Negative feedback closed-loop control system with input R(s) and output Y(s). a=7, b=2.3 The controller from before is now replaced with a purely proportional control term, i.e. Gc(s) = Kp. The gains "Kp", %3D "Ka", and parameters "a", "b" are positive values, defined in consistent units. calculate the value of the system gain Ka required to achieve a closed-loop system with a damping ratio of = 0.5, and an undamped natural frequency of Wn= 40 rad/

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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Negative feedback closed-loop control
system with input R(s) and output Y(s).
a=7, b=2.3 The controller from before is
now replaced with a purely proportional
control term, i.e. Gc(s) = Kp. The gains "Kp",
"Ka", and parameters "a", "b" are positive
II
values, defined in consistent units.
calculate the value of the system gain Ka
required to achieve a closed-loop system
with a damping ratio of = 0.5, and an
undamped natural frequency of Wn= 40 rad/
S.
R(s)+
K.
G, (s) O(s+ a)
s+b
Transcribed Image Text:Negative feedback closed-loop control system with input R(s) and output Y(s). a=7, b=2.3 The controller from before is now replaced with a purely proportional control term, i.e. Gc(s) = Kp. The gains "Kp", "Ka", and parameters "a", "b" are positive II values, defined in consistent units. calculate the value of the system gain Ka required to achieve a closed-loop system with a damping ratio of = 0.5, and an undamped natural frequency of Wn= 40 rad/ S. R(s)+ K. G, (s) O(s+ a) s+b
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