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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!