l22 - 16.06 Lecture 22 Root Locus Examples Karen Willcox...

Info icon This preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
16.06 Lecture 22 Root Locus Examples Karen Willcox October 27, 2003 Today’s Topics 1. Angles of departure 2. Negative gain 3. K crit 4. Root locus examples Reading : 6.4 1
Image of page 1

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

View Full Document Right Arrow Icon
1 Rule 10 (Continued from L21.) Angles of departure from open-loop poles and angles of arrival at open- loop zeroes are important because aero/astro toys can have complex con- jugate poles and zeroes near the axis. We determine these angles by applying the angle condition to a trial point very close to the pole or zero. Example 1: Example 2: 2
Image of page 2
2 Negative gain 2.1 First-order system C.E. is: 2.2 Second-order system C.E. is: Roots: s 1 and s 2 are 3
Image of page 3

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

View Full Document Right Arrow Icon
2.3 Third-order system C.E. is: 2.4 General K < 0 case Note that for negative gains, the angles must sum to The entire real axis is 4
Image of page 4
3 K crit At what critical value of K in the third-order case are the
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

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

View Full Document Right Arrow Icon
Image of page 8
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