Bill Goodwine's Courses

Posted: **Mon Apr 23, 2018 2:52 pm**

Reading: Goodwine, Chapter 13, sections 2-5.

Exercises:

13.2 number 3
13.12. For this problem, start by using simulink.
- Use the first transfer function given and add each of the nonlinearities indicated in the problem separately to the system in simulink. Assume proportional control with k=1.
- If you observe a limit cycle in the solution, stop.
- If not, then continue to the second and third transfer functions.
For the case where you found a limit cycle, plot the describing function and Nyquist contour and show they intersect at the point corresponding to approximately the frequency and magnitude of oscillation. For a case where you did not observe a limit cycle, plot the Nyquist contour and describing function to show that they do not intersect.

Homework 10, due April 27, 2018