Control of linear systems subject to input constraints: a polynomial approach

被引：42

作者：

Henrion, D

Tarbouriech, S

Kucera, V

机构：

[1] CNRS, Lab Anal & Architecture Syst, F-31077 Toulouse 4, France

[2] Czech Tech Univ, Dept Control Engn, Fac Elect Engn, Prague 16627 6, Czech Republic

[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, Prague 18208 8, Czech Republic

来源：

AUTOMATICA | 2001年 / 37卷 / 04期

关键词：

linear systems; input constraints; polynomial methods; Youla-Kucera parametrization; convex programming;

D O I：

10.1016/S0005-1098(00)00193-X

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A polynomial approach is pursued For locally stabilizing discrete-time linear systems subject to input constraints. Using the Youla-Kucera parametrization and geometric properties of polyhedra and ellipsoids, the problem of simultaneously deriving a stabilizing controller and the corresponding stability region is cast into standard convex optimization problems solved by linear, second-order cone and semidefinite programming. Key topics are touched on such as stabilization of multi-input multi-output plants or maximization of the size of the stability domain. Readily implementable algorithms are described. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：597 / 604

页数：8

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