4 chapter 4 transfer functions

SYSTEM DYNAMICS & CONTROL

CHAPTER 4

TRANSFER FUNCTIONS

Dr Vo Tuong Quan

HCMUT - 2011

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Transfer Functions

 2011 – Vo Tuong Quan

Purpose of transfer function???

A block diagram composes of 3 components

 Summing point

 Function block

 Pickoff point

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Transfer Functions

 2011 – Vo Tuong Quan

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Transfer Functions

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Example 1: Solution

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Transfer Functions

 2011 – Vo Tuong Quan

Example 1: Solution

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Transfer Functions

 2011 – Vo Tuong Quan

Example 1: Solution

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Transfer Functions

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Example 2: Solution

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Transfer Functions

 2011 – Vo Tuong Quan

Example 2: Solution

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Transfer Functions

 2011 – Vo Tuong Quan

Example 2: Solution

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Transfer Functions

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Example 3: Solution

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Transfer Functions

 2011 – Vo Tuong Quan

Example 3: Solution

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Transfer Functions

 2011 – Vo Tuong Quan

Example 3: Solution

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Transfer Functions

 2011 – Vo Tuong Quan

Example 3: Solution

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Transfer Functions

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Transfer Functions

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Typical Matlab commands:

• Step  Step response

• Unit impulse  Impulse respone

• Unit ramp  Ramp respone

• Lsim  Arbitrary response