{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

frequencyresponse2 - Frequency Response QUESTION 2 For the...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Frequency Response Q UESTION 2 For the closed–loop system shown in Figure 2.1 with ( 29 ( 29 ( 29 ( 29 ( 29 2 1 2 0.5 0.04 0.04 s s G s s s s + + = + - + , complete the following: a. Sketch the Bode magnitude and phase plots by hand. Sketch the plots for each term and then sketch the total plots. Graph the Bode magnitude and phase plots using Matlab. b. Compute the gain margin and the frequency at which it occurs. Determine the equations required to solve for the phase margin and the frequency at which it occurs. c. Using the Bode plots sketched in part (a), estimate the gain and phase margins and the frequencies at which these occur. G(s) K U(s) R(s) + - Y(s) E(s) Figure 2.1 ( 29 1 s + term The magnitude is M = 20log 10 (1) = 0 dB for 0 < ω ≤ 1 rad/s. The magnitude is M = 0 + 20 dB/dec for ω > 1 rad/s. The phase is φ = 0° for ω < 0.1 rad/s. The phase is 0° < φ < 90° at a slope of 45°/dec for 0.1 ≤ ω ≤ 10 rad/s. The phase is φ = 90° for ω > 10 rad/s. ( 29 2 s + term The magnitude is M = 20log 10 (2) = 6.021 dB for 0 < ω ≤ 2 rad/s.
Image of page 1

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

View Full Document Right Arrow Icon
Frequency Response The magnitude is M = 6.021 + 20 dB/dec for ω > 2 rad/s.
Image of page 2
Image of page 3
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