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

被引：6

作者：

Teixeira, MCM ^{[1
]}

Marchesi, HF ^{[1
]}

Assunçao, E ^{[1
]}

机构：

[1] Univ Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Elect Engn, BR-15385000 Ilha Solteira, SP, Brazil

来源：

IEEE TRANSACTIONS ON EDUCATION | 2001年 / 44卷 / 02期

关键词：

Mason's rule; signal-flow graphs; symbolic calculations; transfer functions;

D O I：

10.1109/13.925833

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

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.

引用

页码：185 / 190

页数：6

共 13 条

[1] Coates C., 1959, IRE T CIRCUIT THEORY, V6, P170, DOI [DOI 10.1109/TCT.1959.1086537, 10.1109/TCT.1959.1086537]
[2] Dorf RC., 1995, MODERN CONTROL SYSTE, V13th Edition
[3] A TRANSFER-FUNCTION COMPUTATIONAL ALGORITHM FOR LINEAR-CONTROL SYSTEMS
ELHAJJ, A
KABALAN, KY
[J]. IEEE CONTROL SYSTEMS MAGAZINE, 1995, 15 (02): : 114 - 118
[4] JOBLING CP, 1998, ENG APPL A1, V1, P22
[5] FEEDBACK THEORY - FURTHER PROPERTIES OF SIGNAL FLOW GRAPHS
MASON, SJ
[J]. PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1956, 44 (07): : 920 - 926
[6] FEEDBACK THEORY - SOME PROPERTIES OF SIGNAL FLOW GRAPHS
MASON, SJ
[J]. PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1953, 41 (09): : 1144 - 1156
[7] *MATHW INC, 1997, STUD ED MATLAB VERS
[8] Ogata K., 2009, MODERN CONTROL ENG, DOI DOI 10.1002/jps.20895
[9] RAO MVC, 1991, CONTR-THEOR ADV TECH, V7, P355
[10] FINDING THE TRANSMITTANCE BETWEEN ANY 2 POINTS IN A COMPOSITE SYSTEM
SALEHI, SV
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1979, 30 (05) : 885 - 894

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