In this paper, secure cooperative guidance problem for multiple missiles intercepting a maneuvering target with impact angle coordination and obstacle avoidance is addressed. Firstly, based on the linearized dynamic equations, the secure cooperative guidance problem is formulated. In addition, the order reduction is conducted and the guidance problem is transformed to a noncooperative game problem. The Nash solution of the game problem is solved, leading to the derivation of guidance law. Furthermore, the optimal evasion distance with respect to the obstacle of each missile is acquired by solving a quadratic programming. Finally, in order to demonstrate the effectiveness of the guidance law, a numerical example is provided.

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Secure Cooperative Guidance with Impact Angle Coordination and Obstacle Avoidance

  • Pengfei Shi,
  • Piaoyi Su,
  • Zhexin Shi,
  • Jianglong Yu,
  • Xiwang Dong,
  • Zhang Ren,
  • Qingke Tan,
  • Rui Lv,
  • Zhuo Liang

摘要

In this paper, secure cooperative guidance problem for multiple missiles intercepting a maneuvering target with impact angle coordination and obstacle avoidance is addressed. Firstly, based on the linearized dynamic equations, the secure cooperative guidance problem is formulated. In addition, the order reduction is conducted and the guidance problem is transformed to a noncooperative game problem. The Nash solution of the game problem is solved, leading to the derivation of guidance law. Furthermore, the optimal evasion distance with respect to the obstacle of each missile is acquired by solving a quadratic programming. Finally, in order to demonstrate the effectiveness of the guidance law, a numerical example is provided.