Robust stability and performance via fixed-order dynamic compensation: the discrete-time case

Author

Haddad, Wassim M. ; Huang, Hsing-Hsin ; Bernstein, Dennis S.

Author_Institution

Dept. of Mech. & Aerosp. Eng., Florida Inst. of Technol., Melbourne, FL, USA

Volume

38

Issue

5

fYear

1993

fDate

5/1/1993 12:00:00 AM

Firstpage

776

Lastpage

782

Abstract

A discrete-time feedback-control-design problem involving parametric uncertainty is considered. A quadratic bound suggested by recent work on discrete-time state-space H_∞ theory is utilized in conjunction with the guaranteed cost approach to guarantee robust stability with a robust performance bound. The principal result involves sufficient conditions for characterizing robust full- and reduced-order controllers with a worst case H ₁ performance bound

Keywords

control system synthesis; discrete time systems; feedback; optimal control; stability; state-space methods; control system synthesis; discrete time systems; discrete-time state-space H_∞ theory; feedback control; fixed-order dynamic compensation; parametric uncertainty; quadratic bound; robust stability; sufficient conditions; Aerodynamics; Computer aided software engineering; Control systems; Covariance matrix; Robust control; Robust stability; State-space methods; Sufficient conditions; Symmetric matrices; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.277246

Filename

277246