基于hp伪谱凸优化的高超声速滑翔飞行器轨迹优化与制导  

Trajectory Optimization and Guidance for Hypersonic Gliding Vehicles Based on hp Pseudospectral Convex Programming

作　　者：唐胜景[1,2] 王肖 郭杰[1,2] Tang Shengjing;Wang Xiao;Guo Jie(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China;Key Laboratory of Dynamics and Control of Flight Vehicle of the Ministry of Education,Beijing 100081,China;Tactical Weapons Division,China Academy of Launch Vehicle Technology,Beijing 100076,China)

机构地区：[1]北京理工大学宇航学院,北京100081 [2]飞行器动力学与控制教育部重点实验室,北京100081 [3]中国运载火箭技术研究院战术武器事业部,北京100076

出　　处：《战术导弹技术》2020年第5期66-75,共10页Tactical Missile Technology

基　　金：国家自然科学基金项目(No.11572036)。

摘　　要：针对高超声速滑翔飞行器再入轨迹在线优化与闭环最优制导问题,为兼顾优化效率与精度,提出了一种hp伪谱凸优化方法。首先,将倾侧角变化率扩展为控制量,采用hp flipped Radau伪谱法离散动力学方程。考虑端点约束、过程约束、禁飞区约束,采用连续线性化方法,将再入轨迹优化问题转化为一系列凸优化子问题,进而采用原始对偶内点法求解。迭代过程中设计了信赖域更新策略以改善算法的收敛性。然后,考虑在线轨迹优化与制导的实时性,提出了包括模型简化、串行优化、限制迭代、自适应更新等在内的在线轨迹优化与制导策略。仿真结果表明hp伪谱凸优化方法离散精度高、求解速度快,适于在线使用;闭环最优制导方法制导精度高、计算耗时较小。Aiming at online entry trajectory optimization and closed-loop optimal guidance problem for hypersonic gliding vehicles,a hp pseudospectral convex programming method is proposed to realize the unity of optimization accuracy and efficiency. First,the change rate of bank angle is selected as the new control input,and the hp flipped Radau pseudospectral method is used to discretize the dynamic equations. Considering endpoint constraints,process constraints and no-fly zone constraints,through the successive linearization method,the entry trajectory optimization problem is transformed into a series of convex optimization subproblems,and sovled by primal-dual interior-point method. A trust-region update strategy is designed to improve the convergence of the algorithm during iteration. Then,considering the real-time performance of online trajectory optimization and guidance, online trajectory optimization and closed-loop guidance strategies including model simplification,serial optimization,limited iteration,and adaptive update are proposed.Simulation results show that hp pseudospectral convex programming has high discrete precision and fast solution speed,which is suitable for online use,and the closed-loop optimal guidance method has high guidance accuracy and short calculation time.

关 键 词：高超声速滑翔飞行器 再入制导 轨迹优化 伪谱法 凸优化 

分 类 号：V448.235[航空宇航科学与技术—飞行器设计]