Control Systems

Control systems calculators and formulas for transfer functions, feedback, and controller design. Includes Laplace transform, pole-zero analysis, and system stability calculations.

6Formulas

All levels Difficulty

Updated Jul 2026

← All Electrical Engineering (151) Control Systems (6)

Fundamental

Gain Margin

GM = 1 / |G(jω_pc)|

Fundamental

Steady-State Error

e_ss = lim_{s→0} s·E(s)

Fundamental

Natural Frequency (Electrical Analog)

ω_n = 1 / √(LC)

Fundamental

Damping Ratio (Electrical Analog)

ζ = R/2 · √(C/L)

Fundamental

PID Controller Output

u(t) = K_p·e + K_i∫e dt + K_d·(de/dt)

Fundamental

Transfer Function

H(s) = Y(s) / X(s)