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Problem 2: Consider a feed back loop with a P-only controller Gc=Kc and a FOPDT process...

Problem 2: Consider a feed back loop with a P-only controller Gc=Kc and a FOPDT process Gp=2e^-s/3s+1 , assuming that dynamics of all sensors and control valves are negligible , i.e., Gv=1 and Gm=1.

(a) Determine the ultimate gain Kcu of the feed back loop using the Bode Statbility criterion.

(b) Determine the gain margin at Kc=2

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