Population growth in simulink

Hi,

I want to simulate the growth of a population in simulink. The Laplace transfer is is 5302778 / s-0.0063.

I have tried to put the input as 5302778 which is the population and then setting the transfer function as 1/s-0.0063, and scope as output. However, the simulation that comes up is not right. Therefore I tried with step and sine wave as inputs but they still wont come out right.

I am wondering if I should do it another way and was hoping someone could help me with this? :)

Answer 1

[Jyothis Gireesh]

Here are a few pointers which may be of help to you:

• It may not be possible to implement the transfer function as as the numerator of the actual transfer function is not unity.
• One possible solution is as follows:

1. Use the “transfer function” block in Simulink with the numerator and denominator coefficients fields as “5302778” and “[1 -0.0063]” respectively.
2. Input can be given using "step" block.
3. The analytical solution of this system for a step input is given by

The simulated output in this case resembles the one obtained analytically.