Linear matrix inequalities [editorial]

Author

Werner, Herbert

Volume

150

Issue

5

fYear

2003

Abstract

Linear matrix inequalities (LMIs) have emerged as a powerful tool for numerically solving control problems that are difficult or impossible to solve analytically. The idea is to express a given problem as an optimisation problem with linear objective and semidefinite constraints, where the constraints involve symmetric matrices that are affine in the decision variables. Once a problem has been expressed in this form, efficient LMI solvers can be used to obtain a numerical solution. This Special Section on LMIs for application in control engineering collects a number of recent results in various fields such as linear parameter-varying (LPV) systems, predictive control, sliding mode control, and applications such as control of networked or interconnected systems and robust design of power system stabilisers

Keywords

control system analysis <editorial, lin. matrix inequalities>; interconnected systems <editorial, lin. matrix inequalities>; linear matrix inequalities <editorial, lin. matrix inequalities>; linear systems <editorial, lin. matrix inequalities>; optimal control <editorial, lin. matrix inequalities>; predictive control <editorial, lin. matrix inequalities>; robust control <editorial, lin. matrix inequalities>; variable structure systems <editorial, lin. matrix inequalities>; LMI; control engineering; control problems; interconnected systems; linear matrix inequalities; linear objective constraints; linear parameter-varying systems; networked systems; numerical solution; optimisation problem; power system stabilisers; predictive control; robust design; semidefinite constraints; sliding mode control; symmetric matrices;

fLanguage

English

Journal_Title

Control Theory and Applications, IEE Proceedings -

Publisher

iet

ISSN

1350-2379

Type

jour

DOI

10.1049/ip-cta:20030904

Filename

1245614