An LMI Solution for Disk Pole Location with H-2 Guaranteed Cost

被引：7

作者：

Garcia, G. ^{[1
,2
]}

Bernussou, J. ^{[1
]}

Arzelier, D. ^{[1
]}

机构：

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

[2] INSA, F-31077 Toulouse, France

来源：

EUROPEAN JOURNAL OF CONTROL | 1995年 / 1卷 / 01期

关键词：

H-2 guaranteed cost control; Norm bounded uncertainty; Quadratic stabilizability; Uncertain systems;

D O I：

10.1016/S0947-3580(95)70007-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of robust pole assignment in a disk with an H-2 guaranteed cost design is addressed. The uncertain systems considered are of norm bounded type and continuous as well as discrete time. The set of gains which assigns the closed-loop poles in a disk is characterised through a Linear Matrix Inequality (LMI). A way for selecting a gain in this set, which minimises an upper H-2 norm bound on the transfer matrix between a perturbation and a controlled output, is presented. It consists in solving a convex optimisation problem with a linear criterion and an LMI as a constraint.

引用

页码：54 / 61

页数：8

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