# State space representation and RLC transfer function.

#### majkimajk

Joined Jan 4, 2018
1
Hi, so I'd like to determine the transfer function of the following RLC circuit having the state space equations (that are hopefully correct).
Now, should I use these formulae given in this article for example ?

http://lpsa.swarthmore.edu/Representations/SysRepTransformations/TF2SS.html  #### MrAl

Joined Jun 17, 2014
6,833
Hi, so I'd like to determine the transfer function of the following RLC circuit having the state space equations (that are hopefully correct).
Now, should I use these formulae given in this article for example ?

http://lpsa.swarthmore.edu/Representations/SysRepTransformations/TF2SS.html  Hello there,

You can check this yourself as well as any other example.
Following their method, find the transfer function.
Then, just compute the transfer function directly using impedances.
Compare the results.
If the results are the same, their method is given correctly.

Do you know how to compute the transfer function directly without using the state transition matrix?

LATER:
Quick note, put R in parallel with C to create Z, then we have:
Vout/Vin=Z/(Z+s*L)

and you can compare your matrix solution with that one once you work it out.

Also, your A matrix does not look correct. That "1/L" should be "-1/L".

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