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| Research on Differential Game Cooperative Confrontation Guidance Law Method |
| SU Shan，XIE Yongji3，BAI Yulian1，LIU Yintian，SHAN Yongzhi |
| 1. School of Astronautics， Harbin Institute of Technology， Harbin 150001， Heilongjiang， China；
2. Shanghai Electro-Mechanical Engineering Institute， Shanghai 201109， China；
3. Beijing Electro-Mechanical Engineering Institute， Beijing 100074， China；
4. Aviation Ammunition Institute， NORINCO Group， Harbin 150001， Heilongjiang， China
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Abstract In order to solve the multi-vs-one interception problem, the cooperative confrontation guidance law based on differential game was studied, and the multi-vs-one linear relative motion equation was constructed. By analyzing the principle of game theory, the performance function of two-side game confrontation was constructed, and the state transition matrix was used to reduce the dimension of the state equation. Based on the optimal control principle, the cooperative confrontation guidance law from multi-vs-one confrontation game angle was solved. By analyzing the process of two-stop-one confrontation, the differential game guidance law of two-stop-one cooperative confrontation is obtained. For different types of targets, the simulation of two-stop-one guidance law is carried out for performance verification, so as to reflect the effectiveness of the guidance law proposed in this paper in the process of cooperative interception of targets.
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Received: 24 September 2021
Published: 12 July 2022
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2022, Vol. 5 
