Controls and Robotics Simulators

Two-degree-of-freedom control design with independent PI feedback and reference pre-filter tuning. Reduce overshoot while maintaining disturbance rejection.

Watch MRAC adapt live: plant output chasing the reference model, tracking error shrinking, and adaptive gains converging. Reference-model time constant, plant time constant, adaptation gain γ, and disturbance.

Anti-Lock Braking System (ABS) Slip Ratio Simulator: See how an Anti-lock Braking System keeps wheels rolling at the optimal slip ratio instead of locking up…

Anti-windup PI controller simulator for integral reset tuning. Compare PI, back-calculation, and ideal responses with input saturation handling and overshoot prevention.

A tool for sizing the Reaction Control System (RCS) thrusters and propellant budget of a satellite or spacecraft.

Bang-Bang Control Simulator — Time-Optimal Control: A tool that visualizes bang-bang control, which drives the double integrator ẍ = u to the origin in minim…

Inspect lead-lag compensator gain, phase contribution, and margin from gain, zero, pole, and crossover frequency on Bode plots.

Real-time Bode plot generator for transfer functions. Automatically calculates gain margin, phase margin, and crossover frequencies for stability analysis.

Interactive cascade (dual-loop) PID control simulator. Compare two-loop cascade versus single-loop PID step response with real-time rise time, overshoot, and settling time metrics.

Bode Plot transfer function analyzer for real-time gain and phase visualization. Explore stability margins and control system design parameters interactively.

Control System Step Response Simulator: Adjust the natural angular frequency ωn and damping ratio ζ with sliders to visualize the step response of a second-o…

Describing Function Simulator: Replace relay, saturation and dead-zone nonlinearities with an amplitude-dependent equivalent gain N(A), then predict the ampl…

Inspect digital PID response, sampling delay, and derivative noise gain from continuous gains, sample time, and derivative filtering.

Disturbance observer simulator comparing DOB+PI vs PI control. Model input disturbances, Q-filter effects, and robustness to parameter mismatch in closed-loop systems.

Free quadrotor drone thrust allocation calculator: solve the 4x4 control allocation matrix for X / + / H / hexa frames and find each motor's required thrust, RPM and saturation margin from mass, arm length, roll, pitch and yaw rate inputs.

The feedforward compensation simulator compares PI-only and PI plus feedforward control under a step disturbance, with peak deviation and settling time in real time.

Gain Scheduling Control Simulator: Control a nonlinear plant whose gain changes with the operating point. Switch between fixed-gain and scheduled control and…

H-Infinity control simulator for mixed sensitivity design. Visualize S, T, and weighted sensitivity peaks. Optimize disturbance rejection and noise trade-offs with PI controllers.

Haptic Feedback Device Bandwidth & Z-Width Simulator: Design the force-feedback devices used in VR, surgical robots and haptic gloves. Adjust the end-effecto…

Inverse response simulator for RHP-zero processes. Explore step response behavior, PI control tuning, and inverse response dynamics with interactive simulation.

Enter the coefficients of a discrete-time (digital) control system's characteristic polynomial and the tool builds the Jury table automatically, deciding whether every r…

Visualize how the Kalman filter recovers true state from noisy data. Adjust process and measurement noise to intuitively understand its operation.

Loop shaping simulator draws the open-loop Bode plot L=C·G_p of a PI-compensated second-order process and computes crossover frequency, phase margin, gain margin and bandwidth.

LQR inverted pendulum simulator: optimal feedback u=-Kx on a 4D cart-pole. Tune Q and R weights to see settling time, overshoot, and peak input trade off in real time.

Model Predictive Control Simulator for finite-horizon optimization. Discretize processes, compute optimal inputs, and compare MPC vs PID control strategies.

Nichols Chart Simulator: Plot the open-loop frequency response on a single diagram with phase on the horizontal axis and gain on the vertical axis. Adjust th…

Interactive Nyquist plot calculator. Adjust gain K to visualize stability margins and encirclements in real time. Learn the Nyquist stability criterion.

State-Space Observability Simulator: For a 2nd-order linear time-invariant system ẋ=Ax+Bu, y=Cx, this tool answers the question "can the full internal state …

Padé Approximation of Time Delay Simulator: Explore the Padé approximation, which replaces a pure time delay e^(−sT) with a rational transfer function. Chang…

Particle Filter Simulator: A tool for estimating a hidden state buried in noise with a swarm of weighted particles — the particle filter, or sequential Monte…

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.

Compare Ziegler-Nichols, Cohen-Coon, IMC, and SIMC PID tuning methods for FOPDT processes. Real-time step response, ISE/IAE/ITAE comparison, gain margin, and phase margin analysis.

Design the state-feedback gain K of u=-Kx by pole placement for a 2nd-order single-input system ẋ=Ax+Bu.

Calculate PWM duty cycle, frequency, voltage, ripple current, losses & LC filter design for motor control.

Relative Gain Array simulator for multivariable process control pairing. Analyze 2x2 gain matrices, loop interactions, and decentralized control pairings.'s RGA, measure loop interaction, and find the best input-output pairing, Niederlinski index and controllability verdict in real time.

Robot Arm Jacobian Singularity Simulator: Interactively change joint angles and link lengths of a 2-link planar arm to see the Jacobian det(J), Yoshikawa man…

2-Link Robot Arm kinematics solver for forward and inverse kinematics calculations. Interactive tool with FK/IK algorithms and elbow configurations.

Design and analyze root locus plots in real time. Set poles and zeros, sweep gain K, and visualize stability margins with asymptotes and centroid formulas.

Routh-Hurwitz stability criterion simulator: analyze control system stability via Routh array without computing roots. Includes s-plane plots and step response visualization.'s characteristic equation and the tool builds the Routh array automat…

Calculate servo system performance: bandwidth, phase margin, Bode plots, settling time, and PID tuning for optimal 45° stability.

Visualise the time response of a standard second-order system to a step input.

Sliding Mode Control simulator: explore VSC robustness with adjustable switching gain, boundary layer, and disturbance parameters for chattering suppression.

Smart Grid Frequency Droop Control Simulator: analyze primary frequency response, RoCoF, and droop control with interactive sweep tools for power system stability.'s droop response and the grid inertia H hold the frequency when the load suddenly chan…'s droop response and the grid inertia H hold the frequency when the load suddenly chan…

The Smith predictor simulator compares the step response of a standard PI controller and a Smith predictor on a first-order plus dead-time process, in real time.

State-Space Controllability Simulator: For a 2nd-order linear time-invariant system ẋ=Ax+Bu, this tool checks whether the input u alone can steer every direc…

Analyze state-space systems: Check controllability & observability, compute state feedback gain K, and visualize eigenvalues. Enter your A, B, C, D matrices.

Steady-State Error vs System Type Simulator: A classical-control playground that shows how the steady-state error of a unity-feedback loop is determined by t…