blockdiagram6 - 4 3 2 4 3 2 4 3 2 5 8 11 25 8 11 25 8 40 11...

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Block Diagrams Q UESTION 6 For the block diagram shown in Figure 6.1, determine the transfer functions ( 29 ( 29 Y s R s and ( 29 ( 29 Y s D s as ratios of two polynomials. R(s) + - Y(s) + + D(s) 2 5 3 1 s s + + 8 8 s + 1 s Figure 6.1 Writing an equation for the output of the summing junction on the left ( 29 ( 29 ( 29 8 8 E s R s Y s s = - + (1) Writing an equation for the output ( 29 ( 29 ( 29 ( 29 2 5 3 1 Y s E s D s s s s = + + + (2) Combining equations (1) and (2) ( 29 ( 29 ( 29 ( 29 ( 29 2 2 5 8 5 1 8 3 1 3 1 Y s R s D s s s s s s s s + = + + + + + + (3) Rearranging equation (3) and expanding ( 29 ( 29 ( 29 ( 29
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Unformatted text preview: 4 3 2 4 3 2 4 3 2 5 8 11 25 8 11 25 8 40 11 25 8 40 s s s s s Y s R s D s s s s s s s s s + + + + = + + + + + + + + + (4) Therefore, the transfer functions ( 29 ( 29 Y s R s and ( 29 ( 29 Y s D s , respectively, are Block Diagrams ( 29 ( 29 ( 29 4 3 2 5 8 11 25 8 40 Y s s R s s s s s + = + + + + (5) ( 29 ( 29 4 3 2 4 3 2 11 25 8 11 25 8 40 Y s s s s s D s s s s s + + + = + + + + (6) 2...
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This note was uploaded on 02/01/2012 for the course MECH ENG 279 taught by Professor Landers during the Spring '11 term at Missouri S&T.

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blockdiagram6 - 4 3 2 4 3 2 4 3 2 5 8 11 25 8 11 25 8 40 11...

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