Signals & Control Systems

Signals and control systems calculators: Fourier series, FFT, Laplace transforms, step response, PID tuning, root locus and Nyquist stability — with live simulation.

1. 1

   Laplace Transform Solver

   Look up and evaluate Laplace transform pairs for 10 common functions: step, ramp, exponential, sine, cosine, tⁿ, damped sine/cosine, impulse…
2. 2

   Fourier Series Approximation

   Calculate Fourier series coefficients and waveform value at any time for square, triangle, sawtooth and half-wave rectified sine waves. Retu…
3. 3

   Signal FFT Analyser· Simulation

   Synthesise a multi-component signal, apply Hann/Hamming/Blackman windowing and compute the FFT. Identifies dominant frequencies, plots magni…
4. 4

   Spring-Mass-Damper ODE Simulation

   Analyse a 1-DOF spring-mass-damper system: natural frequency, damping ratio, peak displacement, settling time, steady-state amplitude under …
5. 5

   Control System Analyser· Simulation

   Analyse any LTI transfer function: unit step response, Bode gain and phase plots, pole-zero map, gain/phase margins, overshoot, rise time an…
6. 6

   PID Controller Simulation

   Tune and simulate a PID controller for a first-order process with dead time. Provides Ziegler-Nichols, Cohen-Coon and IMC tuning rules with …
7. 7

   Root Locus Gain Calculator

   Calculate closed-loop poles, natural frequency, damping ratio and required gain for a desired damping ratio using root locus analysis for a …
8. 8

   Nyquist Gain & Phase Margin

   Calculate gain margin, phase margin, gain crossover and phase crossover frequencies for open-loop transfer functions with up to 3 poles and …