Q1 A) You are working as a control engineer in a factory producing glass tableware items. There is a rotary table that positions the produced items under the inspection device. The table is controlled by a DC motor. The inspection technician commands the motor to rotate by inputting (through a potentiometer) the required angle that the table needs to rotate so that the item is accurately positioned under the inspection device. It is reported to you by the inspector that the table is not working properly, and he needed your interference to identify the problem so that it can be fixed. After you reviewed the manual of the positioning system you figured out that the system is unstable and needs tuning. The following information was documented in operational manual of the system: 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 0 (t) do(t) + 0,(t) = k₂v(t) T dt v(t) = -k e(t) e(t) = 0,(1)-0,(1) 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. im 1. Obtain the differential equation with 0;(t) as the input and 0.(t) as the output.(P4)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Please answer these questions and do not reject them 1. Obtain the differential equation with O(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 4. Explain what you need to do to fix the problem.

Q1
A) You are working as a control engineer in a factory producing glass tableware
items. There is a rotary table that positions the produced items under the inspection
device. The table is controlled by a DC motor. The inspection technician commands
the motor to rotate by inputting (through a potentiometer) the required angle that the
table needs to rotate so that the item is accurately positioned under the inspection
device. It is reported to you by the inspector that the table is not working properly,
and he needed your interference to identify the problem so that it can be fixed. After
you reviewed the manual of the positioning system you figured out that the system is
unstable and needs tuning. The following information was documented in
operational manual of the system:
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)
Motor:
Control:
Amplifier:
Amplifier
8(t)
de (t)
dt
v(t) = -k,e(t)
e(t) = 0;(1)-0,(1)
T
e(t)
+ 0 (t) = k v(t)
Control
v(1)
Motor
8 (t)
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 0;(t) as the input and 0.(t) as the
output.(P4)

2. Draw the block diagram of the system with the transfer function of each
component. (P4)
3. Obtain the transfer function of the system(P4)
(s)
(s)
4. Explain what you need to do to fix the problem. (M2)

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