Q.4- A model for feedback control system employing both angular positionand velocity feedback is shown in figure bellow .The equation describingd²0dodithe system is Jdi²-=• K.[V₁-K₁0.K₂0-Ka((1)SummingV,(r)Motor白口食amplifierVelocitysensorK₂8PositionsensorWhere J is the rotary inertia KandK are the position and velocity feedbackgains, and K, is the gain between the input voltages to the motor torqueproduced. Derive expression for the closed loop system undamped naturalfrequency and damping ratio.

Given:The equation that describes the system is .Here, is rotary inertia, and are position and…

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.

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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