For the control loop shown below:
1. Redraw the loop in the frequency domain using Laplace transforms (30 points) 2. Determine the closed loop transfer function Y(s) as a function of Z(s) (40 points) 3. Is the control loop stable or unstable? if unstable, at what frequency does it blow up? (30 points)
Note that r, the setpoint, is a positive constant real number.
Submit your solution to the assignment in Canvas.
x(t) +
p(x
+y(t)
x(t)dt
x(t+C
p
Find the closed-loop transfer function Y(s) as a function of Z(s. Determine if it is stable.if it is unstable,at what frequencies is it unstable?
r