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7/25/2019 06- Second Order Systems
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PROCESS DYNAMICS
AND CONTROL5 Second Order SystemsEngr. Anthony Hilmer S. Medrano
Ref: Process Systems Analysis and Control 3rdEd by D. Coughanowr and S LeBlanc
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Lecture Outline
Second Order Systems
Differential Equation
Practical Example
General Form
Nature of Response
Terms Used to Describe an Underdamped System
Series Connected First Order Systems
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Second Order Differential Equation
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A Practical Example!
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Developing the Mathematical Model
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Mathematical Model of Manometer
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General Form of Second Order Systems
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Step Response
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Nature of Step Response
=1 Critically damped
=0 Undamped
0
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Terms Used to Describe an
Underdamped System
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Impulse Response
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Sinusoidal Response
Underdamped System
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Series Connected First Order Systems
Types of Series Connection
1. Non-interacting System
2. Interacting Systems
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Non-Interacting Systems
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Interacting Systems
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Example
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END!