文章摘要
引用本文:杨志红,徐宝华,姚德清.基于高斯伪谱法的吸气式高超声速飞行器爬升弹道优化研究[J].导航定位与授时,2018,5(3):35-40 本文二维码信息
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基于高斯伪谱法的吸气式高超声速飞行器爬升弹道优化研究
Research on Climbing Trajectory Optimization of Air-breathing Hypersonic Vehicle Based on Gauss Pseudospectral Method
  
DOI:
中文关键词:  高超声速飞行器;高斯伪谱法  弹道优化
English Keywords:Hypersonic vehicle  Gauss pseudospectral  Trajectory optimization
基金项目:
作者单位
杨志红 北京空天技术研究所北京 100074 
徐宝华 北京空天技术研究所北京 100074 
姚德清 北京空天技术研究所北京 100074 
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中文摘要:
      吸气式高超声速飞行器爬升弹道设计是其总体设计的一个重要问题。这里提出一种基于高斯伪谱法的弹道优化方法,用于解决该问题。以末端弹道倾角为性能指标,飞行攻角为设计变量,建立了飞行器纵平面弹道优化模型。通过高斯伪谱法对状态变量和控制变量进行离散,将最优控制问题转化为非线性规划问题,再利用序列二次规划算法对其进一步求解。仿真结果表明,该方法收敛域大,对初值不敏感,设计精度高,是吸气式高超声速飞行器方案弹道优化的重要方法。
English Summary:
      The climbing trajactory optimization of the air-breathing hypersonic vehicle has been a major problem in its overall design. A ballistic optimization method based on Gaussian pseudo-spectral method is presented to solve this problem. Taking the end trajectory inclination as the performance index and the flight attack angle as the design variables, the longitudinal plane trajectory optimization model of the aircraft is established. The state variables and the control variables are discretized through Gaussian pseudospectral method, and the optimal control problem is transformed into nonlinear programming problem. Then the sequential quadratic programming algorithm is used to further solve it. The simulation results show that the method has a large convergence domain and high design accuracy, and is insensitive to the initial value. It can be an important method for trajectory optimization of air-breathing hypersonic vehicle.
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