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Bode Plot, Nyquist, Root Locus

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Bode plot, nyquist, root locus. See attached file for full problem description.

A) By drawing the Bode (with reasonable accuracy at frequencies of interest) and then using a rough sketch of the (full) Nyquist diagram, assess the stability of the following system in a unity gain, negative feedback configuration.

b) What would your conclusion in a (Q4a) have been if the feedback loop has positive instead of negative feedback?

c) Without any calculations, make a rough sketch of the root locus of (see attachment) for positive and negative gain to explain the answer in b and c (You do not need to calculate angels of departure, breakaway points etc. but your sketch must make sense.)

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