exam3 - Exam#3 EEL 3657 ‘ Wam SS Problem 1(35 points The...

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

View Full Document Right Arrow Icon
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Exam #3 EEL 3657 ‘ Wam - SS Problem 1. (35 points) The bode plot for a unity feedback s stem is shown below: Please show all work for partial credit. (100 points total) kl: J J 2 7:“: vnnv?~v~?finL--Ev‘n flJ—~V--viwv-J—-L -4~4-»A4 A~_-4--£ . a: A ... . A e 4. . .~.. . “ ... a _ . ... . . . _ . _ L a . .4: ... . L . L . . c: . . . L a a . . . . b). Find the phase crossover frequency. a). Find the gain crossover frequency. c). Find the gain margin. e). What is the system type? SOL/dim d). Find the phase margin. 0t)» ‘ Problem 2. (65 points) For the system shown in the figure, where 0(5) = __K____ Q+DQ+®w+® a). Plot the Nyquist diagram for K=1 and find the negative r al axis crossing; (30 points) b). Is the system stable for K=1? (15 points) b). Use Nyquist criterion to find the range of gain, K, for the closed-loop system to be static. (20 points) g” (M’Hm ‘ a) . The frequency response is 1/48 at an angle of zer degrees at a) = 0. Each pole ‘ ' rotates 90° in going from a) = 0 to a) = 00. Thus, the resultant rotates —2700 while its magnitude goes to zero. The result is shown belo . 1 1 'Sbt'tut' 'w't G =__———'— —_——and “SI mg] “1° (S) (s+2)(s+4)(s+6) s3+12s2+44S+48 (48—12(02)—j(44 — (03) .TheN ist w°+56w4+784w +2304 yqu simplifying, we obtain G(ja)) = ..__._... diagram crosses the real axis when the imaginary pa of G( j co) is zero. Thus, the Nyquist diagram crosses the real axis at (02 = 44, o a) = W = 6.63 rad/s. At 1 Ragga; 700(0) = —m. i). 2mm: 0 .«> gym we C), K:::ZJ:{_8: :qgoV 7; ‘r $va #4485, ...
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