Tabular method for determining root distribution of delta-operator formulated real polynomials

Author

Premaratne, Kamal ; Jury, Eliahu I.

Author_Institution

Dept. of Electr. & Comput. Eng., Miami Univ., Coral Gables, FL, USA

Volume

39

Issue

2

fYear

1994

fDate

2/1/1994 12:00:00 AM

Firstpage

352

Lastpage

355

Abstract

A tabular method for the investigation of real polynomial root distribution with respect to the circle |c+1/Δ|=1/Δ in the complex plane is presented. Such a procedure is useful in stability considerations of δ-operator formulated discrete-time systems with sampling time Δ, in particular, when the characteristic polynomial contains literal coefficients. We show that, direct verification of stability may be preferable over techniques that utilize transformations when the sampling frequency is fast relative to the system bandwidth. In addition, as sampling frequency increases, the relationship with the well known Routh-Hurwitz table becomes apparent

Keywords

discrete time systems; matrix algebra; polynomials; stability; δ-operator formulated discrete-time systems; Routh-Hurwitz table; characteristic polynomial; complex plane; delta-operator formulated real polynomials; root distribution; sampling frequency; stability; tabular method; Bandwidth; Frequency; Polynomials; Reactive power; Sampling methods; Stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.272332

Filename

272332