Assume you have a plant defined by the transfer function G(s) = 1/s+a. %3D Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output U(s)=+w² ? Here, y(t) is the inverse Laplace a) What is y(t) if U(s) is a cosine input i.e. transform of Y(s). [Hint: Use PFE method]
Assume you have a plant defined by the transfer function G(s) = 1/s+a. %3D Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output U(s)=+w² ? Here, y(t) is the inverse Laplace a) What is y(t) if U(s) is a cosine input i.e. 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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![Assume you have a plant defined by the transfer function G(s) = 1/s+a.
%3D
Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output
U(s)=+w²
? Here, y(t) is the inverse Laplace
a) What is y(t) if U(s) is a cosine input i.e.
transform of Y(s). [Hint: Use PFE method]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9766dd4f-5b8a-4130-9bf4-d6bb3fc58a03%2F45780041-e6c3-4559-b723-1f1050d433eb%2Fnzfd0h_processed.png&w=3840&q=75)
Transcribed Image Text:Assume you have a plant defined by the transfer function G(s) = 1/s+a.
%3D
Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output
U(s)=+w²
? Here, y(t) is the inverse Laplace
a) What is y(t) if U(s) is a cosine input i.e.
transform of Y(s). [Hint: Use PFE method]
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