5-13. The block diagram of a control system is shown in Fig. 5P-13. Find the step-, ramp-, and parabolic-error constants. The error signal is defined to be e(t). Find the steady-state errors in terms of K and K, when the following inputs are applied. Assume that the system is stable. (a) r(t) = u,(t) (b) r(t) = tu,(r) (c) r(t) = (r²/2)u,(t) %3D %3D R(s) E(s) Y(s) 100 G) =1+0.2s K 20s K,

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5-13. The block diagram of a control system is shown in Fig. 5P-13. Find the step-, ramp-, and
parabolic-error constants. The error signal is defined to be e(t). Find the steady-state errors in terms of
K and K, when the following inputs are applied. Assume that the system is stable.
(a) r{t) = u(t)
(b) r(t) = tu,(t)
(c) r(t) = (r/2)u,(t)
%3D
%3D
R(s)
E(s)
Y(s)
100
G,3) =1+0.25
K
20s
K,
Figure 5P-13
Transcribed Image Text:5-13. The block diagram of a control system is shown in Fig. 5P-13. Find the step-, ramp-, and parabolic-error constants. The error signal is defined to be e(t). Find the steady-state errors in terms of K and K, when the following inputs are applied. Assume that the system is stable. (a) r{t) = u(t) (b) r(t) = tu,(t) (c) r(t) = (r/2)u,(t) %3D %3D R(s) E(s) Y(s) 100 G,3) =1+0.25 K 20s K, Figure 5P-13
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