Computing frequency responses of uncertain systems

Author

Chen, Jyh-Jia ; Hwang, Chyi

Author_Institution

Dept. of Chem. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan

Volume

45

Issue

3

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

304

Lastpage

307

Abstract

A numerical approach is proposed for computing the frequency-response templates of a class of rational transfer functions whose coefficients are affine functions of some interval parameters. This approach is based on characterizing the template as the set of points in the complex plane that make the value set of a certain polytope of polynomials to include the origin. With this characterization, the proposed approach traces out the boundary of the frequency-response template corresponding to a single frequency by using a simple pivoting procedure along with an efficient zero-inclusion test algorithm

Keywords

frequency response; robust control; transfer functions; uncertain systems; affine functions; frequency-response templates; interval parameters; pivoting procedure; polytope; rational transfer functions; uncertain systems; zero-inclusion test algorithm; Arithmetic; Chemical engineering; Control system analysis; Frequency response; Linear systems; Polynomials; Robust stability; Testing; Transfer functions; Uncertain systems;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.662717

Filename

662717