1. Consider Figures 3.3 and 3.4 in CCS. Determine how the Nyquist and Bode plots are changed with the sampling period. Hint: The Matlab macros for all simulations in CCS are available.
  2. Consider Problem 7.7. Where is the folded frequence when it looks as if the wheel is rotating backwards?
  3. Consider Example 3.6 and Figure 3.9. Pick three different locations of the eigenvalues of the Phi-matrix and determine how the trajectories are changing. Hint: Which are the interesting parts of the stability triangle in Figure 3.2?