3. Consider the closed-loop system in the following figure where14G(s) =Kand H(s) =s + 10s² + 5s + 6T«(s)+R(s)G(s)Y(s)H(s)Fig. Feedback system. a) Compute the transfer function T(s)Y (s)R(s)*b) Find the tracking error E(s) and the steady-state tracking error due to a unitstep input R(s) = 1/s. (assume zero disturbance Ta )Y (s)c) Find the transfer functionand determine the steady-state error of theTa(s)output due to a unit disturbance input, i.e., Ta(s) = 1/s. (assume R(s) = 0)d) Compute the sensitivity S.

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3. Consider the closed-loop system in the following figure where 14 G(s) = K and H(s) = s + 10 s² + 5s + 6 T«(s) + R(s) G(s) Y(s) H(s) Fig. Feedback system.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

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3. Consider the closed-loop system in the following figure where
14
G(s) =
K
and H(s) =
s + 10
s² + 5s + 6
T«(s)
+
R(s)
G(s)
Y(s)
H(s)
Fig. Feedback system.

a) Compute the transfer function T(s)
Y (s)
R(s)*
b) Find the tracking error E(s) and the steady-state tracking error due to a unit
step input R(s) = 1/s. (assume zero disturbance Ta )
Y (s)
c) Find the transfer function
and determine the steady-state error of the
Ta(s)
output due to a unit disturbance input, i.e., Ta(s) = 1/s. (assume R(s) = 0)
d) Compute the sensitivity S.

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