Parameterization of positive-real transfer functions with fixed poles

Author

Dumitrescu, Bogdan

Author_Institution

Tampere Int. Center for Signal Process., Tampere Univ. of Technol., Finland

Volume

49

Issue

4

fYear

2002

fDate

4/1/2002 12:00:00 AM

Firstpage

523

Lastpage

526

Abstract

A parameterization of continuous-time passive systems (positive real transfer functions) with given poles is proposed. This parameterization has a minimum number of parameters and is suited to convex optimization, especially for semidefinite programming. As an example, we show how to find the best approximation of a stable transfer function with a positive real one, with the same poles

Keywords

continuous time systems; control system analysis; linear network analysis; linear systems; matrix algebra; optimisation; passive networks; poles and zeros; stability; transfer functions; Kalman-Yakubovich-Popov lemma; continuous-time passive systems; convex optimization; fixed poles; parameterization; passive circuits; passive controllers; positive real transfer functions; semidefinite programming; stable transfer function; Circuit theory; Constraint optimization; Design optimization; Feedback; Integrated circuit interconnections; Passive circuits; Poles and zeros; Polynomials; Robust control; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.995670

Filename

995670