摘要
针对拦截弹道设计时多阶段、飞行时间可变且要满足复杂约束的最优控制问题,采用高斯伪谱法进行求解。与其它数值方法相比,高斯伪谱法把最优控制问题分解成不同的阶段,利用多项式拟合避免积分过程,提高了优化效率。进而把拦截时间转化为优化变量,解决了拦截时间可变问题,详细描述了拦截弹道设计问题,最后给出了仿真算例和结果分析。
Gauss pseudo-spectral method（GPM） is employed to solve the problem of optimizing time variable multi-phase interception trajectory which is subject to complex constraints.Compared to other numerical methods,GPM divides optimal control problem into different phases.The efficiency is improved since polynomial fitting is substituted for integral.Furthermore,the interception time is transformed into a variable to be optimized,then time variable interception issue is solved,and detail interception trajectory design is discussed.Finally numerical simulation results are given out to confirm the effectiveness of this method.
出处
《战术导弹技术》
2013年第3期32-36,共5页
Tactical Missile Technology
关键词
时间可变
多阶段
最优弹道
高斯伪谱
variable time
multiple phases
optimal trajectory
Gauss Pseudo-spectral method
