Multifrequency Routh approximants for linear systems

Author

Hwang, C. ; Hwang, J.-H. ; Guo, T.-Y.

Author_Institution

Dept. of Chem. Eng., Nat. Chung Cheng Univ., Chia-Yi, Taiwan

Volume

142

Issue

4

fYear

1995

fDate

7/1/1995 12:00:00 AM

Firstpage

351

Lastpage

358

Abstract

A multipoint Routh γ-δ canonical continued-fraction expansion for the transfer function of a linear system is derived. Based on this general form, a multifrequency Routh approximant to the system is derived by selecting the expansion points on the imaginary axis and truncating the resulting continued-fraction expansion. A connection between the stability preservation property of the multifrequency Routh approximants and the expansion points on the imaginary axis is established. Thus the multifrequency Routh approximation procedure is flexible in deriving stable reduced-order models while fitting the frequency responses and retaining the time moments and/or Markov parameters of the impulse response of the system

Keywords

Markov processes; Routh methods; approximation theory; discrete time systems; linear systems; reduced order systems; transfer functions; transient response; Markov parameters; continued-fraction expansion; frequency responses; impulse response; linear systems; multifrequency Routh approximants; reduced-order models; stability; time invariant systems; transfer function;

fLanguage

English

Journal_Title

Control Theory and Applications, IEE Proceedings -

Publisher

iet

ISSN

1350-2379

Type

jour

DOI

10.1049/ip-cta:19951882

Filename

404171