Robust stability of polynomials with nonlinear dependent coefficient perturbations

Author

An, Senjian ; Liu, Wanquan

Author_Institution

Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia

Volume

2

fYear

2001

fDate

2001

Firstpage

1551

Abstract

The robust stability of polynomial functions of interval polynomials, which is called nested polynomial families, has been investigated by Kharitonov (1996) and it can be guaranteed by checking only fixed four vertices. This paper deals with the robust stability analysis of polynomials with nonlinear uncertainty structure. For a special class of polynomial family with nonlinear dependent coefficient perturbations, some new extreme point results are obtained. We investigate the extremality properties of the inner frequency response (IFR) set associated with uncertain Hurwitz polynomials and the relationship between the stability problem of nested polynomial families and the properties of IFR set is established

Keywords

feedback; frequency response; perturbation techniques; polynomials; stability; Hurwitz polynomial; feedback; inner frequency response; nested polynomial; nonlinear dependent coefficient perturbations; robust stability; Australia; Feedback; Frequency response; Polynomials; Robust stability; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.981117

Filename

981117