The block diagram of a control system is shown in the figure. (a) Find the step-, ramp-, and parabolic- error constants (K₂, K₂, and Ka). The error signal is defined as e(t). (b) Find the steady-state errors in terms of K and K, when the following inputs are applied. Assume that the system is stable. (b.1) r(t) = us(t) (b.2) r(t) = tus(t) R(s) + E(s) K Com 10 G₂(s)=1 +0.2s 100 K₁ 20s Y(s)

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The block diagram of a control system is shown in the figure. (a) Find the step-, ramp-, and parabolic-
error constants (K₂, K₂, and Ka). The error signal is defined as e(t).
(b) Find the steady-state errors in terms of K and K, when the following inputs are applied. Assume
that the system is stable.
(b.1) r(t) = us(t)
(b.2) r(t) = tus(t)
R(s)
+
E(s)
K
100
G₂(s) = 1+0.2s
K₁+
20s
Y(s)
Transcribed Image Text:The block diagram of a control system is shown in the figure. (a) Find the step-, ramp-, and parabolic- error constants (K₂, K₂, and Ka). The error signal is defined as e(t). (b) Find the steady-state errors in terms of K and K, when the following inputs are applied. Assume that the system is stable. (b.1) r(t) = us(t) (b.2) r(t) = tus(t) R(s) + E(s) K 100 G₂(s) = 1+0.2s K₁+ 20s Y(s)
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