Title :
Some recent results using symbolic algebra
Author :
Munro, N. ; Tsapekis, P.
Author_Institution :
Control Syst. Centre, Univ. of Manchester Inst. of Sci. & Technol., UK
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;
Conference_Titel :
Computer-Aided Control System Design, 1994. Proceedings., IEEE/IFAC Joint Symposium on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-1800-5
DOI :
10.1109/CACSD.1994.288941