|
|
论文:2023,Vol:41,Issue(4):774-783 |
|
|
引用本文： |
|
|
王中, 温志文, 蔡卫军, 王佩. 典型态势下水下攻防过程博弈策略研究[J]. 西北工业大学学报 |
|
|
WANG Zhong, WEN Zhiwen, CAI Weijun, WANG Pei. Research on game strategy of underwater attack and defense process in typical situation[J]. Journal of Northwestern Polytechnical University |
|
|
|
|
|
|
|
| 典型态势下水下攻防过程博弈策略研究 |
|
| 王中1, 温志文1, 蔡卫军1, 王佩2 |
|
1. 中国船舶集团公司 第705研究所, 陕西 西安 710077;
2. 西北工业大学 航天学院, 陕西 西安 710072 |
| 摘要: |
| 针对典型态势下水下攻防问题,建立了由来袭重型鱼雷、潜艇和反鱼雷鱼雷(anti-torpedo torpedo,ATT)构成的三方攻防问题数学模型。在考虑三方博弈对抗的条件下,将三方博弈问题转化为潜艇与来袭重型鱼雷之间的追逃博弈问题和潜艇发射的ATT与来袭重型鱼雷之间的拦截规避博弈问题,基于最优控制理论和微分博弈理论研究了追逃拦截规避三方最优博弈问题,综合追逃两方、拦截规避两方最优性能设计了三方博弈性能评价函数,根据双边极值最优必要条件推导了三方博弈追逃拦截规避对抗策略。开展了不同工况下三方采用博弈策略前后的仿真试验,结果表明所设计的水下攻防过程博弈策略能够提升潜艇逃逸、反鱼雷鱼雷拦截和重型鱼雷打击效果。 |
| 关键词:
水下攻防
最优控制
微分博弈
反鱼雷鱼雷
|
|
| Research on game strategy of underwater attack and defense process in typical situation |
|
| WANG Zhong1, WEN Zhiwen1, CAI Weijun1, WANG Pei2 |
|
1. 705 th Research Institute, China State Shipbuilding Corporation Limited, Xi'an 710077, China;
2. School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| Aiming at the problem of underwater attack and defense in typical situations, a mathematical model of three-party attack and defense problem composed of torpedo, submarines and anti-torpedo torpedo is established. Under the condition of considering three-party game confrontation, the three-party game problem is transformed into the pursuit and escape game problem between the submarine and torpedo, and the interception and evasion game problem between the submarine launched ATT and the torpedo. Based on the optimal control theory and differential game theory, the three-party optimal game problem is studied, and the three-party game performance evaluation function is designed based on the optimal performance of the two parties of pursuit and escape and the two parties of interception and evasion. According to the optimal necessary condition of the bilateral extremum, the strategy of pursuing, escaping, blocking and avoiding in the three-party game is deduced. The effectiveness of the game strategy designed in the underwater attack and defense process is verified by simulations. The results show that the game strategy can improve the effects of submarine escape, anti-torpedo torpedo interception and torpedo attack. |
| Key words:
underwater attack and defense
optimal control
differential game
anti-torpedo torpedo
|
|
| 收稿日期: 2022-09-05
修回日期:
|
| DOI: 10.1051/jnwpu/20234140774 |
| 基金项目: 国防基础科研计划(JCKY2021206B005)资助 |
| 通讯作者: 温志文(1992—),中国船舶集团公司博士研究生,主要从事水中兵器总体技术研究。e-mail:wenzhiwen@mail.nwpu.edu.cn
Email：wenzhiwen@mail.nwpu.edu.cn |
| 作者简介: 王中(1968—),中国船舶集团公司研究员,主要从事水中兵器总体技术研究。
|
|
| 相关功能 |
|
|
|
|
| 作者相关文章 |
|
| 王中 在本刊中的所有文章 |
| 温志文 在本刊中的所有文章 |
| 蔡卫军 在本刊中的所有文章 |
| 王佩 在本刊中的所有文章 |
|
|
|
|
|
|
|
|
参考文献: |
|
|
