Improved Routh-Pade´ approximants: a computer-aided approach

Author

Singh, Vimal ; Chandra, Dinesh ; Kar, Haranath

Author_Institution

Dept. of Electr.-Electron. Eng., Atilim Univ., Ankara, Turkey

Volume

49

Issue

2

fYear

2004

Firstpage

292

Lastpage

296

Abstract

A geometric programming based computer-aided method to derive a reduced order (rth-order) approximant for a given (stable) SISO linear continuous-time system is presented. In this method, stability and the first r time moments/Markov parameters are preserved as well as the errors between a set of subsequent time moments/Markov parameters of the system and those of the model are minimized.

Keywords

Markov processes; Routh methods; approximation theory; computer aided analysis; continuous time systems; control engineering computing; geometric programming; linear systems; optimisation; reduced order systems; Markov parameters; Routh criterion; Routh-Pade approximants; SISO system; computer-aided derivation; error minimization; geometric programming; linear continuous-time system; model reduction; nonlinear optimization procedure; reduced order approximant; single-input-single-output system; stability; Computer errors; Equations; Instruction sets; Linear programming; Optimization methods; Power system modeling; Reduced order systems; Stability; Time factors; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2003.822878

Filename

1266790