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Topic: computation of output using transfer function and input
Replies: 1   Last Post: Feb 5, 2013 7:20 PM

 Nasser Abbasi Posts: 6,677 Registered: 2/7/05
Re: computation of output using transfer function and input
Posted: Feb 5, 2013 7:20 PM

On 2/4/2013 10:01 PM, Oommen Mathews wrote:
> Given a transfer function: H(s)= 1000/1000+s and input x(t)= cos1000t, how to compute the o/p?
>

H(s) is the laplace transform of the output over the laplace
transform of the input.

Hence H=Y/X

So Y= H * X

so just need to find the laplace transform of your x(t) and this
gives you the laplace of your Y. Now inverse laplace Y to find y(t)

---------------------------
EDU>> syms t s;
EDU>> Hs=1000/(1000+s);
EDU>> Y=Hs*laplace(cos(1000*t));
EDU>> y=ilaplace(Y,t)
----------------------

y =

cos(1000*t)/2 - exp(-1000*t)/2 + sin(1000*t)/2

--Nasser