introduction of control system engineering 200008.pptx

control

1. Process Control 1

2. Laplace Transform: Where: F ( s ) is the symbol for the Laplace transform, s is a complex independent variable, f ( t ) is some function of time to be transformed, and is an operator, defined by the integral. The Laplace transform of a function f ( t ) is defined as

3. Laplace Transform of Important Functions

4. 1. Step Function:

5. 2. Ramp Function

6. 3. Sine Function

7. 4. Exponential Function

8. 5. Exponential multiplied by time

9. Examples: