Preservation of SPR functions and stabilization by substitutions in SISO plants

Author

Fernández-Anaya, G.

Author_Institution

Dept. of Basic Sci., Univ. Iberoamericana, Lomas de Santa Fe, Mexico

Volume

44

Issue

11

fYear

1999

fDate

11/1/1999 12:00:00 AM

Firstpage

2171

Lastpage

2174

Abstract

In this paper, we present sufficient conditions to preserve stability by rational function substitutions, It is proved that by making substitutions with strictly positive real (SPR) zero relative degree functions, it is possible to preserve the stability and coprime factorization of transfer functions. It is also proved that these functions are closed under function composition. Finally, we prove some results about robust stabilization using constant compensators, SPR robust functions, and robust stability, based on the result over closure of SPR functions

Keywords

rational functions; stability; transfer functions; SISO plants; SPR function preservation; SPR robust functions; constant compensators; coprime factorization; function composition; rational function substitutions; robust stability; robust stabilization; stabilization; strictly positive real zero relative degree functions; transfer functions; Adaptive control; Control systems; Polynomials; Robust stability; Robustness; Stability analysis; Stability criteria; Sufficient conditions; Transfer functions; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.802939

Filename

802939