Assume you have plant defined by the transfer function G(s) = 1/(s+a). a %3D Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output %3D a) What is y(t) if U(s) is cosine input i.e. a U (s)= ? Here, s2+w? (t) is the inverse

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
Question
Assume you have
plant defined by the
transfer function G(s) =
1/(s+a).
a
G(s)U(s)
Y(s)
where U(s) is an input to
the plant and Y(s) is the
output
Let
a) What is y(t) if U(s) is
cosine input i.e.
a
U(s)=, ? Here,
s2 +w?
y(t) is
Laplace transform of
Y(s). [Hint: Use PFE
method]
the
inverse
Transcribed Image Text:Assume you have plant defined by the transfer function G(s) = 1/(s+a). a G(s)U(s) Y(s) where U(s) is an input to the plant and Y(s) is the output Let a) What is y(t) if U(s) is cosine input i.e. a U(s)=, ? Here, s2 +w? y(t) is Laplace transform of Y(s). [Hint: Use PFE method] the inverse
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer