中文摘要：

为解决吸气式超声速导弹如何最优地爬升到巡航状态的问题,提出了一种吸气式超声速导弹的爬升轨迹在线规划与跟踪控制设计方法。将爬升段弹道分解为2个相切的圆弧,利用数学几何方法,推导了两相切圆的相关参数及代数方程,建立了爬升段的参考轨迹,并通过动虚拟目标追踪法设计了参考轨迹的跟踪制导律,从而实现了基于两圆相切理论的爬升段轨迹在线规划与跟踪控制,最后以典型工况为例,进行了数字仿真验证,并与hp自适应伪谱法的优化结果进行了对比分析。仿真结果表明,参考轨迹与优化结果差别不大,能够准确跟踪参考轨迹,同时算法简单,便于工程实现。研究成果可为吸气式超声速导弹爬升段轨迹设计提供参考。

英文摘要：

To make the air-breathing supersonic missile(ASM)optimally climb to cruising state,an online planning and tracking method for ASM was proposed.The cruising phase was divided into two tangent circular-arcs.The relative parameters and algebraic equations of the two tangent circular arcs were derived by the geometric method.The reference trajectory was built,and a type of trajectory tracking guidance law was put forward by pursuing a virtual moving target.The online planning and tracking control of the ascent trajectory were implemented based on the theory of tangent circles.Taking some typical cases for instance,the verification was carried out by numerical simulation.By comparing with hp-adaptive pseudo-spectral method,the simulation results show that there is a bit difference between reference trajectory and optimal trajectory,and the reference trajectory can be tracked accurately.The proposed method can be applied to the en-gineering practice of the ascent trajectory design of ASM,and the research offers reference for the ascent trajectory design of ASM.