I have this transfer function and input, and I have to manually calculate what the systems response will be. The transfer function is:
and the input is:
I multiplied the two functions and used fraction decomposition by partial fraction expansion and calculated the inverse laplace transform and this is what I got:
But the response I get from that function does not correspond to the one I get using matlab. This is the matlab code I used:
t=0:0.1:100; FT6=tf(0.1,[1 1 0.1]) r=4*sin(10*t); V=lsim(FT6,r,t); plot(t,V,'-')
How do I calculate it properly by hand?