IkaTools | ADCS PID Control Visualization

Control Panel

Proportional Gain (Kp): Integral Gain (Ki): Derivative Gain (Kd): Inertia (I) [kg·m²]: Target Angle [°]: Simulation Time [s]: Time Step Δt [s]:

PID Control Law

e(t) = θ_target − θ(t)
τ(t) = Kp·e(t) + Ki·∫e(t)dt + Kd·de(t)/dt

System Equations

τ(t) = I·α(t)
α(t) = dω(t)/dt
ω(t) = dθ(t)/dt

Satellite Pointing

Pointing Error Angle vs. Time

Control Torque vs. Time

Angular Velocity vs. Time