Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials

被引：108
|
作者：
Marzban, HR
Razzaghi, M [1 ]
机构：
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
[2] Isfahan Univ Technol, Dept Math, Esfahan, Iran
[3] Amirkabir Univ Technol, Dept Appl Math, Tehran, Iran
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2004年 / 341卷 / 03期
关键词：
optimal control; delay; hybrid;
D O I：
10.1016/j.jfranklin.2003.12.011
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 finding the optimal control of a linear time varying delay system with quadratic performance index is discussed. The properties of the hybrid functions which consists of block-pulse functions plus Legendre polynomials are presented. The operational matrices of integration, delay and product are utilized to reduce the solution of optimal control to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. (C) 2004 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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页码：279 / 293
页数：15
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