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A process with open-loop model $G(s)=\frac{k e^{-s \mathrm{~T}_{4}}}{t s+1}$ is controlled by a $\text{PID}$ controller.
For this process

  1. the integral mode improves transient performance
  2. the integral mode improves steady-state performance
  3. the derivative mode improves transient performance
  4. the derivative mode improves steady-state performance.
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