{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

blockdiagram12

# blockdiagram12 - 29 29 29 29 29 29 10 1 10 1 1 2 2 s Y s R...

This preview shows pages 1–2. Sign up to view the full content.

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)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}