PID Tuner

Gain selection and closed-loop response for a PID controller.

🎛️ PID Controller TunerTune PID controllers using Ziegler-Nichols, Cohen-Coon, IMC, and other methods with live simulation
Process ModelProcess Type
Process Gain (K) 
Time Constant (τ) (s)
Dead Time (θ) (s)
Controller SetupController Type
Tuning Method
Kp (Proportional) 
Ki (Integral) (1/s)
Kd (Derivative) (s)
SimulationSetpoint 
Disturbance (at t/2) 
Simulation Time (s)
Output Max 
Output Min 
Controller ParametersKp
1.000
Ki
0.2001/s
Kd
0.100s
Ti (= Kp/Ki)
5.000s
Td (= Kd/Kp)
0.100s
θ/τ ratio
0.200
Performance MetricsRise Time (10-90%)
0.600s
Settling Time (2%)
28.900s
Overshoot
472.894%
Steady-State Error
-4.385
Peak Output
5.729
IAE
78.598
ISE
284.021
Step ResponseSetpoint step at t=1s, disturbance at t=15s
Control SignalController output (clamped to [-10, 10])
Tuning Method Comparison• Ziegler-Nichols: Aggressive tuning, ~25% overshoot. Good for fast response.
• Cohen-Coon: Better for processes with large dead time (θ/τ > 0.3).
• IMC (Lambda): Conservative, minimal overshoot. Adjustable λ trades speed for robustness.
• Tyreus-Luyben: Very conservative, good for oscillation-sensitive processes.
• Rule of Thumb: For θ/τ < 0.1 use IMC, for 0.1-0.5 use Z-N or Cohen-Coon, for > 0.5 use Cohen-Coon or model predictive.

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🎛️ PID Controller TunerTune PID controllers using Ziegler-Nichols, Cohen-Coon, IMC, and other methods with live simulation
Process ModelProcess Type
Process Gain (K) 
Time Constant (τ) (s)
Dead Time (θ) (s)
Controller SetupController Type
Tuning Method
Kp (Proportional) 
Ki (Integral) (1/s)
Kd (Derivative) (s)
SimulationSetpoint 
Disturbance (at t/2) 
Simulation Time (s)
Output Max 
Output Min 
Controller ParametersKp
1.000
Ki
0.2001/s
Kd
0.100s
Ti (= Kp/Ki)
5.000s
Td (= Kd/Kp)
0.100s
θ/τ ratio
0.200
Performance MetricsRise Time (10-90%)
0.600s
Settling Time (2%)
28.900s
Overshoot
472.894%
Steady-State Error
-4.385
Peak Output
5.729
IAE
78.598
ISE
284.021
Step ResponseSetpoint step at t=1s, disturbance at t=15s
Control SignalController output (clamped to [-10, 10])
Tuning Method Comparison• Ziegler-Nichols: Aggressive tuning, ~25% overshoot. Good for fast response.
• Cohen-Coon: Better for processes with large dead time (θ/τ > 0.3).
• IMC (Lambda): Conservative, minimal overshoot. Adjustable λ trades speed for robustness.
• Tyreus-Luyben: Very conservative, good for oscillation-sensitive processes.
• Rule of Thumb: For θ/τ < 0.1 use IMC, for 0.1-0.5 use Z-N or Cohen-Coon, for > 0.5 use Cohen-Coon or model predictive.