Some recent results using symbolic algebra

Author

Munro, N. ; Tsapekis, P.

Author_Institution

Control Syst. Centre, Univ. of Manchester Inst. of Sci. & Technol., UK

fYear

1994

fDate

7-9 Mar 1994

Firstpage

109

Lastpage

116

Abstract

This paper is concerned with the application of an algebraic language (Mathematica) to control engineering algorithmic problems. Several problems of significant interest to control engineers are considered. Two methods of computing the Smith-McMillan form are presented, and two approaches to the creation of minimal state-space realizations are considered. Balanced minimal realizations, model-order reduction, and minimal order matrix-fraction models are also examined. The algorithms implemented are all illustrated by examples

Keywords

control engineering computing; matrix algebra; state-space methods; symbol manipulation; transfer functions; Mathematica; Smith-McMillan form; algebraic language; balanced minimal realizations; control engineering algorithmic problems; minimal order matrix-fraction models; minimal state-space realizations; model-order reduction; symbolic algebra; Algorithm design and analysis; Computer applications; Control engineering; Control systems; Libraries; Linear algebra; Linear systems; Matrix converters; Poles and zeros; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer-Aided Control System Design, 1994. Proceedings., IEEE/IFAC Joint Symposium on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-1800-5

Type

conf

DOI

10.1109/CACSD.1994.288941

Filename

288941