A LEGENDRE TECHNIQUE FOR SOLVING TIME-VARYING LINEAR-QUADRATIC OPTIMAL-CONTROL PROBLEMS

被引：10
作者：
RAZZAGHI, M
ELNAGAR, G
机构：
[1] Department of Mathematics and Statistics, Mississippi State University, Mississippi State
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1993年 / 330卷 / 03期
关键词：
D O I：
10.1016/0016-0032(93)90092-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A method for the optimal control of linear time-varying systems with a quadratic cost functional is proposed. The state and control variables are expanded in the shifted Legendre series, and an algorithm is provided for approximating the system dynamics, boundary conditions and performance index. The necessary condition of optimality is then derived as a system of linear algebraic equations. Numerical examples are included to demonstrate the validitiy and applicability of the technique.
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页码：453 / 463
页数：11
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