Operational Decision Analysis and Optimization Method of Submarine Integrated Defense against Torpedo in Uncertain Environment

doi:10.12382/bgxb.2022.0651

Abstract

Abstract:

There are three kinds of uncertain information, including unknown target, unknown target motion and unknown underwater environment, in submarine defense situation. A combined optimization framework based on uncertain information for making decisions of submarine defense against torpedoes is constructed. A random search optimization model based on Monte Carlo methods is designed, and then the particle swarm optimization (PSO) method based on discrete boundary contraction is used to calculate the local optimal decision instead of the best resolution. A tactical confrontation simulation model is established to select and optimize the submarine defense torpedo strategies. In details, for different torpedo alarm positions and action strategies, the two defense strategies, namely steering-diving and steering-bait under three types of uncertainty conditions, are comprehensively considered by taking “safety margin” as an evaluation standard. The selection boundaries of the two strategies and the decision-making suggestions under different combat situations are given, respectively. The experiment demonstrates that,the non-convergence of target solution is the most important factor affecting the defense action, and the decision-making accuracy of submarine steering angle based on PSO is ± 10 °/20 °; uder the same conditions, the acceleration ratio of the proposed framework can reach 92-156 compared with that of the traditional search method, and 10-16 compared with that of the parallel computing method. The proposed method could buy more time for decision making under the real-time requirements.

Key words: uncertain information, submarine defense against torpedoes, particle swarm optimization method, process simulation

CLC Number:

TP391.9

YANG Jing, LU Minghua, GUO Liqiang, MA Jieqiong, WU Jinping, ZHANG Hui. Operational Decision Analysis and Optimization Method of Submarine Integrated Defense against Torpedo in Uncertain Environment[J]. Acta Armamentarii, 2024, 45(2): 564-573.

Figures/Tables 11

References 22

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D/n mile	X/(°)	速度比	N_s	安全余量	潜艇转向决策/(°)
			10	0.1296	90.0
2.0	-150	6∶15	36	0.1305	85.0
			72	0.1303	87.5
			100	0.305	86.4
			10	0.0208	-160.0
2.2	75	8∶25	36	0.0208	-145.0
			72	0.0209	-142.5
			100	0.0209	-140.4
			10	0.0774	-90.0
2.4	150	8∶25	36	0.0773	-95.0
			72	0.0799	-92.5
			100	0.0799	-91.8

D/n mile	X/(°)	速度比	N_s	安全余量	潜艇转向决策/(°)
			10	0.1296	90.0
2.0	-150	6∶15	36	0.1305	85.0
			72	0.1303	87.5
			100	0.305	86.4
			10	0.0208	-160.0
2.2	75	8∶25	36	0.0208	-145.0
			72	0.0209	-142.5
			100	0.0209	-140.4
			10	0.0774	-90.0
2.4	150	8∶25	36	0.0773	-95.0
			72	0.0799	-92.5
			100	0.0799	-91.8

D/n mile	X/(°)	速度比	安全余量	四元决策
			0.4301	55°,-0.0487rad, 0.3843h, 2.8788rad
2.0	-150	6∶8∶15	0.4301	55°,-0.0226rad,0.2702h,-2.6692rad
			0.4301	55°,-0.0185rad,0.2389h,3.1097rad
			0.4307	55°,0rad,0.0419h,-0.0778rad
			0.2505	-55°,0.0829rad,0.0349h,0.4555rad
2.2	75	8∶11∶25	0.2760	-75°,0.0187rad,0.0354h,1.2924rad
			0.2744	-65°,0.0801rad,0.0418h,1.1677rad
			0.2696	-65°,0.0489rad,0.0460h,1.4982rad
			0.4616	-65°,0.0718rad,0.0102h,0.0737rad
2.4	150	8∶11∶25	0.4610	-55°,0.0828rad,0.3136h,1.1068rad
			0.4610	-55°,0.0099rad,0.1717h,-1.3028rad
			0.4610	-55°,0.0422rad,0.3636h,-1.6728rad

D/n mile	X/(°)	速度比	安全余量	四元决策
			0.4301	55°,-0.0487rad, 0.3843h, 2.8788rad
2.0	-150	6∶8∶15	0.4301	55°,-0.0226rad,0.2702h,-2.6692rad
			0.4301	55°,-0.0185rad,0.2389h,3.1097rad
			0.4307	55°,0rad,0.0419h,-0.0778rad
			0.2505	-55°,0.0829rad,0.0349h,0.4555rad
2.2	75	8∶11∶25	0.2760	-75°,0.0187rad,0.0354h,1.2924rad
			0.2744	-65°,0.0801rad,0.0418h,1.1677rad
			0.2696	-65°,0.0489rad,0.0460h,1.4982rad
			0.4616	-65°,0.0718rad,0.0102h,0.0737rad
2.4	150	8∶11∶25	0.4610	-55°,0.0828rad,0.3136h,1.1068rad
			0.4610	-55°,0.0099rad,0.1717h,-1.3028rad
			0.4610	-55°,0.0422rad,0.3636h,-1.6728rad

态势	D/n mile	X/(°)	速度比	安全余量	四元决策
1	2.0	-150	6∶8∶15	0.4301	55°,-0.0487rad,0.3843h,2.8788rad
2	2.1	-75	8∶11∶25	0.2022	65°,-0.0829rad,0.0315h,-0.4172rad
3	2.2	75	8∶11∶25	0.2505	-55°,0.0829rad,0.0349h,0.4555rad
4	2.4	150	8∶11∶25	0.4616	-65°,-0.0718rad,0.0102h,0.0737rad
5	2.6	30	6∶8∶18	0.3255	-125°,-0.6112rad,0.0554h,0.4148rad
6	2.7	105	6∶8∶18	0.6531	-45°,0.2837rad,0.0756h,2.7000rad