Controls & Robotics

PID & Servo Control Simulators

A focused Controls & Robotics hub for pid & servo control tools, keeping related formulas, assumptions, and engineering checks together.

6 simulators

Adjacent categories

Electromagnetics & Circuits Vibration & Dynamics AI & Computer Science Mechanical Engineering

Simulator list

Anti-Windup PI Controller Simulator
PID & Servo Control
Compare standard PI, back-calculation anti-windup PI, and ideal PI responses on a 1st-order plant with input saturation. See how integral reset prevents overshoot caused…
Cascade Control Simulator — Dual-Loop PID Step Response
PID & Servo Control
Inner loop $G_i(s) = \\frac{K_i}{\\tau_i s+1}$ nested inside an outer loop — see how dual-loop PID outperforms single-loop in rise time, overshoot, and settling time.
Digital PID Discretization Simulator
PID & Servo Control
Digital PID Discretization Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
PID Controller Simulator
PID & Servo Control
Tune PID controller parameters (Kp, Ti, Td) in real time. Compare P, PI, and PID control to master step response and closed-loop system tuning.
PID Tuning Method Comparison (Z-N / IMC / SIMC)
PID & Servo Control
Set FOPDT process parameters (Kp, τ, θ) and compare four PID tuning methods simultaneously: Ziegler-Nichols, Cohen-Coon, IMC, and SIMC. Real-time step response, integral…
Servo Mechanism Calculator
PID & Servo Control
Calculate servo system performance: bandwidth, phase margin, Bode plots, settling time, and PID tuning for optimal 45° stability.

How to Use

  1. Select servo motor type (brushed DC, brushless AC, or stepper) and input rated torque (Nm), inertia (kg·m²), and back-EMF constant (V·s/rad)
  2. Define PID gains: proportional (Kp), integral (Ki), and derivative (Kd) coefficients; start with Kp=1.0, Ki=0.1, Kd=0.05 for typical positioning
  3. Set target position (degrees), load disturbance magnitude (%), and simulation time (seconds); run closed-loop response analysis to observe settling time and overshoot

Worked Example

NEMA23 stepper motor (torque=2.8 Nm, inertia=0.0012 kg·m²) with PID tuning Kp=2.5, Ki=0.3, Kd=0.08. Target: 360° rotation in 2 seconds with 5% load friction disturbance. Simulation yields settling time 1.85s, overshoot 3.2%, steady-state error 0.02°. Increasing Kd to 0.12 reduces overshoot to 1.1% but extends settling to 2.1s.

Practical Notes

  1. Ziegler-Nichols tuning: set Ki=Kd=0, increase Kp until oscillation occurs at critical gain Kc; then apply Kp=0.6·Kc, Ki=1.2·Kc/period, Kd=0.075·Kc·period
  2. Servo lag increases with cable inductance (>10 mH) and mechanical backlash (>0.5°); validate anti-windup limits (Ki integral clamp ±5–10% of max command)
  3. Real hardware: enable velocity feedforward term (Kv=torque/speed) for faster tracking on industrial multi-axis robotic arms; monitor CPU loop rate ≥1 kHz