The XY-centring algorithm for the dual LMI problem: A new approach to fixed-order control design

被引：95

作者：

Iwasaki, T ^{[1
]}

Skelton, RE ^{[1
]}

机构：

[1] PURDUE UNIV, SPACE SYST CONTROL LAB, W LAFAYETTE, IN 47907 USA

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1995年 / 62卷 / 06期

关键词：

D O I：

10.1080/00207179508921598

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Many fixed-order suboptimal control problems with stability, performance and robustness specifications can be reduced to a search for a matrix X > 0 satisfying a linear matrix inequality (LMI) while X(-1) satisfies another LMI. This paper defines a certain class of these problems we shall call the 'dual LMI problem', and a computational algorithm to solve our dual LMI problem is given. Properties and limitations of the algorithm are discussed in comparison with the existing algorithm (the min/max algorithm). An extension to optimal control problems is provided. Numerical examples for the fixed-order stabilization problem and the static output feedback linear quadratic optimal control problem demonstrate the applicability of the proposed algorithm.

引用

页码：1257 / 1272

页数：16

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