Enhancing strict positive realness condition on families of polynomials by filter design

Author

Tesi, Alberto ; Zappa, Giovanni ; Vicino, Antonio

Author_Institution

Dipartimento di Sistemi e Inf., Firenze Univ., Italy

Volume

40

Issue

1

fYear

1993

fDate

1/1/1993 12:00:00 AM

Firstpage

21

Lastpage

32

Abstract

Some results on strict positive realness of families of polynomials are given. The main motivation for these results is the need for design criteria of filters ensuring the convergence of algorithms in the presence of uncertainty in the plant model in the area of identification and adaptive control. Two main results are given. The first provides analytical conditions under which a family of polynomials with zeros in a prescribed region of the complex plane is strict positive real or can be made strict positive real over an assigned region of the complex plane through the use of a suitable filter. The second is a design result providing a parameterization of a family of filters maximizing the region of the complex plane on which strict positive realness is achievable

Keywords

filtering and prediction theory; filters; network synthesis; poles and zeros; algorithm convergence; complex plane; design criteria; filter design; polynomials; strict positive realness condition; Adaptive algorithm; Adaptive control; Adaptive filters; Algorithm design and analysis; Continuous time systems; Convergence; Helium; Polynomials; Stochastic systems; Uncertainty;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.215340

Filename

215340