15. A controller gives an output in the range 4-20 mA to control the speed of a motor in the range rev/min. If the motor speed is proportional to the controller output, what will be the motor speed when the controller output is (a) 8 mA, (b) 40%? control system designed to control the level of water in the container to a constant level. o of 10 m³/h per percent of

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Number 15
rivative
co be
Nichols,
changed
riteria of
tive
be
, (b)
S
Valve
FIGURE 5.50 Problem 16.
Controller
Level
measurement
Output %
0
1
PROBLEMS
2
FIGURE 5.52 Problem 20.
FIGURE 5.51 Problem 17.
3
4
5
Time
6 Time in min
Time s
135
15. A controller gives an output in the range 4-20 mA to control the speed of a motor in the range 140-600
rev/min. If the motor speed is proportional to the controller output, what will be the motor speed when the
controller output is (a) 8 mA, (b) 40%?
16. Figure 5.50 shows a control system designed to control the level of water in the container to a constant level.
It uses a proportional controller with Kp equal to 10. The valve gives a flow rate of 10 m³/h per percent of
controller output, its flow rate being proportional to the controller input. If the controller output is initially
set to 50% what will be the outflow from the container? If the outflow increases to 600 m³/h, what will be the
new controller output to maintain the water level constant?
17. Sketch graphs showing how the controller output will vary with time for the error signal shown in
Figure 5.51 when the controller is set initially at 50% and operates as (a) just proportional with Kp = 5, (b)
proportional plus derivative with Kp = 5 and Ka = 1.0 s, (c) proportional plus integral with Kp = 5 and
K₁=0.5 s ¹.
18. Using the Ziegler-Nichols ultimate cycle method for the determination of the optimum settings of a PID
controller, oscillations began with a 30% proportional band and they had a period of 11 min. What would be
the optimum settings for the PID controller?
19. Using the Ziegler-Nichols ultimate cycle method for the determination of the optimum settings of a PID
controller, oscillations began with a gain of 2.2 with a period of 12 min. What would be the optimum settings
for the PID controller?
20. Figure 5.52 shows the open-loop response of a system to a unit step in controller output. Using the
Ziegler-Nichols data, determine the optimum settings of the PID controller.
21. Domestic washing machines are increasingly using fuzzy logic control to implement the washing of dirty
clothes. Suggest fuzzy logic rules that might be used.
22. Suggest fuzzy logic rules that might be used for a program for the motion control of a mobile robot on a
sloping rough terrain.
Transcribed Image Text:rivative co be Nichols, changed riteria of tive be , (b) S Valve FIGURE 5.50 Problem 16. Controller Level measurement Output % 0 1 PROBLEMS 2 FIGURE 5.52 Problem 20. FIGURE 5.51 Problem 17. 3 4 5 Time 6 Time in min Time s 135 15. A controller gives an output in the range 4-20 mA to control the speed of a motor in the range 140-600 rev/min. If the motor speed is proportional to the controller output, what will be the motor speed when the controller output is (a) 8 mA, (b) 40%? 16. Figure 5.50 shows a control system designed to control the level of water in the container to a constant level. It uses a proportional controller with Kp equal to 10. The valve gives a flow rate of 10 m³/h per percent of controller output, its flow rate being proportional to the controller input. If the controller output is initially set to 50% what will be the outflow from the container? If the outflow increases to 600 m³/h, what will be the new controller output to maintain the water level constant? 17. Sketch graphs showing how the controller output will vary with time for the error signal shown in Figure 5.51 when the controller is set initially at 50% and operates as (a) just proportional with Kp = 5, (b) proportional plus derivative with Kp = 5 and Ka = 1.0 s, (c) proportional plus integral with Kp = 5 and K₁=0.5 s ¹. 18. Using the Ziegler-Nichols ultimate cycle method for the determination of the optimum settings of a PID controller, oscillations began with a 30% proportional band and they had a period of 11 min. What would be the optimum settings for the PID controller? 19. Using the Ziegler-Nichols ultimate cycle method for the determination of the optimum settings of a PID controller, oscillations began with a gain of 2.2 with a period of 12 min. What would be the optimum settings for the PID controller? 20. Figure 5.52 shows the open-loop response of a system to a unit step in controller output. Using the Ziegler-Nichols data, determine the optimum settings of the PID controller. 21. Domestic washing machines are increasingly using fuzzy logic control to implement the washing of dirty clothes. Suggest fuzzy logic rules that might be used. 22. Suggest fuzzy logic rules that might be used for a program for the motion control of a mobile robot on a sloping rough terrain.
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