Further study on the bisection algorithm for the frequency response gain computation of sampled-data systems and related issues

Author

Ito, Yu ; Hagiwara, Tomomichi ; Maeda, Hideaki ; Araki, Mituhiko

Author_Institution

Graduate Sch. of Eng., Osaka Univ., Japan

Volume

1

Issue

6

fYear

2000

fDate

36770

Firstpage

180

Abstract

The authors (1998), derived a sophisticated bisection algorithm for computing the frequency response gain of sampled-data systems with the lifting approach. In this paper, we first give an alternative bisection method with the FR-operator approach, by applying the same fundamental technique as in the lifting case. Next, we clarify the relationship between the lifting-based bisection method and the one-dimensional search method given by Yamamoto and Khargonekar (1996). We then study the computational aspects of the frequency response gain of sampled-data systems, by comparing these three methods through a numerical example

Keywords

frequency response; matrix algebra; sampled data systems; FR-operator approach; bisection algorithm; frequency response gain computation; lifting approach; one-dimensional search method; Bismuth; Control systems; Eigenvalues and eigenfunctions; Frequency response; Sampling methods; Search methods;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.878815

Filename

878815