助推-滑翔飞行器弹道最优控制研究  

Trajectory Optimal Control for Boost-Glide Vehicle

作　　者：范文锋[1] 许波[1] 郝昀[1] 

机构地区：[1]北京机电工程总体设计部,北京100854

出　　处：《现代防御技术》2014年第3期31-36,共6页Modern Defence Technology

摘　　要：从多阶段多约束最优控制的角度对助推-滑翔飞行器弹道最优控制问题进行研究。首先建立了无量纲化的弹道动力学方程组并提炼出总体设计参数;其次使用Radau伪谱方法将多约束的弹道最优控制问题转化为非线性规划问题,通过引入连接点概念处理多阶段不连续问题,并采用序列二次规划方法进行求解;最后通过数值算例验证了方法的实用性和有效性。数值优化算例表明,通过多阶段Radau伪谱方法可较好处理助推-滑翔飞行器全射程最优问题,所得计算结果与理论最优解一致。Boost-glide vehicle （BGV） ＇ s trajectory optimal control is studied from the point of view of optimal control with multi-phase and multi-constraint. First, dimensionless dynamic equations of BGV＇s trajectory are formulated and overall parameters are found. Second, the Radau pseudo-spectral method （RPM） is adopted to transcribe the optimal control problem into the non-linear programming for- mulation which is solved by the sequential quadratic programming （SQP） method, and the Linkages are introduced to deal with the multi-phase difficulty. Finally, a numerical example is tested to explain the method＇s applicability and effectiveness. The results illustrate that multi-phase RPM is suitable for solving BGV＇s full-range optimal problem and the optimal trajectory is consistent with theory optimal solution.

关 键 词：助推-滑翔飞行器 弹道最优控制 Radau伪谱方法 多阶段 

分 类 号：TJ013.2[兵器科学与技术—兵器发射理论与技术] TJ765.1