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topcat123
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Homework Statement
A process can be represented by the first order equation
(4δy(t)/δt) + y(t) = 3u(t)
Assume the initial state is steady (y = 0 at t = –0).
(a) Determine the transfer function of this process in the s domain.
(b) If the input is a ramp change in u(t) = 4t, determine the value of y(t)
when t = 10 s.
Homework Equations
Ramp change 1/s2
The Attempt at a Solution
(a)
Transfer function
{sY(s) + y(-0)} + Y(s)/4 = 3U(s)/4
sY(s) + Y(s)/4 = 3U(s)/4
G(s) = Y(s)/U(s) = ¾/(s + ¼) = 4/4(s + ¼)
(b)
This is where i am stuck i realize this is where the ramp change 1/s2 comes in.
Y(s) =¾/(s + ¼) × 1/s2 = ¾/s(s + ¼)
I think this is correct but I don't know where to go from here.
any help would be appreciated.