How can I include a time delay in Simulink of the below equation?

Hi All, i am designing a Decoupling controller for a 2x2 TITO of a flotation column, please can you assist me on ways i can insert the below equation in simulink.

[Luna]

What are the others D11, D13, D22 ? Do you only want to build a block for that?

[Ayanda Lesetla]

D11=1 D21=0 D22=1

Yes currently I only want to build a block for D12

Answer 1

[Luna]

I think you should calculate the z-transform of the e^(-44s) part. It will become a discrete transport delay in simulink. That means you are adding 22 poles to z-domain plot.

Look at these equations:

z = e^(sT)

T = 1/F

Check out the books where it is written laplace to z-transform and you will understand how a complex number s is.

And your first part of the equation is a first order simple continuous transfer function.

Summary: Use a 1st order continuous transfer function and a transport delay blocks in simulink library.

It will look like somethin like this:

[Ayanda Lesetla]

Hi Luna, I have attempted the above solution to my problem and I am getting satisfactory results on my closed loop system.

Thank you very much for your time and assistance.

[Luna]

Your welcome :)