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Transfer function

A question has given me 3 graphs of a step responce of a real life system and asked me to work out the transfer function

I've been given vo(s)/vi(s) =[k(e^-tds)]/ts+1

Where k is the ratio of output and input
td is delay
t is time constant

Do I just work out the values from the graph and substitute the values into the equation they gave me?

So I would have 3 transfer functions

In addition the unit step had an amplitude of 3 would this effect the transfer function or when I want to work out the step response I would need to multiply the transfer function by 3/s rather than using 1/s then convert to time domain?
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Original post by man111111
A question has given me 3 graphs of a step responce of a real life system and asked me to work out the transfer function

I've been given vo(s)/vi(s) =[k(e^-tds)]/ts+1

Where k is the ratio of output and input
td is delay
t is time constant

Do I just work out the values from the graph and substitute the values into the equation they gave me?

So I would have 3 transfer functions

In addition the unit step had an amplitude of 3 would this effect the transfer function or when I want to work out the step response I would need to multiply the transfer function by 3/s rather than using 1/s then convert to time domain?


Can you upload a picture of the question?
I guess each pic corresponds to a different transfer function.
The gain k is the steady state input - output ratio so if the input is 3, you divide the steady state output by 3 to get the gain k.
Would help to see the question though.
(edited 4 years ago)

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