U(s) 10 + Figure 1 2 1 s²+2s+3 C(s) MSD Q3 A mass-spring-damper (MSD) system is modelled by the transfer function Gp(s) = 1 s² + 2s +3 The control system is designed to control the MSD system described in figure 1, where U(s) is the reference input and C(s) is the displacement of the object. (a) Use Matlab and block reduction techniques to determine the closed loop transfer function C(s)/U(s). [20 Marks] (b) Plot the unit step response of the system output.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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U(s)
10
+
Figure 1
2
1
s²+2s+3
C(s)
MSD
Transcribed Image Text:U(s) 10 + Figure 1 2 1 s²+2s+3 C(s) MSD
Q3
A mass-spring-damper (MSD) system is modelled by the transfer function
Gp(s) =
1
s² + 2s +3
The control system is designed to control the MSD system described in
figure 1, where U(s) is the reference input and C(s) is the displacement of the
object.
(a) Use Matlab and block reduction techniques to determine the closed
loop transfer function C(s)/U(s).
[20 Marks]
(b)
Plot the unit step response of the system output.
Transcribed Image Text:Q3 A mass-spring-damper (MSD) system is modelled by the transfer function Gp(s) = 1 s² + 2s +3 The control system is designed to control the MSD system described in figure 1, where U(s) is the reference input and C(s) is the displacement of the object. (a) Use Matlab and block reduction techniques to determine the closed loop transfer function C(s)/U(s). [20 Marks] (b) Plot the unit step response of the system output.
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