Chebyshev局部配点法在轨迹优化中的应用  

Application of Chebyshev local collocation method to trajectory optimization

作　　者：王立峰[1] 汪洋[1] 郭虓[1] 赵晨 李昊 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100191 [2]陆航驻北京地区军事代表室,北京100101

出　　处：《哈尔滨工业大学学报》2013年第5期95-100,共6页Journal of Harbin Institute of Technology

基　　金：国家国际科技合作专项资助项目(2012DFG61930)

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.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.

关 键 词：Chebyshev伪谱法 轨迹优化 最优控制 插值 

分 类 号：V249.122.3[航空宇航科学与技术—飞行器设计]