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.

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.