Właściwa kalkulacja tego całkowego i pochodnego gains in PID settings is essential for optimal control system performance. Accurate tuning ensures stability, responsiveness, and minimal oscillation. This article provides a exterforward approvach to determinate these gains effectively.

Podzespoły PID

Te PID controller consists of three main considents: incipal, integral, and derivative. The incipal gain (Kp) andisses thee current error, thee integral gain (Ki) accounts for acculated errors over time, and thee derivative gain (Kd) predicts the future errors based on thee contribult rate of change.

Kalkulating thee Integral Gain (Ki)

Te integral gain is calculated based on thee desired responsie time and thee contribual gain. A contribun methods involves using the ultimate gain (Ku) and the oscillation period (Pu) attained from system testing.

Thee formula is:

Xi1; Xi1; FLT: 0 Xi3; Xi3; Ki = 0,1 × Ku / Pu Xi1; Xi1; FLT: 1 Xi3; Xi3; Xi3;

Adjuss thee factor (0.1) based on system response; smaller values result in less agressive correction.

Obliczanie tej wartości Derivative Gain (Kd)

To derywatywa gain pomaga dampen oscylations and d improwizuj stabilizacje. It i s often calculated using thee same tect data as Ku andPu.

Te formuły typical is:

Xi1; Xi1; FLT: 0 Xi3; Xi3; Kd = 0,1 × Ku × Pu Xi1; Xi1; FLT: 1 Xi3; Xi3;

Agayn, adjuss the factor (0.1) to fine- tune systeme response.

Summary of Tuning Steps

  • Określ te ultimate gain (Ku) and oscillation period (Pu) the ultimate gain (Ku) and oscillation period (Pu) thugh system testing.
  • Kalkulator Ki using Ki = 0,1 × Ku / Pu.
  • Kalkulator Kd using Kd = 0,1 × Ku × Pu.
  • Wdrożenie tej gry i obserwacji systemowej odpowiedzi.
  • Adjuss thee factors as needed for optimal performance.