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Industrial Electronic DepartmentCopyright of German Malaysian Institute. All rights
reserved
Represent the relationship between signal and instruments for the whole system
- Formalize control system as “Pictures”.
- Have mathematical models to system components.
- Components can be combined to produce an overall mathematical description of systems.
- Interaction between elements is well defined.
Why we need Signal Flow/Block Diagram?
DEFINITIONDEFINITION
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MEASURINGELEMENT
Set Point
CONTROL LAW
Final controlElement
PROCESSX
y
z
w e
CONTROLLER
SIGNAL BLOCK DIAGRAMSIGNAL BLOCK DIAGRAM
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MEASURINGELEMENT
Set Point
CONTROL LAW
FCE PROCESSx
y
z
w e
CONTROLLER
e or Xd – error/control difference/deviation - the difference between set point and measured value (controlled variable) xd = w-x or e =SP-PV
w – set point/command variable - the value that we desired
y – correcting/manipulated variable – is a controller output or a value has a direct effect to the control element
z – disturbances/unwanted variable - the unwanted variable that affect the process
x – controlled/measured variable - the system/variable that we going to controlled
ANNOTATIONSANNOTATIONS
Industrial Electronic DepartmentCopyright of German Malaysian Institute. All rights
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• Command Variable (w) / Set Point (SP)– The required value of the process variable may be set by the
operator or by the output of another controller (cascaded)
• Control difference (Xd) / Error (E)– Measure how far the process variable is from the set point– Defined as SP-PV
• Controlled Variable (x) / Process Variable (PV)– The measured value of the variable to be controlled
• Correcting Variable (y) / Manipulated Variable (MV)– The variable that is adjusted to correct any error
• Disturbance Variable (z)– The variable that drive the controlled variable away from their
desired or setpoint conditions
TERMS & DEFINITIONSTERMS & DEFINITIONS
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DINJIS,ANSI,
BS
Controlled
Variablex PV
Set
Variablew SV
Manipulated
Variabley MV
Disturbance
Variablez D
ANNOTATIONSANNOTATIONS
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RECTANGLE BLOCKRECTANGLE BLOCK
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Gx y
G
x1yx2
x3x4
RECTANGLE BLOCKRECTANGLE BLOCK
y = G.x
y = ? (Not allowed)
Indicates Function
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z = ?x
y
abc
d
e = ?
• Two input: z = ?
SUMMING POINTSUMMING POINT
• Three or more : e = ?
Indicates Combination of Signal
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X1
X1
X1
X1
X1
X1
X1
BRANCH POINTBRANCH POINT
Division of a signal to give two or more paths without modification
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INTERACTION BETWEEN INTERACTION BETWEEN ELEMENTELEMENT
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MANIPULATION OF BLOCK DIAGRAMMANIPULATION OF BLOCK DIAGRAM
A(s)X(s)
B(s)Y(s) Z(s)
In using block diagrams to analyze control problems it is important to be able to convert from one form to another.
A(s)B(s)X(s) Z(s)
A(s)X(s)
B(s)
Z(s)+
+A(s) + B(s)
X(s) Z(s)
A(s)X(s)
Y(s)
Z(s)+
-
A(s)X(s)
Y(s)
Z(s)+
-
A(s)
A(s)X(s) Z(s)+
- A(s)1+A(s)
X(s) Z(s)
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MANIPULATION OF BLOCK DIAGRAMMANIPULATION OF BLOCK DIAGRAM
Industrial Electronic DepartmentCopyright of German Malaysian Institute. All rights
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MANIPULATION OF BLOCK DIAGRAMMANIPULATION OF BLOCK DIAGRAM
Industrial Electronic DepartmentCopyright of German Malaysian Institute. All rights
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MANIPULATION OF BLOCK DIAGRAMMANIPULATION OF BLOCK DIAGRAM
Industrial Electronic DepartmentCopyright of German Malaysian Institute. All rights
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MANIPULATION OF BLOCK DIAGRAMMANIPULATION OF BLOCK DIAGRAM
Industrial Electronic DepartmentCopyright of German Malaysian Institute. All rights
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MANIPULATION OF BLOCK DIAGRAMMANIPULATION OF BLOCK DIAGRAM
Industrial Electronic DepartmentCopyright of German Malaysian Institute. All rights
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CONCLUSIONCONCLUSION
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- Setpoint : Desired Speed
- Controlled Variable: Actual Speed
- Measuring Element: Tachometer measurement + Noise
- Signal Type: Voltage
- Disturbance: Variation of Load Torque
1. DC Motor Speed Control
W
x
EXAMPLE OF C/L CONTROLEXAMPLE OF C/L CONTROL
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2. Aircraft Autopilot
-Goal: Keep aircraft on desired path
-Disturbance: Wind,air density and etc
-Feedback: To reject Disturbance
EXAMPLE OF C/L CONTROLEXAMPLE OF C/L CONTROL