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PID Tuning Tools · Free Tool

PID Loop Simulator

Try PID settings on a simulated process before touching the plant. The simulator models a first order plus dead time process and plots the PV, setpoint and controller output for a setpoint step.

FOPDT processLive plotOvershoot and settlingTuning practice

Process model

%/%
min
min

Controller (ideal PID)

min
min
%
min
━ PV   ┅ Setpoint   ━ Controller output (scaled)
Overshootn/a
Rise time (to 90 %)n/a
Settling time (±2 %)n/a
Final errorn/a
IAEn/a
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How the Simulator Works

The process is a first order plus dead time model, which describes most temperature, flow, pressure and composition loops well enough for tuning:

G(s) = K e−θs ÷ (τs + 1)
u = Kc [e + (1/Ti)∫e dt − Td dPV/dt]

The controller uses the ideal (ISA) form with derivative on the measurement and a small derivative filter, as most DCS and PLC controllers do. Time units are minutes throughout.

Tuning exercise

Start with the default lambda tuning (Kc = 0.8, Ti = τ = 4 min). Then try Kc = 2.4 and Ti = 1 to see how the aggressive Ziegler–Nichols style settings overshoot and oscillate on the same process.

Key insight: dead time, not the time constant, limits how fast a loop can be. If θ is large compared with τ, no amount of gain will make the loop fast without oscillation.
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Frequently Asked Questions

What does a PID simulator show?

How the process variable and controller output respond to a setpoint change for given process dynamics and PID settings, so you can compare tunings safely.

Why does too much integral action cause oscillation?

Integral keeps pushing the output while error exists; with dead time, it overshoots before the process responds, creating oscillation.

How close is the simulator to a real plant?

It captures the main dynamics of many loops. Real plants add valve stiction, noise, nonlinearity and interactions, so use it for starting values, not final tuning.

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