An optimal regulator for linear systems with multiple state and input delays

被引：7

作者：

Basin, Michael ^{[1
]}

Perez, Joel ^{[1
]}

机构：

[1] Autonomous Univ Nuevo Leon, Dept Phys & Math Sci, San Nicolas De Los Garza 66450, Nuevo Leon, Mexico

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2007年 / 28卷 / 01期

关键词：

optimal control; time-delay system; linear system; DISCRETE-TIME-SYSTEMS; STABILIZATION; DESIGN;

D O I：

10.1002/oca.779

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 an optimal regulator for a linear system with multiple state and input delays and a quadratic criterion. The optimal regulator equations are obtained reducing the original problem to the linear-quadratic regulator design for a system without delays. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulators available for the linear system without delays and for two rational approximations of the original time-delay system. Simulation graphs demonstrating better performance of the obtained optimal regulator with respect to the criterion value are included. Copyright (c) 2006 John Wiley & Sons, Ltd.

引用

页码：45 / 57

页数：13

共 32 条

[1] QUADRATIC PROBLEM FOR SYSTEMS WITH TIME DELAYS [J].