飞行器轨迹优化的造型降维方法

doi:10.3969/j.issn.1000-1093.2016.06.022

兵工学报 ›› 2016, Vol. 37 ›› Issue (6): 1125-1130.doi: 10.3969/j.issn.1000-1093.2016.06.022

飞行器轨迹优化的造型降维方法

张松¹, 侯明善²

(1.中航工业第一飞机设计研究院，陕西西安 710089; 2.西北工业大学自动化学院，陕西西安 710072)

收稿日期:2015-03-10 修回日期:2015-03-10 上线日期:2016-08-06
通讯作者: 张松 E-mail:zhangsong.gz@outlook.com
作者简介:张松(1985—)男博士研究生

Trajectory Optimization of Aerocraft Based on Shaping and Dimension Reduction

ZHANG Song¹, HOU Ming-shan²

( 1.The First Aircraft Institute, Aviation Industry Corporation of China, Xi'an 710089, Shaanxi, China；2.School of Automation, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China)

Received:2015-03-10 Revised:2015-03-10 Online:2016-08-06
Contact: ZHANG Song E-mail:zhangsong.gz@outlook.com

摘要/Abstract

摘要： 提出一种基于Bezier曲线造型的降维轨迹优化方法，用于提高轨迹优化的精度。该方法利用Bezier曲线优良的形状刻画能力描述最优轨迹，将优化问题的边界条件化为Bezier曲线的造型参数约束，从而使原问题表示为较低维含造型参数的优化问题，减少了计算量。轨迹造型法可有效协调飞行器动力学模型中不同时间尺度变量动态特性差异对非线性规划求解条件数的不利影响，更易于得到光滑最优解。按照常规高斯伪普法和网格自适应伪谱法分别对一种轨迹优化的原问题和造型降维问题进行了仿真验证，证明了所提出方法的可靠性。

关键词: 飞行器控制、导航技术, 轨迹优化, 轨迹造型, Bezier型轨迹, 伪谱法

Abstract: A dimension reduction optimization strategy based on trajectory shaping is presented to improve the accuracy of trajectory optimization. The proposed method is able to improve the performance of the direct trajectory optimization method in solving non-smooth trajectory optimization problem. According to the boundary conditions, the unknown trajectory is shaped using the Bezier curves with a few shape variables. The concepts of inverse dynamic and parametric transform are introduced to reduce the original problem to a lower dimensional optimal control problem. The result shows that lower dimensional problem tends to have a better conditioning number when it is solved by direct optimization method, and the accuracy of solutions is improved dramatically. The validation of the proposed method over conventional direct optimization method is demonstrated by the simulation results.

Key words: control and navigation technology of aerocraft, trajectory optimization, trajectory shaping, Bezier trajectory, pseudo-spectral method

中图分类号:

张松, 侯明善. 飞行器轨迹优化的造型降维方法[J]. 兵工学报, 2016, 37(6): 1125-1130.

ZHANG Song, HOU Ming-shan. Trajectory Optimization of Aerocraft Based on Shaping and Dimension Reduction[J]. Acta Armamentarii, 2016, 37(6): 1125-1130.

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飞行器轨迹优化的造型降维方法

Trajectory Optimization of Aerocraft Based on Shaping and Dimension Reduction

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