Courses

# Laplace Transforms Part 3 (Control Systems) Electrical Engineering (EE) Notes | EduRev

## Electrical Engineering (EE) : Laplace Transforms Part 3 (Control Systems) Electrical Engineering (EE) Notes | EduRev

``` Page 1

Control Systems
Part 3: Laplace Transforms
Page 2

Control Systems
Part 3: Laplace Transforms
Learning objectives
? To state the definition of Laplace transform
? To be able to use Laplace transform table to
solve differential equations
? To examine different performance measures in
time domain
? To represent system in terms of transfer
functions using Laplace transforms.
Page 3

Control Systems
Part 3: Laplace Transforms
Learning objectives
? To state the definition of Laplace transform
? To be able to use Laplace transform table to
solve differential equations
? To examine different performance measures in
time domain
? To represent system in terms of transfer
functions using Laplace transforms.
Differential equation and operator representations
The linear form of this model is:

Introducing a differential operator ?? ? ?:
Then
Page 4

Control Systems
Part 3: Laplace Transforms
Learning objectives
? To state the definition of Laplace transform
? To be able to use Laplace transform table to
solve differential equations
? To examine different performance measures in
time domain
? To represent system in terms of transfer
functions using Laplace transforms.
Differential equation and operator representations
The linear form of this model is:

Introducing a differential operator ?? ? ?:
Then
Definition of Laplace transform
Consider a continuous time variable y(t); 0 ? t < ?.
The Laplace transform pair associated with y(t) is
defined as
Page 5

Control Systems
Part 3: Laplace Transforms
Learning objectives
? To state the definition of Laplace transform
? To be able to use Laplace transform table to
solve differential equations
? To examine different performance measures in
time domain
? To represent system in terms of transfer
functions using Laplace transforms.
Differential equation and operator representations
The linear form of this model is:

Introducing a differential operator ?? ? ?:
Then
Definition of Laplace transform
Consider a continuous time variable y(t); 0 ? t < ?.
The Laplace transform pair associated with y(t) is
defined as
Laplace transform of a derivative term
The Laplace transform of the derivative of a
function:
where y(0
-
) is the initial condition associated
with y(t).
```
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;