Aircraft Tail Elevator Hydraulic Actuator Response to Unit Step Input

The transfer function given is:

G(s) = 3/s

When a unit step input R(s) = 1/s is applied, the output Y(s) can be found by multiplying the transfer function with the input:

Y(s) = G(s) * R(s) Y(s) = 3/s * 1/s Y(s) = 3/s^2

Taking the inverse Laplace transform of Y(s), we get the time-domain response:

y(t) = 3t

Therefore, the form of response expected from this actuator is a ramp function.