HW2 - Second Homework Eric Feron 1 Singularities on j axis...

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

View Full Document Right Arrow Icon
Second Homework Eric Feron Feb 11, 2004 1. Singularities on - axis and Nyquist plots. Draw a Nyquist diagram for each of the following systems, choosing the contour to be to the right of any singularities on the -axis. (a) KG ( s ) = K ( s + 10) s 2 ( s + 100) . (b) KG ( s ) = K ( s + 0 . 1) s ( s + 0 . 2) . (c) KG ( s ) = K ( s + 2)( s 2 + 20) . (d) Redo the Nyquist plots in parts (b) and (c), this time choosing the contour to be to the left of all singularities on the imaginary axis. (e) Use the Nyquist stability criterion to determine the range of K for which each system is stable, and check your answer using a root-locus plot, generated by hand of a computer. 2. Bode and Nyquist plots for unstable systems. Consider the transfer function G ( s ) = 100( s/ 100 + 1) s ( s/ 10 - 1)( s/ 1000 + 1) (a) Using Matlab, draw the Bode plot for this system (b) Sketch the Nyquist plot for G ( s ). (c) Is the corresponding closed-loop system stable? 3. Closed-loop formulas for Phase Margin. 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
(a) If a system has the open-loop transfer function
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