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On the Attacker-Defender-Target Optimal Problemстатья
- Авторы: Cherkasov Oleg, Malykh Egor, Makieva Elina
- Сборник: Perspectives in Dynamical Systems II — Numerical and Analytical Approaches. DSTA 2021. Springer Proceedings in Mathematics & Statistics, vol 454
- Том: 454
- Год издания: 2024
- Место издания: Springer Proceedings in Mathematics & Statistics
- Первая страница: 113
- Последняя страница: 120
- DOI: 10.1007/978-3-031-56496-3_9
- Аннотация: The Target-Attacker-Defender problem is considered. Assumed that all participants move in a horizontal plane with velocities of constant modulus. The Attacker uses the pure chase method to pursue the Target. The Defender launched from the Target’s wingman and the role of the Target is to minimize the distance between the Defender and the Attacker when the Attacker approaches the Target at a given distance. The Defender’s strategy is also a method of pure pursuit. The angular velocity of rotation of the Target velocity vector is considered as a control variable. The structure of the dynamic system allows to reduce it to a system of less dimension. In the reduced system, the angle between velocity vector and lineof-sight Target-Attacker is considered as a new control variable. The Pontryagin maximum principal procedure allows to reduce the optimal control problem to a boundary-value problem (BVP) for a system of nonlinear differential equations of the fourth order. The system of the BVP consists of the initial variables and doesn’t include conjugate variables. For solving the BVP, the shooting method is applied. The results of solving the BVP for various values of parameters are demonstrated.
- Добавил в систему: Черкасов Олег Юрьевич