Information Organization through Signal Flow Graph Notes

 Page 1


NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Information Organization through Information Organization through 
Signal Flow Graph
Dr. Bishakh Bhattacharya
Pf D t t fM h i lE i i Professor, Department of Mechanical Engineering
IIT Kanpur
Joint Initiative of IITs and IISc - Funded by MHRD
Page 2


NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Information Organization through Information Organization through 
Signal Flow Graph
Dr. Bishakh Bhattacharya
Pf D t t fM h i lE i i Professor, Department of Mechanical Engineering
IIT Kanpur
Joint Initiative of IITs and IISc - Funded by MHRD
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Di i f L t A i t Discussion of Last Assignment
In this lecture, we will show another graphical method to represent a 
dynamicsystem ThisisknownasSignalFlowDiagram
2
Joint Initiative of IITs and IISc - Funded by MHRD
dynamic system.  This is known as Signal Flow Diagram. 
Page 3


NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Information Organization through Information Organization through 
Signal Flow Graph
Dr. Bishakh Bhattacharya
Pf D t t fM h i lE i i Professor, Department of Mechanical Engineering
IIT Kanpur
Joint Initiative of IITs and IISc - Funded by MHRD
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Di i f L t A i t Discussion of Last Assignment
In this lecture, we will show another graphical method to represent a 
dynamicsystem ThisisknownasSignalFlowDiagram
2
Joint Initiative of IITs and IISc - Funded by MHRD
dynamic system.  This is known as Signal Flow Diagram. 
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Th L Ci The Lecture Contains
?IntroductiontoSignalFlowDiagram ?Introduction to Signal Flow Diagram
?Relationship between Signal Flow Graph and Block Diagram
?Elements of Signal Flow Graph
?Simple Rules of Developing Signal Flow Graphs
Joint Initiative of IITs and IISc - Funded by MHRD
Page 4


NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Information Organization through Information Organization through 
Signal Flow Graph
Dr. Bishakh Bhattacharya
Pf D t t fM h i lE i i Professor, Department of Mechanical Engineering
IIT Kanpur
Joint Initiative of IITs and IISc - Funded by MHRD
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Di i f L t A i t Discussion of Last Assignment
In this lecture, we will show another graphical method to represent a 
dynamicsystem ThisisknownasSignalFlowDiagram
2
Joint Initiative of IITs and IISc - Funded by MHRD
dynamic system.  This is known as Signal Flow Diagram. 
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Th L Ci The Lecture Contains
?IntroductiontoSignalFlowDiagram ?Introduction to Signal Flow Diagram
?Relationship between Signal Flow Graph and Block Diagram
?Elements of Signal Flow Graph
?Simple Rules of Developing Signal Flow Graphs
Joint Initiative of IITs and IISc - Funded by MHRD
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Basic Premises of Signal Flow Graph
• Signals travel along branches only in the direction of the arrows. 
• A signal travelling along any branch is multiplied by the transmission of that 
branch. 
• The value of any node variable is the sum of all signals entering the node. 
• The value of any node variable is transmitted on all branches leaving that 
node. 
Joint Initiative of IITs and IISc - Funded by MHRD
Page 5


NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Information Organization through Information Organization through 
Signal Flow Graph
Dr. Bishakh Bhattacharya
Pf D t t fM h i lE i i Professor, Department of Mechanical Engineering
IIT Kanpur
Joint Initiative of IITs and IISc - Funded by MHRD
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Di i f L t A i t Discussion of Last Assignment
In this lecture, we will show another graphical method to represent a 
dynamicsystem ThisisknownasSignalFlowDiagram
2
Joint Initiative of IITs and IISc - Funded by MHRD
dynamic system.  This is known as Signal Flow Diagram. 
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Th L Ci The Lecture Contains
?IntroductiontoSignalFlowDiagram ?Introduction to Signal Flow Diagram
?Relationship between Signal Flow Graph and Block Diagram
?Elements of Signal Flow Graph
?Simple Rules of Developing Signal Flow Graphs
Joint Initiative of IITs and IISc - Funded by MHRD
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Basic Premises of Signal Flow Graph
• Signals travel along branches only in the direction of the arrows. 
• A signal travelling along any branch is multiplied by the transmission of that 
branch. 
• The value of any node variable is the sum of all signals entering the node. 
• The value of any node variable is transmitted on all branches leaving that 
node. 
Joint Initiative of IITs and IISc - Funded by MHRD
NPTEL >> Mechanical Engineering >>  Modeling and Control of Dynamic electro-Mechanical System Module 1- Lecture 3
Block Diagram Vs Signal Flow Graph gg p
The Figures below show Block Diagrams for different Dynamic 
Systems and their corresponding Signal Flow Graphs for quick 
comparison.
Joint Initiative of IITs and IISc -Funded by MHRD