Stability- ExerciseConsider the open loop transfer function :G(s) = (K)/((s 5)(s 20)(s 50))a. Draw the Bode diagram (log-magnitude and phase plots) (assume K=1)b. Find the range of K for stability from the Bode plots.c. Evaluate gain margin, phase margin, zero dB frequency (gain crossover frequency), and 180° frequency from theBode plot for K =10000.Answer for b) K= 96,270 (gives marginally stable), ? K< 96,270 for a stable system
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