| 引用本文: | 王立峰,汪洋,郭虓,赵晨,李昊.Chebyshev局部配点法在轨迹优化中的应用[J].哈尔滨工业大学学报,2013,45(5):95.DOI:10.11918/j.issn.0367-6234.2013.05.018 |
| WANG Lifeng,WANG Yang,GUO Xiao,ZHAO Chen,LI Hao.Application of Chebyshev local collocation method to trajectory optimization[J].Journal of Harbin Institute of Technology,2013,45(5):95.DOI:10.11918/j.issn.0367-6234.2013.05.018 |
|
| 摘要: |
| 伪谱法在轨迹优化中应用广泛,其中Chebyshev伪谱法在求解轨迹优化问题时具有较快的收敛性和较高的精度．为了证明Chebyshev局部配点法在求解轨迹优化等问题的可行性,给Chebyshev局部配点法的应用提供理论基础,研究了Chebyshev局部配点法收敛性和稳定性．文中以Hyper-sensitive问题和Minimum-energy为例,分别用Chebyshev局部配点法与传统插值方法和经典Chebyshev伪谱法求接,计算结果表明:Chebyshev局部配点法是可行和有效的. 该方法不仅在一定程度上相比于传统的插值法精度更高、计算速度更快,和经典Chebyshev伪谱法相比也略有优势． |
| 关键词: Chebyshev伪谱法 轨迹优化 最优控制 插值 |
| DOI：10.11918/j.issn.0367-6234.2013.05.018 |
| 分类号: |
| 基金项目:国家国际科技合作专项资助项目(2012DFG61930). |
|
| Application of Chebyshev local collocation method to trajectory optimization |
|
WANG Lifeng1, WANG Yang1, GUO Xiao1, ZHAO Chen2, LI Hao2
|
|
(1. School of Aeronautic Science and Engineering, Beihang University, 100191 Beijing, China; 2. Army Aviation Military Representative Office in Beijing, 100101 Beijing, China)
|
| Abstract: |
| To improve the trajectory optimization with Chebyshev local collocation method, we study the convergence and stability of Chebyshev local collocation method and provide a theoretical basis for its application. In this paper, the examples of Hyper-sensitive and Minimum-energy problem verify the feasibility and effectiveness of Chebyshev local collocation method which not only is convergent and stable for Hyper-sensitive problem, but also can achieve higher accuracy and faster computation speed in some degree compared with traditional interpolation method and even classic Chebyshev pseudospectral method. |
| Key words: Chebyshev pseudospectral method trajectory optimization optimal control interpolation
|
