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
收藏
页码：54 / 61
页数：8
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