1. [Reading to cover course] Read Dorf chapter 8.6-8.10 and chapter 9.1-9.3.

2. [relationship between performance indices] Dorf P8.8, but give the answers for (b) and (c) in terms of the natural frequency w_n. (Hint for part (a): first compute the damping ratio z) (Hint for part (c): use Figure 8.26 in Dorf)

3. [deducing performance from a Bode plot] Dorf P8.24

4. [clear example of the distinction between open loop and closed loop frequency responses; design for limited overshoot and maximum bandwidth] Dorf DP8.1. Use Matlab for the Bode plots.

5.  [Sketching Nyquist plots] You need not make any quantitative calculations for this question; just the shape of the Nyquist curve is enough. Be sure that you get the asymptotic phases for w tends to 0 and w tends to infinity correct. If you are stumped, first sketch the Bode plot for yourself. If you are still stumped, look up the answer in Table 9.6 Dorf.
(a)  Sketch the Nyquist plot of [1/( (st₁+1)(st₂+1)(st₃+1))]

(b)  Sketch the Nyquist plot of [1/( s(st₁+1)(st₂+1))]

(c)  Sketch the Nyquist plot of [1/( s²(st₁+1))]

6.  [Stability using Nyquist] Dorf E9.24

7.  [A wilder example of Nyquist] Dorf P9.4