blockdiagram1 - Block Diagrams QUESTION 1 For the block...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Block Diagrams Q UESTION 1 For the block diagram shown in Figure 1.1, 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 , and ( 29 ( 29 4 E s R s . G 6 (s) G 2 (s) G 1 (s) G 5 (s) G 3 (s) G 4 (s) G 7 (s) R(s) Y(s) E 1 (s) E 2 (s) E 3 (s) E 4 (s) + + + + + - - + + - Figure 1.1 The block diagram with all of the signals labeled is given in Figure 1.2. Writing an equation for the first summing junction 1 1 2 7 E R G E G Y = - - (1) Writing an equation for the second summing junction ( 29 2 2 1 3 1 2 3 1 E G E G E G G E = + = + (2) Writing an equation for the third summing junction 3 5 2 4 E G E Y E = - + (3) Writing an equation for the fourth summing junction
Image of page 1

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

View Full Document Right Arrow Icon
Block Diagrams ( 29 4 3 1 4 1 3 4 1 E G E G E G G E = + = + (4) Writing an equation for the output 6 3 Y G E = (5) Combining equations (3) and (5) 5 6 2 6 6 4 Y G G E G Y G E = - + (6) Combining equations (2) and (6) and rearranging ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 6 1 6 5 6 2 3 1 6 3 4 1 6 5 2 3 3 4 1 1 G E G Y G G G G E G G G E Y G G G G G G + + = + + + = + + + (7) Combining equations (1) and (2) and rearranging ( 29 ( 29 1 1 2 3 1 7 1 2 3 1 7 1 E R G G G E G Y G G G E R G Y = - + - + + = - (8) Combining equations (7) and (8) and rearranging ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 6 5 2 3 3 4 6 1 2 3 6 7 5 2 3 3 4 1 1 G G G G G G Y R G G G G G G G G G G G + + + = + + + + + + + (9) Combining equations (7) and (9) and rearranging ( 29 ( 29 ( 29 ( 29 6 1 6 1 2 3 6 7 5 2 3 3 4 1 1 1 G E R G G G G G G G G G G G + = + + + + + + +
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern