Starting with the Laplace transform open-loop(s) of the open-loop system: a. Find open-loop(t) in response to the pulse input given in Equation y(t)=A-Au(t-T), t0. Leave your answer. b. Verify...

Starting with the Laplace transform θ_open-loop(s) of the open-loop system:

a. Find θ_open-loop(t) in response to the pulse input given in Equation y(t)=A-Au(t-T), t≥0. Leave your answer.

b. Verify Equation θ_open-loop(∞)=K_pK_sAT=5AT for the final value θ_open-loop(∞).

c. Verify the open-loop pulse response shown in Figure

d. Find and plot the open-loop step response (i)As the limit as T→∞ of the open-loop pulse response. (i)By inverse Laplace transformation of θ_open-loop(s) when U(s)=A/s