1. Watch video ?EE495 ? Week 6 ? Lecture?
  2. Read Chapter 9 in the text Modern Control Systems, 12th Edition.
  3. Work the following problems:
    1. Sketch the Nyquist plots of the following loop transfer functions and determine whether the system is stable by applying the Nyquist criterion:
        • L(s) = Gc(s)G(s) = K/(s(s2 + s + 6)
        • L(s) = Gc(s)G(s) = K(s + 1) / (s2(s + 6))

      If they system is stable, find the maximum value for K by determining the point where the Nyquist plot crosses the u-axis.

    2. A closed-loop system with unity feedback has a loop transfer function L(s) = Gc(s)G(s) = K(s +20) / s2
      • Determine the gain K so that the phase margin is 45 degrees.
      • For the gain K selected in part (a), determine the gain margin.
      • Predict the bandwidth of the closed-loop system.
  4. Save work in a file with the title: ?HW6_StudentID?, with your student id substituted in the file name.  Show all work for full credit.
  5. Upload file ?HW6_StudentID?

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  1. Watch video ?EE495 ? Week 6 ? Lecture?
  2. Read Chapter 9 in the text Modern Control Systems, 12th Edition.
  3. Work the following problems:
    1. Sketch the Nyquist plots of the following loop transfer functions and determine whether the system is stable by applying the Nyquist criterion:
        • L(s) = Gc(s)G(s) = K/(s(s2 + s + 6)
        • L(s) = Gc(s)G(s) = K(s + 1) / (s2(s + 6))

      If they system is stable, find the maximum value for K by determining the point where the Nyquist plot crosses the u-axis.

    2. A closed-loop system with unity feedback has a loop transfer function L(s) = Gc(s)G(s) = K(s +20) / s2
      • Determine the gain K so that the phase margin is 45 degrees.
      • For the gain K selected in part (a), determine the gain margin.
      • Predict the bandwidth of the closed-loop system.
  4. Save work in a file with the title: ?HW6_StudentID?, with your student id substituted in the file name.  Show all work for full credit.
  5. Upload file ?HW6_StudentID?

Leave a Reply

Your email address will not be published. Required fields are marked *