INVESTIGATION OF OPTIMAL CONTROL PROBLEMS AND SOLVING THEM USING BEZIER POLYNOMIALS

被引：0
|
作者：
Yari, A. A. [1 ]
Mirnia, M. K. [2 ]
Lakestani, M. [2 ]
机构：
[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
来源：
APPLIED AND COMPUTATIONAL MATHEMATICS | 2017年 / 16卷 / 02期
关键词：
Optimal Control; Bezier and Bernstein Polynomial Family; Best Approximating; Operational Matrix of Derivative; Operational Matrix of Integration; QUADRATIC OPTIMAL-CONTROL; HYBRID FUNCTIONS APPROACH; SYSTEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new numerical method for solving the optimal control problems with quadratic performance index is presented. The method is based on Bezier polynomial. The properties of Bezier polynomials are presented. The operational matrices of integration and derivative are introduced. These matrices are then utilized to reduce the solution of the optimal control problems to a nonlinear programming problem to which existing well-developed algorithms may be applied. Illustrative examples are included to demonstrate the validity and applicability of the technique.
引用
收藏
页码：133 / 147
页数：15
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