modeling10

# modeling10 - 3 1 9 1 Y s s s s X s s s s = Taking the...

This preview shows page 1. Sign up to view the full content.

Modeling Q UESTION 10 For the systems described by the differential equations below, determine the transfer functions ( 29 ( 29 Y s X s . a. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 9 7 7 3 y t y t y t y t x t x t x t x t + + + = + + + b. ( 29 ( 29 ( 29 ( 29 ( 29 6 3 8 y t y t y t x t x t + + = + Taking the Laplace transform of ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 9 7 7 3 y t y t y t y t x t x t x t x t + + + = + + + with zero initial conditions: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 3 2 3 2 9 7 7 3 s Y s s Y s sY s Y s s X s s X s sX s X s + + + = + + + Solving for the transfer function, ( 29 ( 29 3 2 3 2 7 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 3 1 9 1 Y s s s s X s s s s + + + = + + + Taking the Laplace transform of ( 29 ( 29 ( 29 ( 29 ( 29 6 3 8 y t y t y t x t x t + + = + &&& && & && with zero initial conditions: ( 29 ( 29 ( 29 ( 29 ( 29 3 2 2 6 3 8 s Y s s Y s sY s s X s X s + + = + Solving for the transfer function, ( 29 ( 29 2 3 2 3 8 6 Y s s X s s s s + = + +...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online