{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

stability7 - 29 3 2 2 1 s s K s K The Routh table is 3 2 1...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Stability Q UESTION 7 For the system shown in Figure 7 with ( 29 1 K G s s = and ( 29 2 2 1 2 1 s G s s s - = + + , create the Routh table and determine for what range of K the closed–loop system is stable. G 1 (s) + - G 2 (s) R(s) E(s) Y(s) Figure 7 The closed–loop transfer function is ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 1 3 2 1 2 2 1 1 2 1 K s s G s T s G s G s s s K s K + + = = + + + + - . The closed–loop characteristic polynomial is
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( 29 3 2 2 1 s s K s K + + +-. The Routh table is 3 2 1 1 1 2 3 2 2 s K s K K s s K +-+-. There will only be a sign change in the first column if K < –2/3 or K > 0. Therefore, the closed– loop system will be stable for 2 3 K-< < ....
View Full 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