Routh type approximation for discrete system

Author

Bandyopadhyay, B. ; Kande, T.M. ; Srisailam, M.C.

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., Bombay, India

fYear

1988

fDate

7-9 June 1988

Firstpage

2899

Abstract

A method of reduction for a discrete system is presented. The denominator of the reduced model is directly obtained in z-domain from the denominator of the higher-order system. The denominator of the reduced model is directly obtained from a Routh-type table. The numerator of the reduced model is obtained either by matching the discrete time moments or by minimizing the step response error constructed in discrete time domain and computed in z-domain. The stability of the reduced model is guaranteed if the higher-order system is stable. A numerical example is examined which involves the determination of a second-order reduced model for a fourth-order digital filter.<>

Keywords

approximation theory; digital filters; discrete systems; filtering and prediction theory; modelling; polynomials; stability; step response; transfer functions; Routh type approximation; discrete system; discrete time domain; discrete time moments matching; fourth-order digital filter; higher-order system; numerator; reduced model; second-order reduced model; stability; step response error; z-domain; Continuous time systems; Digital control; Discrete time systems; Polynomials; Stability; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1988., IEEE International Symposium on

Conference_Location

Espoo, Finland

Type

conf

DOI

10.1109/ISCAS.1988.15543

Filename

15543