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4 chapter 4 transfer functions

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SYSTEM DYNAMICS & CONTROL

CHAPTER 4

TRANSFER FUNCTIONS

Dr. Vo Tuong Quan
HCMUT - 2011


Transfer Functions
Purpose of transfer function???
A block diagram composes of 3 components

 Summing point
 Function block

 Pickoff point

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Transfer Functions

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Transfer Functions
Serial transfer functions



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Transfer Functions
Parallel transfer functions

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Transfer Functions
Transfer functions of feedback systems
Negative feedback

Unity Negative feedback

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Transfer Functions
Transfer functions of feedback systems
Positive feedback

Unity Positive feedback

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Transfer Functions
Moving a pickoff point behind a block

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Transfer Functions
Moving a pickoff point behind a block

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Transfer Functions
Moving a summing point behind a block

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Transfer Functions
Moving a summing point behind a block

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Transfer Functions
Interchange the position of two consecutive summing points

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Transfer Functions
Splitting the summing point

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Transfer Functions
Prohibit: Do not interchange the positions of a pickoff
point and a summing point

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Transfer Functions
Example 1

Find the equivalent transfer function of the following system15
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Transfer Functions

Example 1: Solution

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Transfer Functions
Example 1: Solution

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Transfer Functions
Example 1: Solution

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Transfer Functions
Example 2

Find the equivalent transfer function of the following system19
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Transfer Functions
Example 2: Solution


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Transfer Functions
Example 2: Solution

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Transfer Functions
Example 2: Solution

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Transfer Functions
Example 3

Find the equivalent transfer function of the following system23
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Transfer Functions
Example 3: Solution

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Transfer Functions
Example 3: Solution

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