KING FAHD UNIVERSITY CHEMICAL ENGINEERING COURSE NOTES (Process Control)-Lec11

# KING FAHD UNIVERSITY CHEMICAL ENGINEERING COURSE NOTES (Process Control)-Lec11

This preview shows pages 1–5. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Chapter 4 Important Properties of Laplace Transforms 1. Final Value Theorem It can be used to find the steady-state value of a closed loop system (providing that a steady-state value exists. Statement of FVT: ( 29 ( 29 lim lim t s sY s y t . . = providing that the limit exists (is finite) for all where Re ( s ) denotes the real part of complex variable, s . ( 29 Re 0, s . 2. Initial Value Theorem 2 Chapter 4 Example: Suppose, ( 29 ( 29 5 2 (3-34) 5 4 s Y s s s + = + Then, ( 29 ( 29 5 2 lim 0.5 lim 5 4 t s s y y t s . . + @ = = = + 3. Time Delay Time delays occur due to fluid flow, time required to do an analysis (e.g., gas chromatograph). The delayed signal can be represented as ( 29 θ θ time delay y t- = Also, ( 29 ( 29 θ θ s y t e Y s-- = L 3 Chapter 4 Transfer Functions • Convenient representation of a linear , dynamic model. • A transfer function (TF) relates one input and one output: ( 29 ( 29 ( 29 ( 29 system x t y t X s Y s . The following terminology is used: x input forcing function “cause” y output response “effect” 4 Chapter 4 Definition of the transfer function:...
View Full Document

{[ snackBarMessage ]}

### Page1 / 13

KING FAHD UNIVERSITY CHEMICAL ENGINEERING COURSE NOTES (Process Control)-Lec11

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online