Convex analysis of output feedback control problems: robust stability and performance

Author

Geromel, J.C. ; Peres, P.L.D. ; Souza, S.R.

Author_Institution

Sch. of Electr. Eng., UNICAMP, Sao Paulo, Brazil

Volume

41

Issue

7

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

997

Lastpage

1003

Abstract

This paper addresses the problem of optimal H₂ control by output feedback. Necessary and sufficient conditions on the existence of a linear stabilizing output feedback gain are provided in terms of the intersection of a convex set and a set defined by a nonlinear real valued function. The results can be easily extended to deal with linear uncertain systems, where uncertainties are supposed to belong to convex bounded domains providing an H₂-guaranteed cost output feedback control. Thanks to the properties of the above-mentioned function, we show that under certain conditions, convex programming tools can be used for numerical purposes. Examples illustrate the theoretical results

Keywords

control system analysis; convex programming; feedback; optimal control; robust control; H₂-guaranteed cost output feedback control; convex analysis; convex bounded domains; convex programming tools; convex set; linear stabilizing output feedback gain; linear uncertain systems; necessary and sufficient existence conditions; nonlinear real valued function; optimal H₂ control; output feedback control problems; robust stability; Control systems; Costs; Functional programming; Linear feedback control systems; Optimal control; Output feedback; Robust control; Sufficient conditions; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.508904

Filename

508904