The positioning system shown below is designed to follow a potentiometer input 8(t), with a motor driving output 8(t). The relationships between variables in the system are as follows: ww 0(1) Motor: Control: Amplifier: Amplifier 8 (t) T -+0,(t)=k_v(t) do (1) dt v(t) = -k e(t) e(t)=0,(1)-0,(1) e(t) Control (s) Ⓒ),(s) v(1) Motor 8 (1) Check the stability of the system if you have the following information: Current values of t=0.05 s, ka=2 rad/v and kc=10 v/rad. Emm 1. Obtain the differential equation with 0:(t) as the input and 0.(t) as the output 2. Draw the block diagram of the system with the transfer function of each component. 3. Obtain the transfer function of the system

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1. Obtain the differential equation with it) as the input and o(t) as the output 2. Draw the block diagram of the system with the transfer function of each component. 3. Obtain the transfer function of the system 4. Explain what you need to do to fix the problem.
The positioning system shown below is designed to follow a potentiometer input 8(t),
with a motor driving output 8(t). The relationships between variables in the system are
as follows:
MW
0(1)
do(t) +0,(t)=k_v(t)
dt
Control:
v(t) = -k e(t)
Amplifier: e(t) = 0,(1)-0,(1)
Motor:
Amplifier
8 (t)
T
e(t)
Control
v(1)
Motor
8 (1)
Check the stability of the system if you have the following information:
Current values of t=0.05 s, ka=2 rad/v and kc=10 v/rad.
+
1. Obtain the differential equation with 0₁(t) as the input and 0.(t) as the
output
0,(s)
0,(s)
4. Explain what you need to do to fix the problem.
2. Draw the block diagram of the system with the transfer function of each
component.
3. Obtain the transfer function of the system
Transcribed Image Text:The positioning system shown below is designed to follow a potentiometer input 8(t), with a motor driving output 8(t). The relationships between variables in the system are as follows: MW 0(1) do(t) +0,(t)=k_v(t) dt Control: v(t) = -k e(t) Amplifier: e(t) = 0,(1)-0,(1) Motor: Amplifier 8 (t) T e(t) Control v(1) Motor 8 (1) Check the stability of the system if you have the following information: Current values of t=0.05 s, ka=2 rad/v and kc=10 v/rad. + 1. Obtain the differential equation with 0₁(t) as the input and 0.(t) as the output 0,(s) 0,(s) 4. Explain what you need to do to fix the problem. 2. Draw the block diagram of the system with the transfer function of each component. 3. Obtain the transfer function of the system
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