应用科学学报 ›› 2013, Vol. 31 ›› Issue (4): 434-440.doi: 10.3969/j.issn.0255-8297.2013.04.015

• 控制与系统 • 上一篇    

高超声速飞行器再入突防轨迹快速优化

王丽英, 张友安, 赵国荣, 黄诘   

  1. 海军航空工程学院控制工程系,山东烟台264001
  • 收稿日期:2011-10-19 修回日期:2012-04-16 出版日期:2013-07-27 发布日期:2012-04-16
  • 通信作者: 王丽英,博士生,研究方向:飞行器轨迹优化与精确制导技术,E-mail: ytliyingwang@163.com
  • 作者简介:王丽英,博士生,研究方向:飞行器轨迹优化与精确制导技术,E-mail: ytliyingwang@163.com;张友安,教授,博导,研究方向:导航、制导与先进控制技术等,E-mail: zhangya63@sina.com
  • 基金资助:

    国家杰出青年科学基金(No.6100400290716021)资助

Rapid Optimization of Penetration Trajectory for Hypersonic Reentry Vehicle

WANG Li-ying, ZHANG You-an, ZHAO Guo-rong, HUANG Jie   

  1. Department of Control Engineeringm, Naval Aeronautical and Astronautical University,
    Yantai 264001, Shandong Province, China
  • Received:2011-10-19 Revised:2012-04-16 Online:2013-07-27 Published:2012-04-16

摘要: 针对含路径点和禁飞区约束的再入突防轨迹快速优化问题,提出了一种基于自适应hp 伪谱法的多阶段求解策略. 给出了含路径点、禁飞区、热流、过载、动压等约束条件的轨迹优化模型,利用Radau伪谱法将最优控制问题转化为非线性规划问题. 引入内点(连接点)概念,将路径点、禁飞区转化为内点约束,统一于一个优化框架内,结合自适应节点配置方式,在通用优化软件包内实施这一思想. 仿真结果表明,该方法能够更精确地捕捉状态变量、控制变量的不连续性、非平滑性及禁飞区的边界切点,适合求解含路径点和禁飞区的突防轨迹快速优化问题.

关键词: 突防轨迹, 自适应hp伪谱, 通用伪谱优化, 高超声速再入飞行器

Abstract: For penetration trajectory optimization of reentry vehicle with constraints of waypoints and no-fly zones, a multi-phase optimization strategy based on adaptive hp pseudospectral method is proposed. The trajectory optimization model considering waypoints, no-fly zones, heating rate, g-load and dynamic pressure
is given. The associated optimization is converted into a nonlinear programming problem by using the Radau pseudospectral method. The concept of linkage nodes is introduced to deal with constraints of waypoints and no-fly zones. Combined with adaptive distribution of nodes, the above idea is implemented with general pseudospectral optimization software. Simulation results show that the proposed method can capture any discontinuities and smoothness in states and control variables as well as the boundary of no-fly zones, and adapt to solve the optimization problem of penetration trajectory with waypoints and no-fly zones.

Key words: penetration trajectory, adaptive hp pseudospectral, general pseudospectral optimization, hypersonic reentry vehicle

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