blockdiagram5 - Block Diagrams QUESTION 5 For the block...

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Block Diagrams Q UESTION 5 For the block diagram shown in Figure 5.1, determine the transfer function ( 29 ( 29 Y s R s , damping ratio, natural frequency, damped natural frequency, percent overshoot, 2% settling time, and peak time. 10 20 s 0.2 s 10 1 12 s + + - - R(s) Y(s) + + Figure 5.1 Denoting the output of the left summing junction by E 1 ( s ) ( 29 ( 29 ( 29 1 E s R s Y s = - (1) Denoting the output of the right summing junction by E 2 ( s ) ( 29 ( 29 ( 29 ( 29 2 1 1 10 10 0.2 E s E s E s sC s = + - (2) Writing an equation for the output ( 29 ( 29 ( 29 2 20 12 Y s E s s s = + (3) Combining equations (1) and (2) ( 29 ( 29 ( 29 ( 29 2 20 0.2 E s R s Y s sY s = - - (4) Combining equations (3) and (4) ( 29 ( 29 ( 29 [ ] ( 29 20 20 0.2 20 12 Y s R s s Y s s s = - + + (5)
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Block Diagrams Rearranging equation (5) to find the closed–loop transfer function
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blockdiagram5 - Block Diagrams QUESTION 5 For the block...

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