Design of strictly positive real systems using constant output feedback

Author

Huang, C.-H. ; Ioannou, P.A. ; Maroulas, J. ; Safonov, M.G.

Author_Institution

Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA

Volume

44

Issue

3

fYear

1999

fDate

3/1/1999 12:00:00 AM

Firstpage

569

Lastpage

573

Abstract

The authors present a linear matrix inequality (LMI) approach to the strictly positive real (SPR) synthesis problem: find an output feedback K such that the closed loop system T(s) is SPR. The authors establish that if no such constant output feedback K exists, then no dynamic output feedback with a proper transfer matrix exists to make the closed-loop system SPR. The existence of K to guarantee the SPR property of the closed-loop system is used to develop an adaptive control scheme that can stabilize any system of arbitrary unknown order and unknown parameters

Keywords

adaptive control; closed loop systems; control system synthesis; feedback; transfer function matrices; adaptive control scheme; constant output feedback; linear matrix inequality approach; strictly positive real systems; Adaptive control; Circuit synthesis; Control system synthesis; Control theory; Linear feedback control systems; Linear matrix inequalities; Negative feedback; Output feedback; State feedback; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.751352

Filename

751352