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PID - Ziegler-Nichols Ultimate Tuning

Contents

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Classical Ziegler-Nichols PID gains from ultimate gain K_u and ultimate period T_u - an on-line tuning recipe for level, pressure and flow loops.

Formula

$$ K_p = 0.6 K_u,\ T_i = 0.5 T_u,\ T_d = 0.125 T_u $$

Symbol legend

SymbolMeaningUnitSource
$K_u$Ultimate (critical) gain-P-only closed loop
$T_u$Ultimate period of oscillationsP-only closed loop

Sources

  • Ziegler & Nichols - ASME 1942.