Control System Analyzer

Define Transfer Function $G(s)$

Enter coefficients in descending order of powers of $s$. E.g., for $s^2 + 2s + 1$, enter `1, 2, 1`.

Step Response (Time Domain)

System response to a unit step input.

Impulse Response (Time Domain)

System response to a unit impulse input (initial condition approximation used).

Bode Plot (Magnitude)

Frequency response magnitude in dB.

Bode Plot (Phase)

Frequency response phase in degrees.

Nyquist Plot

Polar plot of $G(j\omega)$ in the complex plane.