(a) Derive the equivalent transfer function, Heg(8), for the system shown below. The Laplace Transforms of hi(t) and h2(t) are H1(s) and H2(s) respectively. Leave your answer in terms of K, H1(s) and H2(s). (b) Suppose K = 1, H1(s) = and H2(s) = 5. What are the poles of Heg(s)? Is the overall system stable? Explain. %3D Heq (s) e(t) x(t) K h,(t) ► y(t) + -ħ;(t) + Figure 2: Figure for Problem 3. +1

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(a) Derive the equivalent transfer function, Heg(s), for the system shown below. The
Laplace Transforms of h1(t) and h2(t) are H1(s) and H2(s) respectively. Leave your
answer in terms of K, H1(s) and H2(s).
(b) Suppose K = 1, H1(s) = and H2(s) = 5. What are the poles of Heg(s)? Is
the overall system stable? Explain.
Heq (s)
x(t)
e(t)
K
· y(t)
h,(t)
+
|h2(t)
Figure 2: Figure for Problem 3.
Transcribed Image Text:(a) Derive the equivalent transfer function, Heg(s), for the system shown below. The Laplace Transforms of h1(t) and h2(t) are H1(s) and H2(s) respectively. Leave your answer in terms of K, H1(s) and H2(s). (b) Suppose K = 1, H1(s) = and H2(s) = 5. What are the poles of Heg(s)? Is the overall system stable? Explain. Heq (s) x(t) e(t) K · y(t) h,(t) + |h2(t) Figure 2: Figure for Problem 3.
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