The infinite time near optimal decentralized regulator problem for singularly perturbed systems: a convex optimization approach

被引：28

作者：

Garcia, G

Daafouz, J

Bernussou, J

机构：

[1] CNRS, LAAS, F-31077 Toulouse, France

[2] CNRS, CRAN, UMR 7039, F-54516 Vandoeuvre Les Nancy, France

来源：

AUTOMATICA | 2002年 / 38卷 / 08期

关键词：

singular perturbations; linear quadratic regulators; convex optimization; decentralized control; pole assignment;

D O I：

10.1016/S0005-1098(02)00035-3

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 LQ decentralized pole location for singularly perturbed systems. The poles are located in a sector included in the left-half complex plane. The singular perturbation method is used to define reduced and well-behaved problems. It is shown that the LQ control problem with pole location in a sector can be solved using the LMI tool. The associated parametrical optimization problem involves a linear cost objective under LMI constraints. The decentralized control problem is then solved in the reduced slow system by just introducing structure constraints on the matrix variables, constraints that do not destroy the linearity and then the convexity of the problem. (C) 2002 Published by Elsevier Science Ltd.

引用

页码：1397 / 1406

页数：10