blockdiagram7 - Block Diagrams QUESTION 7 For the block...

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Block Diagrams Q UESTION 7 For the block diagram shown in Figure 7.1, determine the transfer functions ( 29 ( 29 Y s R s , ( 29 ( 29 1 E s R s , and ( 29 ( 29 2 E s R s . G 1 (s) G 3 (s) G 2 (s) H(s) G 4 (s) Y(s) R(s) + - + - + + E 1 (s) E 2 (s) Figure 7.1 The block diagram with all of the signals labeled is given in Figure 7.2. Writing an equation for the first summing junction 1 E R HY = - (1) Writing an equation for the second summing junction 2 1 1 4 E G E G Y = - (2) Writing an equation for the output 2 2 3 1 Y G E G E = + (3) Combining equations (1) and (2) [ ] 2 1 4 E G R HY G Y = - - (4)
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Block Diagrams Combining equations (1), (3), and (4) [ ] [ ] 2 1 4 3 Y G G R HY G Y G R HY = - - + - (5) Rearranging equation (5)
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blockdiagram7 - Block Diagrams QUESTION 7 For the block...

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