Consider the system shown in Figure 10--102, which involves velocity feedback. Deter- mine the values of the amplifier gain K and the velocity feedback gain K, so that the following specifications are satisfied: 1. Damping ratio of the closed-loop poles is 0.5 2. Settling time s2s 1 3. Static velocity error constant K. 2 50 s 4. 0 < K, < 1 R(s) C(s) K 2s +1

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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replace the third specification on static velocity error constant with steady-state error due to a unit ramp input to be less than 0.2. Big and clear handwriting Answer please
Problem B-10-12
Consider the system shown in Figure 10--102, which involves velocity feedback. Deter-
mine the values of the amplifier gain K and the velocity feedback gain K, so that the
following specifications are satisfied:
1. Damping ratio of the closced-loop poles is 0.5
2. Settling time < 2 s
3. Static velocity error constant K. 2 50 s
4. 0 < K½ < 1
R(s)
C(s)
K
2s + 1
Figure 10-102 Control system.
115
Transcribed Image Text:Problem B-10-12 Consider the system shown in Figure 10--102, which involves velocity feedback. Deter- mine the values of the amplifier gain K and the velocity feedback gain K, so that the following specifications are satisfied: 1. Damping ratio of the closced-loop poles is 0.5 2. Settling time < 2 s 3. Static velocity error constant K. 2 50 s 4. 0 < K½ < 1 R(s) C(s) K 2s + 1 Figure 10-102 Control system. 115
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