A tutorial on linear and bilinear matrix inequalities

被引：441

作者：

VanAntwerp, JG ^{[1
]}

Braatz, RD ^{[1
]}

机构：

[1] Univ Illinois, Dept Chem Engn, Large Scale Syst Res Lab, Urbana, IL 61801 USA

来源：

JOURNAL OF PROCESS CONTROL | 2000年 / 10卷 / 04期

关键词：

D O I：

10.1016/S0959-1524(99)00056-6

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 is a tutorial on the mathematical theory and process control applications of linear matrix inequalities (LMIs) and bilinear matrix inequalities (BMIs). Many convex inequalities common in process control applications are shown to be LMIs. Proofs are included to familiarize the reader with the mathematics of LMIs and BMIs. LMIs and BMIs are applied to several important process control applications including control structure selection, robust controller analysis and design, and optimal design of experiments. Software for solving LMI and BMI problems is reviewed. (C) 2000 Published by Elsevier Science Ltd. All rights reserved.

引用

页码：363 / 385

页数：23

共 162 条

[111]

QIN SJ, 1996, P 5 INT C CHEM PROC

[112]

Ray W.H., 1981, ADV PROCESS CONTROL

[113]

REEVES DE, 1991, THESIS GEORGIA I TEC

[114] USE OF STATISTICAL-METHODS TO BUILD MATHEMATICAL-MODELS OF CHEMICAL REACTING SYSTEMS [J].

REILLY, PM ;

BLAU, GE .

CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 1974, 52 (03) :289-299

[115] MODEL PREDICTIVE CONTROL WITH STATE ESTIMATION [J].

RICKER, NL .

INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1990, 29 (03) :374-382

[116]

RIOS E, 1997, AICHE ANN M LOS ANGE

[117]

Rios-Patron E, 1998, P AMER CONTR CONF, P338, DOI 10.1109/ACC.1998.694687

[118]

Rios-Patron E., 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), P119, DOI 10.1109/ACC.1999.782752

[119]

RiosPatron E, 1997, IEEE T NEURAL NETWOR, V8, P452

[120]

RIOSPATRON E, 1999, THESIS U ILLINOIS UR

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