115 643.50	88 804.44	11 697.120
TLHPSO	53 232.81	96 403.49	75 743.96	12 239.290
MSPSO	38 532.29	77 287.50	49 390.56	9 067.083
MS-HIPSO-MSOS	34 992.36	52 625.60	40 684.50	4 381.268
MS-TLHPSO	28 267.81	34 743.45	31 519.64	1 770.986

算法	最佳值	最差值	平均值	标准值
PSO	77 337.96	111 948.1	92 770.48	10 825.57
HIPSO-MSOS	67 573.74	108 921.2	85 384.60	11 694.55
TLHPSO	49 503.04	92 075.05	68 768.80	11 709.960
MSPSO	35 662.75	49 534.39	40 123.17	3 826.639
MS-HIPSO-MSOS	31 403.77	41 296.28	34 359.15	2 988.954
MS-TLHPSO	29 013.56	36 412.56	31 575.41	2 098.378

Multi-syndrome jammers formation trajectory preplanning method for netted radar jamming task

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初始场景设置				算法
目标飞机数量	伴飞干扰机数量	障碍威胁数量	雷达威胁数量	PSO	HIPSO-MSOS	TLHPSO	MSPSO	MS-HIPSO-MSOS	MS-TLHPSO
2	5	2	5	112 021.8	102 047.3	88 304.52	58 416.52	45 616.73	36 981.38
2	5	3	5	124 920.8	112 531.7	98 072.05	62 730.71	43 647.15	39 319.46
2	5	2	6	134 623.2	122 112.4	105 192.8	65 916.11	54 213.27	40 541.88
2	5	3	6	139 458.3	126 480.2	106 159.8	70 790.07	54 569.38	42 264.37
3	8	2	7	143 154.3	129 523.3	108 216.8	70 764.17	55 080.31	43 629.74
3	8	3	7	161 610.2	144 658.9	114 317.2	77 080.74	55 089.16	44 525.14
3	8	2	8	176 181.7	159 536.2	125 512.2	93 452.32	65 466.46	55 514.68
3	8	3	8	189 767.2	171 007.3	138 266.4	93 887.86	67 802.71	57 264.87

案例	航迹未偏离情况下协同干扰效果成本	航迹存在偏离情况下协同干扰效果成本(20组实验)
案例	航迹未偏离情况下协同干扰效果成本	最大值	最小值	平均值
案例1	3 619.90	3 620.75	3 620.07	3 620.41
案例2	5 427.64	5 428.95	5 427.75	5 428.05

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