blockdiagram8 - Block Diagrams QUESTION 8 For the block...

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Block Diagrams Q UESTION 8 For the block diagram shown in Figure 8.1, determine the transfer functions ( 29 ( 29 Y s R s , ( 29 ( 29 1 E s R s , ( 29 ( 29 2 E s R s , ( 29 ( 29 3 E s R s , ( 29 ( 29 4 E s R s , and ( 29 ( 29 5 E s R s . G 1 (s) R(s) + - E 1 (s) + + + + + + + - E 2 (s) E 3 (s) E 4 (s) E 5 (s) Y(s) G 2 (s) G 4 (s) G 5 (s) G 3 (s) G 8 (s) G 7 (s) G 6 (s) Figure 8.1 The block diagram with all of the signals labeled is given in Figure 8.2. Writing an equation for the first summing junction 1 2 E R E = - (1) Writing an equation for the second summing junction 2 2 3 5 5 E G E G E = + (2) Writing an equation for the third summing junction 3 1 1 8 E G E G Y = + (3) Writing an equation for the fourth summing junction
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Block Diagrams [ ] 4 3 3 4 3 3 4 3 E G E G E G G E = + = + (4) Writing an equation for the fifth summing junction 5 4 6 E E G Y = - (5) Writing an equation for the output 7 5 Y G E = (6) Combining equations (3) and (4) [ ] [ ] 4 1 3 4 1 8 3 4 E G G G E G G G Y = + + + (7)
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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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blockdiagram8 - Block Diagrams QUESTION 8 For the block...

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