最大射程滑翔在线制导方法研究
Research on online guidance method for maximum range glide
李诚 1陈万春 2刘小明2
作者信息
- 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;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
- 折叠
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.
Abstract
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Key words
optimal control/singular perturbation/hypersonic glide vehicle引用本文复制引用
出版年
2024
NETL
NSTL
万方数据