The transfer function for a PID controller is (where, η i is the integral (reset) time and ηD is the derivative time.) ?

Correct answer: B. Kc[1 + (1/ηis) + ηD . s)

  • A. Kc(1 + ηis + ηD ). s
  • B. Kc[1 + (1/ηis) + ηD . s)
  • C. Kc(1 + ηis + (1/ηD . s)
  • D. None of these

Explanation

The ideal PID controller is written as Kc[1 + 1/(ηi s) + ηD s], combining proportional, integral, and derivative actions. The integral term decreases with s, whereas the derivative term increases with s.

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