modeling2 - 4 6 8 3 5 1 Y s s s s X s s s s + + + = + + +...

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

View Full Document Right Arrow Icon
Modeling Q UESTION 2 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 3 5 4 6 8 y t y t y t y t x t x t x t x t + + + = + + + b. ( 29 ( 29 ( 29 ( 29 ( 29 4 7 5 y t y t y t x t x t + + = + Taking the Laplace transform of ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 3 5 4 6 8 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 3 5 4 6 8 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
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 4 6 8 3 5 1 Y s s s s X s s s s + + + = + + + Taking the Laplace transform of ( 29 ( 29 ( 29 ( 29 ( 29 4 7 5 y t y t y t x t x t + + = + &&& & && & with zero initial conditions: ( 29 ( 29 ( 29 ( 29 ( 29 3 2 4 7 5 s Y s sY s Y s s X s sX s + + = + Solving for the transfer function, ( 29 ( 29 2 3 5 4 7 Y s s s X s s s + = + +...
View Full Document

Ask a homework question - tutors are online