steadystateerror10 - Steady State Error QUESTION 10 For the...

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

View Full Document Right Arrow Icon
Steady State Error Q UESTION 10 For the system shown in Figure 10 with ( 29 ( 29 ( 29 ( 29 ( 29 2 5 1 5 3 8 12 s s F s s s s s + + = + + + , calculate e (∞) for the following inputs: r ( t ) = 11, r ( t ) = 4 t , and r ( t ) = 2 t 2 . + - R(s) F(s) Y(s) E(s) Figure 10 The closed–loop transfer function is ( 29 ( 29 ( 29 ( 29 ( 29 2 4 3 2 5 6 5 1 11 41 66 25 s s Y s F s R s F s s s s s + + = = + + + + + . From the Routh Table below, it can be seen that the closed–loop system is stable and, therefore, the steady–state error can be calculated. 4 3 2 1 0 1 41 25 11 66 0 35 25 0 58.14 0 0 25 0 0 s s s s s ( 29 ( 29 ( 29 1 1 E s R s F s = +
Image of page 1

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

View Full Document Right Arrow Icon
Steady State Error ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 0 0 2 3 8 12 1 lim lim 5 1 5 3 8 12 5 1 5 1 3 8 12 s s s s s s e s R s s R s s s s s s s s s s s s s + + + ∞ = = + + + + + + + + + + + + For r ( t ) = 11, ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 0 3 8
Image of page 2
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