[1] 李博文. 基于博弈论的导弹拦截制导律研究[D]. 沈阳: 沈阳理工大学, 2017 LI Bowen. Research on missile interception guidance law based on game theory[D]. Shenyang: Shenyang Ligong University (in Chinese)
[2] 朱雅萌, 张海瑞, 周国峰, 等. 一种基于深度强化学习的机动博弈制导律设计方法[J]. 航天控制, 2022, 40(3): 28-36 ZHU Yameng, ZHANG Hairui, ZHOU Guofeng, et al. A design method of maneuvering game guidance law based on deep reinforcement learning[J]. Aerospace Control, 2022, 40(3): 28-36 (in Chinese)
[3] 苏山, 谢永杰, 白瑜亮, 等. 微分对策协同对抗制导律方法研究[J]. 空天防御, 2022, 5(2): 58-64 SU Shan, XIE Yongjie, BAI Yuliang, et al. Research on differential game cooperative confrontation guidance law method[J]. Air & Space Defense, 2022, 5(2): 58-64 (in Chinese)
[4] TALEBI S, SIMAAN M A, QU Z. Cooperative, non-cooperative and greedy pursuers strategies in multi-player pursuit-evasion games[C]//2017 IEEE Conference on Control Technology and Applications, 2017: 2049-2056
[5] FARUQI F A. Integrated navigation, guidance, and control of missile systems:3-D dynamic model[R]. DSTO-TR-2805, 2013
[6] SINGH Sharad Kumar, PUDURU Viswanadha Reddy. Dynamic network analysis of a target defense differential game with limited observations[J]. IEEE Transactions on Control of Network Systems, 2023, 10(1): 308-320
[7] GARCIA E, CASBEER D W, PACHTER M. The complete differential game of active target defense[J].Journal of Optimization Theory and Applications, 2021, 191(1): 1-25
[8] 李宗吉, 张西勇, 王树宗. 基于变结构的反鱼雷鱼雷纵向拦截导引律设计[J]. 深圳大学学报, 2014, 31(5): 473-478 LI Zongji, ZHANG Xiyong, WANG Shuzong. Design of anti-torpedo torpedo longitudinal intercepting guidance law based on variable structure[J]. Journal of Shenzhen University Science and Engineering, 2014, 31(5): 473-478 (in Chinese)
[9] YE Huijuan, ZHANG Xiyong. A new anti-torpedo torpedo's guidance law based on variable structure control[C]//2017 3rd IEEE International Conference on Control Science and Systems Engineering, 2017: 163-166
[10] 叶慧娟, 张西勇, 王昕晔. 基于变结构的反鱼雷鱼雷双滑模制导律[J]. 海军工程大学学报, 2018, 30(1): 91-97 YE Huijuan, ZHANG Xiyong, WANG Xinye. Anti-torpedo torpedo twin sliding mode guidance law based on variable structure control[J]. Journal of Naval University of Engineering, 2018, 30(1): 91-97 (in Chinese)
[11] 张锐, 袁志勇, 刘忠乐, 等. 反鱼雷鱼雷变指令周期导引律设计[J]. 海军工程大学学报, 2019, 31(4): 36-41 ZHANG Rui, YUAN Zhiyong, LIU Zhongle, et al. Design of variable command periodic guidance law for anti-torpedo torpedo[J]. Journal of Naval University of Engineering, 2019, 31(4): 36-41 (in Chinese)
[12] 孙振新, 顾天军. 水面舰艇反鱼雷鱼雷拦截策略研究[J]. 水下无人系统学报, 2020, 28(6): 699-705 SUN Zhenxin, GU Tianjun. Research on anti-torpedo torpedo interception strategy of surface ship[J]. Journal of Unmanned Undersea Systems, 2020(6): 699-705 (in Chinese)
[13] WU Baoqi, GUAN Xiaocun, GUAN Shaohua, et al. A capture probability analytic model for the electromagnetic launched anti-torpedo torpedo[J]. Defence Technology, 2022,18(2): 261-270
[14] ENGWERDA J. LQ dynamic optimization and differential games[M]. New Jersey: John Wiley & Sons, 2005 |
|
|
|
|
|
|
|
