Which of following error integral is considered as the best criterion in controller settings ?

Correct answer: C. ∫0 ∞ e2 dt

  • A. ∫0 ∞ |e| dt
  • B. ∫0 ∞ |e2| dt
  • C. ∫0 ∞ e2 dt
  • D. None of these

Explanation

The integral of squared error, ISE, heavily penalises large errors and is a widely used criterion for controller tuning. It is written as ∫₀∞ e² dt, whereas the absolute-error criterion uses ∫₀∞ |e| dt.

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