为增强变后掠翼航弹的滑翔能力,研究了一种变后掠翼航弹的滑翔弹道优化设计问题.分析了变后掠翼航弹的气动特性,将弹道优化问题转化为最优控制问题,利用最小值原理,推导了滑翔段飞行距离最大的必要条件,在此基础上采用粒子群算法对攻角及后掠角进行寻优,形成了一种基于攻角与后掠角双变量控制的弹道优化设计方法.数值仿真算例表明,在满足状态方程约束的条件下,双变量比固定外形和常规单变量控制的航弹射程显著提高,寻优结果符合气动特性分布规律,通过最优控制和粒子群算法优化弹道的方法是可行的.
To improve the gliding ability of aerial bomb with morphing swept wings, the optimization of glide trajectory was studied. The aerodynamic characteristics of aerial bomb were analyzed. According to the mathematical model of optimization trajectory, the fit trajectory law was considered as an optimal control problem. Pontryaghin maximum principle was used to obtain necessary condition of optimal trajectory. By means of the particle swarm optimization(PSO), the control law of attack angle and sweepback was optimized, and a design method based on double control variables was proposed. Numerical simulation results show that, under satisfying constraint condition of state equation, the range of the aerial bomb controlled by double control variables is longer than that with fixed form and controlled by single variable evidently. The opti- mization results accord with the distribution rules of aerodynamic characteristics, and the method of optimizing trajectory using the optimal control and PSO was feasible.