An AC motor with transfer function G(s) = is controlled using a (0.2s+1):(5s²+8s+65) "proportional only" negative feedback control, where the proportional gain is Kp. (a) Draw the block diagram of the closed loop control system with proportional-only unity negative feedback controller (b) Derive the closed loop transfer function of the control system (c) Determine theoretically whether the closed loop control system is stable or unstable for the different values of Kp (Gain)

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15
An AC motor with transfer function G(s) =
is controlled using a
(0.2s+1):(5s2+8s+65)
"proportional only" negative feedback control, where the proportional gain is Kp.
(a)
Draw the block diagram of the closed loop control system with proportional-only unity
negative feedback controller
(b)
Derive the closed loop transfer function of the control system
(c)
Determine theoretically whether the closed loop control system is stable or unstable
for the different values of Kp (Gain)
(d) Use Simulink to show the response of the complete system to a unit step change at
t= 3s in the set point for each value of Kp mentioned in part (c), and use the graphs obtained
to determine the steady state error for each Kp value [Hint: in your model, make sure that
the simulation time step does not exceed 3ms, and adjust the simulation time to 25s].
(e)
Apply Final value theorem to calculate the steady state error in the system response
corresponding to each value of Kp and compare to the results obtained in (d).
Transcribed Image Text:15 An AC motor with transfer function G(s) = is controlled using a (0.2s+1):(5s2+8s+65) "proportional only" negative feedback control, where the proportional gain is Kp. (a) Draw the block diagram of the closed loop control system with proportional-only unity negative feedback controller (b) Derive the closed loop transfer function of the control system (c) Determine theoretically whether the closed loop control system is stable or unstable for the different values of Kp (Gain) (d) Use Simulink to show the response of the complete system to a unit step change at t= 3s in the set point for each value of Kp mentioned in part (c), and use the graphs obtained to determine the steady state error for each Kp value [Hint: in your model, make sure that the simulation time step does not exceed 3ms, and adjust the simulation time to 25s]. (e) Apply Final value theorem to calculate the steady state error in the system response corresponding to each value of Kp and compare to the results obtained in (d).
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