A computer-aided approach for Routh-Pade approximants

Author

Chandra, D. ; Singh, V.

Author_Institution

Dept. of Electr. Eng., Motilal Nehru Regional Eng. Coll., Allahabad, India

fYear

1989

fDate

14-16 Aug 1989

Firstpage

402

Abstract

A computer-aided approach (based on geometric programming) to approximate a given high-order transfer function by a low-order one is presented. The method guarantees that a stable system will always be reduced to a stable model only. The effects of both time moments and Markov parameters are considered with a view to ensure overall time response approximation. The proposed method is essentially a nonlinear optimization procedure in which the errors between (r+1)st, ( r+2)nd, . . . time moments/Markov parameters of the model and the respective time moments/Markov parameters of the system are minimized starting from a known Hurwitz denominator polynomial, while preserving stability and fully retaining the first r time moments/Markov parameters of the system, where r denotes the order of the reduced-order model

Keywords

Markov processes; approximation theory; geometric programming; mathematics computing; nonlinear programming; stability; transfer functions; Hurwitz denominator polynomial; Markov parameters; Routh-Pade approximants; computer-aided approach; geometric programming; high-order transfer function; low order transfer function; nonlinear optimization procedure; reduced-order model; stability; time moments; time response approximation; Computer errors; Equations; Polynomials; Reduced order systems; Stability; Sufficient conditions; Time factors;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on

Conference_Location

Champaign, IL

Type

conf

DOI

10.1109/MWSCAS.1989.101876

Filename

101876