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A first-order process having a transfer function, $G_{p}=\frac{2}{7s+1}$ is controlled by a proportional controller with gain of $3.2$. The process time constant is in minutes. Addition of the integral control action with an integral time constant of $5$ minutes leads to increase in

  1. offset
  2. speed of response
  3. order of the closed loop system
  4. proportional band
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