This figure shows the block diagram representation of a compensator U(s)/E(s). E(S) U(s) Ko K Tis 1+ 7₂s Prove that this block diagram can be reduced into a PID controller with the three gains for the proportional, derivative, and integrator components. Derive these con- stants, i.e., derive Kp, T₁, Ta in terms of Ko, T₁, T₂, K, by obtaining the CLTF for the above system. Your answer should look like: GrID(S) = Kp (1+7+ Tas).

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This figure shows the block diagram representation of a compensator U(s)/E(s).
E(S)
U(s)
K
Ko
TIS
1 + 7₁s
1+T₂s
Prove that this block diagram can be reduced into a PID controller with the three
gains for the proportional, derivative, and integrator components. Derive these con-
stants, i.e., derive Kp. Ti, Ta in terms of Ko, T₁, T2, K, by obtaining the CLTF for the
above system. Your answer should look like:
GPID (5) = Kp (1 +7 +Tas).
Transcribed Image Text:This figure shows the block diagram representation of a compensator U(s)/E(s). E(S) U(s) K Ko TIS 1 + 7₁s 1+T₂s Prove that this block diagram can be reduced into a PID controller with the three gains for the proportional, derivative, and integrator components. Derive these con- stants, i.e., derive Kp. Ti, Ta in terms of Ko, T₁, T2, K, by obtaining the CLTF for the above system. Your answer should look like: GPID (5) = Kp (1 +7 +Tas).
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