Consider the control system shown in Figure 1. E(s) + R(s)O- C(s). Σ K 1 Σ 4 -o Y(s) s+a U(s) -2 + Σ Figure 1 Control system block diagram (a) Compute the transfer function of the system T(s) = Y(s)/ R(s). (b) Compute E(s) and determine the steady-state error due to a unit step input, that is, let R(s) =1/ s. (c) Compute the sensitivity s. (d) Calculate the response y(t) for a unit step input R(s) =1/ s, for a = 2, and K = 2. +
Consider the control system shown in Figure 1. E(s) + R(s)O- C(s). Σ K 1 Σ 4 -o Y(s) s+a U(s) -2 + Σ Figure 1 Control system block diagram (a) Compute the transfer function of the system T(s) = Y(s)/ R(s). (b) Compute E(s) and determine the steady-state error due to a unit step input, that is, let R(s) =1/ s. (c) Compute the sensitivity s. (d) Calculate the response y(t) for a unit step input R(s) =1/ s, for a = 2, and K = 2. +
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:Consider the control system shown in Figure 1.
E(s)
+
R(s)O-
C(s).
Σ
K
1
Σ
4
-o Y(s)
s+a
U(s)
-2
+
Σ
Figure 1 Control system block diagram
(a) Compute the transfer function of the system T(s) = Y(s)/ R(s).
(b) Compute E(s) and determine the steady-state error due to a unit step input, that is, let R(s) =1/ s.
(c) Compute the sensitivity s.
(d) Calculate the response y(t) for a unit step input R(s) =1/ s, for a = 2, and K = 2.
+
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