Algorithms and software for LMI problems in control

Author

Vandenberghe, Lieven ; Balakrishnan, Venkataramanan

Author_Institution

Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA

Volume

17

Issue

5

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

89

Lastpage

95

Abstract

A number of important problems from system and control theory can be numerically solved by reformulating them as convex optimization problems with linear matrix inequality (LMI) constraints. While numerous articles have appeared cataloging applications of LMIs to control system analysis and design, there have been few publications in the control literature describing the numerical solution of these optimization problems. The purpose of this article is to provide an overview of the state of the art of numerical algorithms for LMI problems, and of the available software

Keywords

computer aided analysis; control system analysis computing; control systems; mathematical programming; matrix algebra; LMI constraints; control system analysis; convex optimization; linear matrix inequality; optimization; semidefinite programming; Application software; Control system synthesis; Control systems; Control theory; Linear feedback control systems; Linear matrix inequalities; Nonlinear control systems; Optimal control; Riccati equations; Software algorithms;

fLanguage

English

Journal_Title

Control Systems, IEEE

Publisher

ieee

ISSN

1066-033X

Type

jour

DOI

10.1109/37.621480

Filename

621480