Question: We are given an open loop system as: G = tf([1, A], poly([-5+1j*12, -5+1j*12])) A negative feedback block with gain K will be applied to

We are given an open loop system as:

G = tf([1, A], poly([-5+1j*12, -5+1j*12]))

A negative feedback block with gain K will be applied to this open loop system, yielding to a closed-loop system.

Then:

a)For A=0, A= 84.5 and A = 169, plot "root locus" analysis results.

b)Compare the plots.

c)For A= 169, determine the K (Gain) value for which the closed-loop system has a damping ratio of 0.85.

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