Control ENG HW_Part_48

Control ENG HW_Part_48 - controller if K C = 2 and I = 0.5...

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the pen point at a rate of 0.5 in/min. the motion of the set point is in the direction of lower readings. If the knob settings are K C = 2 psig/in of pen travel τ I = 1.25 min τ D = 0.4 min plot output pressure Vs time Soln: Given de/dt = -0.5 in/min s e(s) = -0.5 Y(s)/e(s) = K C ( 1 + τ D s+ 1/ τ I s) Y(s) = -( 1/s + 1/ τ I s 2 + τ D ) Y(t) = -( 1 + t/1.25 + 0.4 δ(t) ) Y(t) = y(t) – 9 = - ( 1 + t/1.25 + 0.4 δ(t) ) y(t) = 8 – 0.8 t – 0.4 δ(t) Q – 10.5. The input (e) to a PI controller is shown in the fig. Plot the output of the
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Unformatted text preview: controller if K C = 2 and I = 0.5 min 9 8 7.6 10 y(t) t e(t) = 0.5 ( u(t) - u(t-1) - u(t-2) + u(t-3) ) e(s) = (0.5/s) ( 1 e-s - e-2s + e-3s ) P(s)/e(s) = K C ( 1 + (1 / I s) ) = 2 ( 1+ 2/s ) P(s) = ( 1/s + 2/s 2 ) (1 e-s - e-2s + e-3s ) P(t) = 1 + 2t 0 t < 1 = 2 1 t < 2 = 5 2t 2 t < 3 = 0 3 t < Q 12.1. Determine the transfer function Y(s)/X(s) for the block diagrams shown. Wxpress the results in terms of Ga, Gb and Gc 0 1 2 3 4 t, min 0.5 e -0.5...
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Control ENG HW_Part_48 - controller if K C = 2 and I = 0.5...

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