摘要
提出一种解常微分方程最优控制问题的自适应拟谱方法.对状态函数和控制函数使用不同次数的多项式逼近.设计了一个自适应算法决定不同的次数,并给出了理论分析.数值算例比较了本文方法与一种常用的拟谱方法.
An adaptive pseudospectral method is proposed to solve optimal control problems governed by ordinary differential equations.The polynomials approximating the state and control functions can have the different degrees.An adaptive algorithm is designed in order to determine the different degrees,and theoretical analysis is given.The proposed method is compared with a widely applied pseudo spectral method by numerical examples.
出处
《信息与控制》
CSCD
北大核心
2012年第5期583-589,共7页
Information and Control
基金
国家自然科学基金资助项目(11171209)
关键词
拟谱方法
最优控制
非线性规划
自适应
pseudospectral method
optimal control
nonlinear programming
adaptive