摘要
使用勒让德正交多项式逼近方法,将Lagrange型最优控制问题转化为非线性规划问题.采用序列二次规划方法对此非线性规划问题的求解,并对多项式逼近和非线性规划求解后得到的解是否收敛给出了证明和实例分析.
In this paper,using the Legendre orthogonal polynomial approximation method,Convert the optimal control of Lagrange type problems into nonlinear programming problem.Using sequential quadratic programming method to solve the nonlinear programming problem,the conclusion whether the solution convergence which is obtained from solve nonlinear programming is proved and the example is analyzed.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第4期251-260,共10页
Mathematics in Practice and Theory
基金
国家自然科学基金(71163046)
关键词
最优控制
勒让德正交多项式
序列二次规划
收敛性
optimal control
legendre orthogonal polynomial
seqential quadratic programming
astringency
