Q.4- A model for feedback control system employing both angular position and velocity feedback is shown in figure bellow .The equation describing the system is J-KV,-KO-K₁²- 2 do dt +0 V,() Kun Summing amplifier K₂0 Motor (2(1) Velocity sensor Position sensor Where J is the rotary inertia K and K are the position and velocity feedback gains, and K, is the gain between the input voltages to the motor torque produced. Derive expression for the closed loop system undamped natural frequency and damping ratio.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q.4- A model for feedback control system employing both angular position
and velocity feedback is shown in figure bellow .The equation describing
d²0
do
di
the system is J
di²
-
=
• K.[V₁-K₁0.
K₂0-Ka
((1)
Summing
V,(r)
Motor
白口食
amplifier
Velocity
sensor
K₂8
Position
sensor
Where J is the rotary inertia KandK are the position and velocity feedback
gains, and K, is the gain between the input voltages to the motor torque
produced. Derive expression for the closed loop system undamped natural
frequency and damping ratio.
Transcribed Image Text:Q.4- A model for feedback control system employing both angular position and velocity feedback is shown in figure bellow .The equation describing d²0 do di the system is J di² - = • K.[V₁-K₁0. K₂0-Ka ((1) Summing V,(r) Motor 白口食 amplifier Velocity sensor K₂8 Position sensor Where J is the rotary inertia KandK are the position and velocity feedback gains, and K, is the gain between the input voltages to the motor torque produced. Derive expression for the closed loop system undamped natural frequency and damping ratio.
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