A new bounded real lemma representation for the continuous-time case

Author

Shaked, U. ; Suplin, V.

Author_Institution

Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel

Volume

46

Issue

9

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

1420

Lastpage

1426

Abstract

A differential linear matrix inequality (DLMI) approach is introduced for the solution of various linear continuous-time control problems. The proposed method permits the application of linear matrix inequalities (LMIs) to the solution of control design problems under uncertainty. These problems are solved for finite horizon linear systems while considerably reducing the overdesign inherent in previous methods. The new approach also allows for the solution of the output-feedback control problem for systems belonging to a finite set of uncertain plants with hardly any overdesign. Four examples are given to demonstrate the applicability of the new method

Keywords

continuous time systems; control system synthesis; feedback; linear systems; matrix algebra; robust control; uncertain systems; continuous-time systems; control design; differential linear matrix inequality; finite horizon systems; linear systems; output-feedback; robust control; uncertain systems; Bandwidth; Computer aided software engineering; Differential equations; Digital control; Linear matrix inequalities; Performance analysis; Riccati equations; Sampling methods; Signal processing; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.948470

Filename

948470