The block diagram representing a mechanical system is shown in Figure 1. The desired set point to controllers is R(s) = 100/s. The system vibrates as shown in Figure 2. (i) Find the transfer function of C(s)/R(s) by reducing the block diagram (ii) Determine the value of K and P. (iii) Determine the stability of the system

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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The block diagram representing a mechanical system is shown in Figure 1. The desired set
point to controllers is R(s) = 100/s. The system vibrates as shown in Figure 2.
(i) Find the transfer function of C(s)/R(s) by reducing the block diagram
(ii) Determine the value of K and P.
(iii) Determine the stability of the system
1
K
R(s)
1
C(s)
s+ 10
s2
P
Figure 1: Block Diagram of Mechanical System
x(t)
0.4
0.3
Time (seconds)
0.9 s
Figure 2: System response curve
Transcribed Image Text:The block diagram representing a mechanical system is shown in Figure 1. The desired set point to controllers is R(s) = 100/s. The system vibrates as shown in Figure 2. (i) Find the transfer function of C(s)/R(s) by reducing the block diagram (ii) Determine the value of K and P. (iii) Determine the stability of the system 1 K R(s) 1 C(s) s+ 10 s2 P Figure 1: Block Diagram of Mechanical System x(t) 0.4 0.3 Time (seconds) 0.9 s Figure 2: System response curve
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