System characterization of positive real conditions

Author

Weiss, H. ; Wang, Q. ; Speyer, J.L.

Author_Institution

RAFAEL, Haifa, Israel

Volume

39

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

540

Lastpage

544

Abstract

Necessary and sufficient conditions for positive realness in terms of state-space matrices are presented under the assumption of complete controllability and complete observability of square systems with independent inputs. By a particular transform of these conditions, a direct algorithm for testing positive realness is determined that requires only checking a set of simple algebraic conditions. This provides an alternative procedure to the positive real lemma and to the s-domain inequalities. Based on this algorithm, a synthesis of a positive real system via output feedback is presented

Keywords

control system synthesis; controllability; feedback; observability; state-space methods; transfer functions; Necessary and sufficient conditions; complete controllability; complete observability; output feedback; positive real conditions; s-domain inequalities; state-space matrices; system characterization; Adaptive control; Concurrent computing; Control system synthesis; Large-scale systems; Linear algebra; Linear matrix inequalities; Observability; Output feedback; Sufficient conditions; System testing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.280753

Filename

280753