Frequency response of sampled-data systems

Author

Yamamoto, Yutaka ; Khargonekar, Pramod P.

Author_Institution

Div. of Appl. Syst. Sci., Kyoto Univ., Japan

Volume

41

Issue

2

fYear

1996

fDate

2/1/1996 12:00:00 AM

Firstpage

166

Lastpage

176

Abstract

This paper introduces the concept of frequency response for sampled-data systems and explores some basic properties as well as its computational procedures. It is shown that 1) by making use of the lifting technique, the notion of frequency response can be naturally introduced to sampled-data systems in spite of their time-varying characteristics, 2) it represents a frequency domain steady-state behaviour, and 3) it is also closely related to the original transfer function representation via an integral formula. It is shown that the computation of the frequency response can be reduced to a finite-dimensional eigenvalue problem, and some examples are presented to illustrate the results

Keywords

eigenvalues and eigenfunctions; frequency response; multidimensional systems; sampled data systems; transfer functions; computational procedures; finite-dimensional eigenvalue problem; frequency domain steady-state behaviour; frequency response; sampled-data systems; time-varying characteristics; Control theory; Design methodology; Discrete transforms; Eigenvalues and eigenfunctions; Frequency domain analysis; Frequency response; Helium; Steady-state; System performance; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.481516

Filename

481516