Consider the motor position control system shown in Figure 6 (a). The system includes the velocity feedback (Gain Kg) to form a PD-type control action. 6 (a) Find Kg and Ke to obtain a system damping ratio 0.5 and steady-state error 0.05 for step input T1. Assume input coming from R(s) = 0. The above control scheme has been modified by adding an integrator (see Figure 6 (b)). Assume K=8.0 and K=0.79, use Routh-Hurwitz criterion to determine the limiting value of K; for absolute stability.

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6
Consider the motor position control system shown in Figure 6 (a). The system
includes the velocity feedback (Gain K2) to form a PD-type control action.
(a)
Find Kg and K. to obtain a system damping ratio 0.5 and steady-state error 0.05 for
step input Ti. Assume input coming from R(s) = 0.
(b)
The above control scheme has been modified by adding an integrator (see Figure 6
(b)). Assume K=8.0 and K=0.79, use Routh-Hurwitz criterion to determine the
limiting value of K; for absolute stability.
Transcribed Image Text:6 Consider the motor position control system shown in Figure 6 (a). The system includes the velocity feedback (Gain K2) to form a PD-type control action. (a) Find Kg and K. to obtain a system damping ratio 0.5 and steady-state error 0.05 for step input Ti. Assume input coming from R(s) = 0. (b) The above control scheme has been modified by adding an integrator (see Figure 6 (b)). Assume K=8.0 and K=0.79, use Routh-Hurwitz criterion to determine the limiting value of K; for absolute stability.
R(s)
E
4
C(s)
K.
2.5
s(s +1)
Figure 6 (a)
R(s)
E
K,
K. +
C(s)
4
2.5
s( s+1)
Ks
Figure 6 (b)
Transcribed Image Text:R(s) E 4 C(s) K. 2.5 s(s +1) Figure 6 (a) R(s) E K, K. + C(s) 4 2.5 s( s+1) Ks Figure 6 (b)
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