最大射程滑翔在线制导方法研究  

Research on online guidance method for maximum range glide

作　　者：李诚[1] 陈万春[2,3] 刘小明 LI Cheng;CHEN Wanchun;LIU Xiaoming(School of Shenyuan,Beihang University,Beijing 100191,China;School of Astronautics,Beihang University,Beijing 102206,China;Key Laboratory of Spacecraft Design Optimization and Dynamic Simulation Technologies,Ministry of Education,Beijing 100191,China)

机构地区：[1]北京航空航天大学沈元学院,北京100191 [2]北京航空航天大学宇航学院,北京102206 [3]航天器设计优化与动态模拟技术教育部重点实验室,北京100191

出　　处：《飞行力学》2024年第5期15-20,共6页Flight Dynamics

摘　　要：针对使高超声速滑翔飞行器达到最大射程的实时在线计算问题,用奇异摄动方法推导生成了在线最优制导方案。首先,根据纵平面内二维运动假设条件建立滑翔器的动力学方程,并对其进行无量纲化。其次,根据状态变量的变化快慢将模型划分为三个时间尺度,采用奇异摄动法在三个尺度上分别求出零阶外解、一层内解和二层内解,整合得到过载近似解析表达式。最后,将所提方法与伪谱数值解法进行仿真对比。仿真结果表明,所提方法的精度在合理范围内,且计算时间大幅缩短,满足滑翔器最大射程的闭环在线最优控制。To solve the real-time online computational problem of maximizing the range of a hyper-sonic glide vehicle,an online optimal guidance scheme is derived and generated by using the singu-lar perturbation method.Firstly,the dynamical equations of the glider are constructed based on the assumed conditions of two-dimensional motion in the longitudinal plane and are nondimensionalized.Secondly,the model is divided into three time-scales according to the change rate of the state varia-bles.The singular perturbation method is used to find the zero-order outer solution,one-layer inner solution,and two-layer inner solution respectively on the three scales,and the overload approximate analytical expressions are integrated.Finally,the proposed method is compared with the pseudo-spectral numerical solution through simulation.The simulation results show that the accuracy of the proposed method is within a reasonable range and the computation time is greatly reduced,which can satisfy the requirements of closed-loop online optimal control of the maximum glide range.

关 键 词：最优控制 奇异摄动 高超声速滑翔飞行器 

分 类 号：V249[航空宇航科学与技术—飞行器设计] V448.2