多脉冲导弹可达域优化方法设计与分析

为了更合理地制定导弹的战术指标和作战任务规划，对多脉冲导弹可达域进行研究。通过引入加权的纵程和横程的组合性能指标函数，将可达域的优化问题转化为最优控制问题，建立以飞行攻角和侧滑角为双优化设计变量的多阶段多约束优化模型，采用hp自适应伪谱法对其进行求解，并着重分析多脉冲导弹发动机参数和终端约束条件对导弹可达域的影响。仿真结果表明，hp自适应伪谱法能有效解决多阶段多约束的多脉冲导弹可达域优化问题，且多脉冲导弹脉冲发动机时间间隔越小，推力比越大，装药比越小，导弹的可达域越大，相比于终端速度对可达域的影响，终端弹道倾角对可达区域的影响较小。
In order to formulate tactical indicators and mission plan，the footprint for multiple-pulse missile was investigated. The footprint optimization problem can be transformed into an optimal control problem by introducing the cost function which is formulated as a weighted combination of down-range and cross-range. A multiple constraints and phases trajectory optimization model of double optimization design variables that are composed by the angle of attack and slip angle was established，and using the hp-adaptive pseudo-spectral method to solve it. Moreover, the effects of multiple-pulse motor parameters and terminal constraints on the footprint were emphatically analyzed. Simulation results show the efficiency of the proposed method in solving the footprint optimization design problem with multiple constraints and phases. The smaller interval time of multiple-pulse missile motor，the greater of thrust radio and the smaller mass radio of the pulse motor are corresponded to a bigger footprint. Compared with the terminal velocity, the impact angle affects the footprint to a lesser degree．