Question: Suppose the plant transfer function is P(s) = (s+1)(s+2) (a) Draw and label a Nyquist plot for K = 1. Show all your work.

Suppose the plant transfer function is P(s) = (s+1)(s+2) (a) Draw and

Suppose the plant transfer function is P(s) = (s+1)(s+2) (a) Draw and label a Nyquist plot for K = 1. Show all your work. [10 marks] (b) Using your answer to part (a), draw and label a Nyquist plot for K = -1. [2 marks] (c) Based on your answers to parts (a) and (b), use the Nyquist Stability Test to determine all values of K (if any) for which the closed-loop system is stable. [1 mark] (d) Check your answer to part (c) using the Routh-Hurwitz Stability Test. [2 marks]

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