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针对动压-过载约束下的无人机追逃机动控制问题,为优化设计,提出了采用微分对策的时间最优机动决策算法。首先建立无人机追逃质点动力学模型,然后根据双方极值原理,建立系统在动压-过载约束与追逃性能指标下的哈密顿-雅可比方程,通过此方程将无人机追逃机动控制问题转化为两点边值优化问题,并利用配点法求解两点边值问题的数值解,从而获得相应无人机的最优机动控制策略。最后以某型无人机纵向追逃控制为例进行数值仿真。仿真结果表明,改进算法不仅能有效求解无人机追逃双方的最优机动控制策略,而且满足期望的追踪性能指标和动压-过载约束条件。
Aiming at the problem of UAV flight control under dynamic pressure-overload constraints, a time-optimal maneuver decision-making algorithm using differential game is proposed to optimize the design. Firstly, the dynamics model of UAV chasing particles is established. Then according to the extremum principle of both sides, the Hamilton-Jacobi equation under dynamic pressure-overload constraint and chase-off performance index is established. By this equation, The maneuvering control problem is transformed into two-point boundary value optimization problem, and the numerical solution of the two-point boundary value problem is solved by using the matching point method, so as to obtain the optimal maneuvering control strategy of the corresponding UAV. Finally, a type of UAV longitudinal chase escape control as an example for numerical simulation. The simulation results show that the improved algorithm can not only effectively solve the optimal maneuvering control strategy of UAV, but also meet the desired tracking performance index and dynamic pressure-overload constraints.