5) Assume you have a plant defined by the transfer function G(s) %3D s+a Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output. a) What is y(t) if U(s) is a cosine input i.e. U(s) ? Here, y(t) is the inverse s²+w² Laplace transform of Y(s). [Hint: Use PFE method]
5) Assume you have a plant defined by the transfer function G(s) %3D s+a Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output. a) What is y(t) if U(s) is a cosine input i.e. U(s) ? Here, y(t) is the inverse s²+w² Laplace transform of Y(s). [Hint: Use PFE method]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![5)
Assume you have a plant defined by the transfer function G(s) =
1
%3D
s+a
Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output.
a) What is y(t) if U(s) is a cosine input i.e. U(s) =
? Here, y(t) is the inverse
s²+w²
Laplace transform of Y(s). [Hint: Use PFE method]
b) What is y(t) if U(s) is a step input ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c3d90b4-9fd5-4adf-a3e6-4e342c679134%2F4e4f7549-a66f-435b-9ac6-a73b3505ce00%2Foccx75q_processed.png&w=3840&q=75)
Transcribed Image Text:5)
Assume you have a plant defined by the transfer function G(s) =
1
%3D
s+a
Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output.
a) What is y(t) if U(s) is a cosine input i.e. U(s) =
? Here, y(t) is the inverse
s²+w²
Laplace transform of Y(s). [Hint: Use PFE method]
b) What is y(t) if U(s) is a step input ?
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