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test1-soln

# test1-soln - EET309 Test 1-soln 1(a Give TWO(2 advantages...

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EET309 Test 1-soln 1 1 (a) Give TWO (2) advantages of closed loop control system compared to open loop control system. i. Can compensate for error ii. Stable [2 marks / markah ] (b) Consider a feedback system with the following open-loop transfer function shown in Figure 1. Figure 1 (i) Using Routh stability criterion, find the range of K to keep the system stable CE: s 3 +8s 2 +15s+K=0 RH Table: s 3 1 15 s 2 8 K s 1 8 120 K - 0 s 0 K 0 At s 1 row: 0 8 120 - K 120 < K At s 0 row: 0 K Range of K 0 < K < 120 [5 marks / markah ] (ii) For K is marginally stable, obtain its closed-loop transfer function. K=120 CLTF: 120 15 8 120 2 3 + + + s s s [3 marks / markah ] (iii) If K from (b)(ii) is decrease to 10%, find the new closed-loop transfer function. Comment on the system response. K R(s) ) 5 )( 3 ( 1 + + s s s C(s)

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EET309 Test 1-soln 2 ( ( 108 12 120 100 10 120 120 % 10 120 = - = - = - = K CLTF: 108 15 8 108 2 3 + + + s s s System is stable [2 marks / markah ] (iv) Using the value of K from (b)(ii), Determine the steady state error when the input R(s) is a unit ramp.
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