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PID - Ziegler-Nichols Ultimate Tuning

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.

PIDZiegler-NicholsTuning
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Formula, assumptions, and limits

Kp=0.6Ku, Ti=0.5Tu, Td=0.125TuK_p = 0.6 K_u,\ T_i = 0.5 T_u,\ T_d = 0.125 T_u
SymbolMeaningUnit
KuK_uUltimate (critical) gain
TuT_uUltimate period of oscillations

Source: Ziegler & Nichols - ASME 1942

In short

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.

Learn the theory Marine Electrical Generation and Distribution