基于hp自适应伪谱法的变后掠翼导弹弹道优化设计

为了提高变后掠翼导弹的终端速度,对其末端弹道优化问题进行了研究。基于终端速度最大,采用后掠角和攻角双变量优化方案,建立了在动压、过载及边界条件等多约束条件下的弹道优化模型。鉴于全局伪谱法在解决复杂多约束条件下最优控制问题存在的局限性,采用将全局伪谱法与hp型有限元法融合的hp自适应伪谱法,将弹道优化问题转化为非线性规划问题,并将仿真结果与已有的粒子群算法的最优弹道对比,验证了模型和方法的正确性。结果表明,采用hp自适应伪谱法得到的最优弹道在保证了较高的命中精度的前提下,能够以更高的终端速度和更佳的弹体姿态攻击目标。

Optimization Design for Trajectory of Morphing-wing Missile Based on Hp-adaptive Pseudo-spectral Method

In order to improve the final velocity of morphing-wing missile, a terminal trajectory optimization for morphing-wing missile was investigated. The sweep angle and attack angle were chosen as optimal control variables,and the trajectory optimization model was established with the multi-constraints of the dynamic pressure,the overload,and the bound conditions and so on. In view of the limitations of the global pseudo-spectral method to solve the optimal control problem with complex and multi-constraints,the hp-adaptive pseudo-spectral method combining the global pseudo-spectral method with hp finite element method was adopted to transform the trajectory optimization problem into a nonlinear programming problem,and the results were compared with those of the particle swarm optimization to confirm the correctness of the model and the method. The results show that the optimal trajectory of hp-adaptive pseudo-spectral method can ensure higher terminal speed and better attitude to attack targets with higher interception precision.