A numerical method for solving optimal control problems using state parametrization

作     者：Mehne, H. Hashemi Borzabadi, A. Hashemi 

作者机构：Aerosp Res Inst Tehran 14665834 Iran Damghan Univ Basic Sci Damghan 36715364 Iran 

出 版 物：《NUMERICAL ALGORITHMS》 (数值算法)

年 卷 期：2006年第42卷第2期

页      面：165-169页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：optimal control non-linear programming state parametrization approximation 

摘      要：A numerical method for solving a special class of optimal control problems is given. The solution is based on state parametrization as a polynomial with unknown coefficients. This converts the problem to a non-linear optimization problem. To facilitate the computation of optimal coefficients, an improved iterative method is suggested. Convergence of this iterative method and its implementation for numerical examples are also given.