blockdiagram12

# blockdiagram12 - ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 10 1 10 1 1...

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Block Diagrams Q UESTION 12 For the block diagram shown in Figure 12.1, 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) 10 2 s + 1 s + 1 s Figure 12.1 Writing an equation for the output of the summing junction on the left (denote the output E ) ( 29 ( 29 ( 29 ( 29 1 E s R s s Y s = - + (1) Writing an equation for the output of the summing junction on the right (denote the output E 1 ) ( 29 ( 29 ( 29 1 10 2 E s E s D s s = + + (2) Writing an equation for the output ( 29 ( 29 1 1 Y s E s s = (3) Combining equations (1)–(3)

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Unformatted text preview: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 10 1 10 1 1 2 2 s Y s R s D s s s s s s + + = + + + (4) Rearranging equation (4) and expanding Block Diagrams ( 29 ( 29 ( 29 2 2 10 2 12 10 12 10 s Y s R s D s s s s s + = + + + + + (5) Therefore, the transfer functions ( 29 ( 29 Y s R s and ( 29 ( 29 Y s D s , respectively, are ( 29 ( 29 2 10 12 10 Y s R s s s = + + (6) ( 29 ( 29 2 2 12 10 Y s s D s s s + = + + (7) 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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blockdiagram12 - ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 10 1 10 1 1...

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