a. Determine the poles and zeros of the transfer function 3(s² +16) Y(s) U(s) (2s² +18) (s+ + 1)² b. If the input u(t) to this system is a constant, estimate the output response y(t) using only the pole locations (ignore the zeros determined in a above.), ie. just indicate the type of time functions that appear in the response.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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poles

a.
Determine the poles and zeros of the transfer function
3(s² +16)
Y(s)
U(s) (2s² +18) (s+
+ 1)²
b.
If the input u(t) to this system is a constant, estimate the output response y(t)
using only the pole locations (ignore the zeros determined in a above.), ie. just
indicate the type of time functions that appear in the response.
Transcribed Image Text:a. Determine the poles and zeros of the transfer function 3(s² +16) Y(s) U(s) (2s² +18) (s+ + 1)² b. If the input u(t) to this system is a constant, estimate the output response y(t) using only the pole locations (ignore the zeros determined in a above.), ie. just indicate the type of time functions that appear in the response.
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