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A3. Determine the unit impulse response of the first order system having Transfer system 1/(1-5T). (5 marks) A4. Determine the Closed Loop Transfer function of a unity feedback system having open loop Transfer system (s2+1). (5 marks) A5. Find the Transfer function for the closed loop control system given below (5 marks) E(S) R(S) G(S) C($) BIS) H(S)

Answer 1

(A3) 1 -IT s-1/T 1-6T Transfer function TF = We have to find unit impulse response is input is unit impulse 8(t) r(t). R(s) = 1 [As impulse function has laplace transform & C(s) = TFX R (3) . I'] -11T s-l X 1 -1/T C(s) = 6-1/ Taking Inverse Laplace transform, we get e(t) = -4/ . etve [2(ees). I ha e(t)= - 1 tly l T Unit impulse response (A4) OLT 1+OLTE 1 Oyun loep transfer function (OLTF) = 8241 ... llosed loop transfer function (CLTF) = s²+1 Remember that this " CLTF= 1+ ²+1 formula is only applicable 3² + 1 for unity fudback system 3²+2 CLIF=
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