// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
eng.pid-controller-tuning-zn Calculator
Calculates PID gains using the Ziegler-Nichols ultimate gain and ultimate period from the process step response. The Ziegler-Nichols tuning rules give aggressive tuning — they often require detuning (reducing gains by 30–50%) for robust control without oscillation.
Inputs
Ku Ultimate Gain
Reference formula or conversion factor shown for context.
Pu Oscillation Period S
Time for one complete cycle (s). Period = 1 / frequency. A 50 Hz signal has a 20 ms period.
Controller Type
Reference formula or conversion factor shown for context.
Results
proportional gain Kp
The improvement or increase over the baseline.
integral time Ti (s)
Area under the curve between the specified limits. In physics: integral of velocity = displacement; integral of force over time = impulse.
derivative time Td (s)
The instantaneous rate of change — the slope of the tangent line at a point. In physics: derivative of position = velocity; derivative of velocity = acceleration.
Ki = Kp/Ti
Reference formula or conversion factor shown for context.
Kd = Kp×Td
Reference formula or conversion factor shown for context.