Optimal control for linear systems with time delay in control input

被引：49

作者：

Basin, M

Rodriguez-Gonzalez, J

Martinez-Zuniga, R

机构：

[1] Autonomous Univ Nuevo Leon, Dept Phys & Math Sci, San Nicolas de los Garza 66450, Neuvo Leon, Mexico

[2] Autonomous Univ Coahuila, Coahuila, Mexico

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2004年 / 341卷 / 03期

关键词：

linear time-delay system; optimal control; filtering;

D O I：

10.1016/j.jfranklin.2003.12.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents the optimal regulator for a linear system with time delay in control input and a quadratic cost function. The optimal regulator equations are obtained using the duality principle, which is applied to the optimal filter for linear systems with time delay in observations, and then proved using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs and comparison tables demonstrating better performance of the obtained optimal regulator are included. (C) 2004 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：267 / 278

页数：12

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