1. 2. 3. 4. 5. What is the system type Find the value of Kand a such that the steady-state output position differs from the input position by 0.05 of the input velocity. The natural frequency of the closed-loop system will be wn = 4 rad. s-¹. Deduce the closed-loop system's damping ratio . Calculate the sensitivity of the closed-loop transfer function to changes in the parameter K. How you can reduce the sensitivity? Find the sensitivity of the steady-state error to changes in parameter K and a. Conclude.
1. 2. 3. 4. 5. What is the system type Find the value of Kand a such that the steady-state output position differs from the input position by 0.05 of the input velocity. The natural frequency of the closed-loop system will be wn = 4 rad. s-¹. Deduce the closed-loop system's damping ratio . Calculate the sensitivity of the closed-loop transfer function to changes in the parameter K. How you can reduce the sensitivity? Find the sensitivity of the steady-state error to changes in parameter K and a. Conclude.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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solve 3 ,4,5 fast please i have to study it
Transcribed Image Text:The unity feedback system of Figure 1 has a transfer function G(s) =
=
a ramp input,r(t)
= 0.5tu(t).
1.
2.
3.
4.
5.
R(s) +
E(s)
G(s)
Figure 1
E(S)
C(s)
K
s(s+a)
.
and is to follow
What is the system type
Find the value of Kand a such that the steady-state output position differs from the input
position by 0.05 of the input velocity. The natural frequency of the closed-loop system will
be wn = 4 rad.s-1.
Deduce the closed-loop system's damping ratio .
Calculate the sensitivity of the closed-loop transfer function to changes in the parameter K.
How you can reduce the sensitivity?
Find the sensitivity of the steady-state error to changes in parameter K and a. Conclude.
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Step 1: Given Data:
VIEWStep 2: System type.
VIEWStep 3: The values of constants K , alpha and damping coefficient zeta.
VIEWStep 4: Sensitivity of the closed-loop transfer function with respect to K.
VIEWStep 5: Sensitivity of the steady-state error with respect to K.
VIEWStep 6: Sensitivity of the steady-state error with respect to alpha.
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