PROBLEM: A unity feedback system has the following forward transfer function: G(s): 10(s + 20)(s +30) s(s + 25)(s+35) a. Find the steady-state error for the following inputs: 15u(t), 15tu(t), and 15ru(t). b. Repeat for 10(s + 20)(s+30) S(s+25)(s+35)(s+50) G(s) ANSWERS: a. The closed-loop system is stable. For 15u(t), estep (0) = 0; for 15tu(t), eramp(0) = 2.1875; for 15(r)u(1), eparabola (0) = 00. b. The closed-loop system is unstable. Calculations cannot be made. %3D %3D

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PROBLEM: A unity feedback system has the following forward transfer function:
10(s + 20)(s + 30)
G(s):
s(s + 25)(s+35)
a. Find the steady-state error for the following inputs: 15u(t), 15tu(t), and 15ru(t).
b. Repeat for
10(s + 20)(s + 30)
S(s+25)(s+35)(s+50)
G(s)
ANSWERS:
a. The closed-loop system is stable. For 15u(t), estep(0) = 0; for 15tu(t),
eramp(0) = 2.1875; for 15(r)u(t), eparabola (0) = 0.
%3D
%3D
b. The closed-loop system is unstable. Calculations cannot be made.
Transcribed Image Text:PROBLEM: A unity feedback system has the following forward transfer function: 10(s + 20)(s + 30) G(s): s(s + 25)(s+35) a. Find the steady-state error for the following inputs: 15u(t), 15tu(t), and 15ru(t). b. Repeat for 10(s + 20)(s + 30) S(s+25)(s+35)(s+50) G(s) ANSWERS: a. The closed-loop system is stable. For 15u(t), estep(0) = 0; for 15tu(t), eramp(0) = 2.1875; for 15(r)u(t), eparabola (0) = 0. %3D %3D b. The closed-loop system is unstable. Calculations cannot be made.
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