The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by:

Understanding Motor Controls
4th Edition
ISBN:9781337798686
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter54: The Operational Amplifier
Section: Chapter Questions
Problem 7RQ: Name two effects of negative feedback.
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For the model defined in Question 1, is the closed loop system with the negative feedback control law?
0 0 0
;]*
X
0
u=-Kx=
O a.
O b.
O c.
unstable
0 1 0
asymptotically stable
not unstable
O d. not asymptotically stable
Transcribed Image Text:For the model defined in Question 1, is the closed loop system with the negative feedback control law? 0 0 0 ;]* X 0 u=-Kx= O a. O b. O c. unstable 0 1 0 asymptotically stable not unstable O d. not asymptotically stable
The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the
flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space
model is given by:
X =
-30.3
0.00012
0
0
0 00
6.02 0 0
-3.77 0 0
-2.80 0 0
x+
6.15
0
0
0
0
0
3.04
0.052
u
y =
0
0
0 -7.3
0
0
0 -25.0
Transcribed Image Text:The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: X = -30.3 0.00012 0 0 0 00 6.02 0 0 -3.77 0 0 -2.80 0 0 x+ 6.15 0 0 0 0 0 3.04 0.052 u y = 0 0 0 -7.3 0 0 0 -25.0
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