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

Ayanda Lesetla

### Ayanda Lesetla (view profile)

さんによって質問されました 2019 年 8 月 19 日

### Luna (view profile)

さんによって コメントされました 2019 年 8 月 28 日
Luna

### Luna (view profile)

さんの 回答が採用されました
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

### Luna (view profile)

2019 年 8 月 19 日
What are the others D11, D13, D22 ? Do you only want to build a block for that?
Ayanda Lesetla

### Ayanda Lesetla (view profile)

2019 年 8 月 19 日
D11=1 D21=0 D22=1
Yes currently I only want to build a block for D12

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## 1 件の回答

2019 年 8 月 24 日

### Luna (view profile)

2019 年 8 月 24 日
採用された回答

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

### Ayanda Lesetla (view profile)

2019 年 8 月 28 日
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

2019 年 8 月 28 日