Signal-flow graphs: direct method of reduction and MATLAB implementation

Author

Teixeira, Marcelo C M ; Marchesi, Henrique F. ; Assunção, Edvaldo

Author_Institution

Dept. of Electr. Eng., UNESP, Brazil

Volume

44

Issue

2

fYear

2001

fDate

5/1/2001 12:00:00 AM

Firstpage

185

Lastpage

190

Abstract

Block diagrams and signal-flow graphs are used to represent and to obtain the transfer function of interconnected systems. The reduction of signal-flow graphs is considered simpler than the reduction of block diagrams for systems with complex interrelationships. Signal-flow graphs reduction can be made without graphic manipulations of diagrams, and it is attractive for a computational implementation. In this paper, the authors propose a computational method for direct reduction of signal-flow graphs. This method uses results presented in this paper about the calculation of literal determinants without symbolic mathematics tools. The Cramer´s rule is applied for the solution of a set of linear equations. A program in MATLAB language for reduction of signal-flow graphs with the proposed method is presented

Keywords

control system analysis computing; interconnected systems; signal flow graphs; symbol manipulation; transfer functions; Cramer´s rule; MATLAB language; block diagrams; complex interrelationships; interconnected systems; linear equations; literal determinants; signal-flow graphs reduction; transfer function; Equations; Feedback; Graphics; Interconnected systems; Linear systems; MATLAB; Mathematics; Signal analysis; Transfer functions; Vectors;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.925833

Filename

925833