A collection of robust control problems leading to LMIs

Author

Packard, Andrew ; Zhou, Keliang ; Pandey, Pradeep ; Becker, Greg

Author_Institution

Dept. of Mech. Eng., California Univ., Berkeley, CA, USA

fYear

1991

fDate

11-13 Dec 1991

Firstpage

1245

Abstract

The authors consider four control-related problems, all of which involve reformulation into linear matrix inequalities (LMIs). The problems are: structured singular value (μ) upper bound synthesis for constant matrix problems; robust-state-feedback problem with quadratic stability criteria for uncertain systems; optimal, constant, block diagonal, similarity scaling for full information and state feedback H_∞ problem; and a partial theory for optimal performance in systems which depend on several independent variables

Keywords

feedback; matrix algebra; optimal control; stability; μ upper bound; constant matrix problems; linear matrix inequalities; optimal constant block diagonal similarity scaling; optimal performance; quadratic stability criteria; robust control problems; robust-state-feedback; state feedback H_∞ problem; structured singular value upper bound synthesis; Control system synthesis; Eigenvalues and eigenfunctions; Linear matrix inequalities; Robust control; Robust stability; Stability criteria; State feedback; Symmetric matrices; Uncertain systems; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261577

Filename

261577