In a coupled tanks system, we use a PID controller. The transfer function of the controller is defined as: where Gc(s) = kp + k₁ +kas kp=5,k=0,ka=0 a) We would like to change the water level in tank 2 from 4" to 5.5". We have recorded the water level in tank 2 as a function of time. Please estimate rise time, percentage overshoot and steady state error from this graph. (20 pts) b) We would like to decrease the percentage overshoot and the steady state error. How will you tune each coefficient, kp kį ką? (increased, decreased or unchanged) (20 pts) Set point 60 5.5 นวน! 5 4.5 Controller GC(s) Tank system Gp(s) linearized pump Tank2 level Linearized sensor 4 20 30 40 50 60 S 70 80 90 100 110
In a coupled tanks system, we use a PID controller. The transfer function of the controller is defined as: where Gc(s) = kp + k₁ +kas kp=5,k=0,ka=0 a) We would like to change the water level in tank 2 from 4" to 5.5". We have recorded the water level in tank 2 as a function of time. Please estimate rise time, percentage overshoot and steady state error from this graph. (20 pts) b) We would like to decrease the percentage overshoot and the steady state error. How will you tune each coefficient, kp kį ką? (increased, decreased or unchanged) (20 pts) Set point 60 5.5 นวน! 5 4.5 Controller GC(s) Tank system Gp(s) linearized pump Tank2 level Linearized sensor 4 20 30 40 50 60 S 70 80 90 100 110
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.17P
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Transcribed Image Text:In a coupled tanks system, we use a PID controller. The transfer function of the controller is
defined as:
where
Gc(s) = kp +
k₁
+kas
kp=5,k=0,ka=0
a) We would like to change the water level in tank 2 from 4" to 5.5". We have recorded the
water level in tank 2 as a function of time. Please estimate rise time, percentage overshoot
and steady state error from this graph. (20 pts)
b) We would like to decrease the percentage overshoot and the steady state error. How will
you tune each coefficient, kp kį ką? (increased, decreased or unchanged) (20 pts)

Transcribed Image Text:Set point
60
5.5
นวน!
5
4.5
Controller GC(s)
Tank system Gp(s)
linearized pump
Tank2 level
Linearized sensor
4
20
30
40
50
60
S
70
80
90
100
110
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