Related simulators
Continue with similar topics in this category — or all 48 in Engineering.
PID Controller (1D)
Cart on a track: Kp, Ki, Kd and random velocity impulses toward set-point x = 0.
Thermostat vs PID
First-order room: on/off hysteresis vs continuous PID heater power.
Cart–Pole: LQR vs MPC vs PID
Nonlinear cart inverted pendulum: linearize about upright φ = θ, discrete-time LQR from DARE (Q, R → K), finite-horizon LQ MPC with DARE terminal cost, and hand-tuned PID — same force limit, kicks, and plant as the mechanics cart-pole.
Root Locus: 1 + K·G(s) = 0
Same pole–zero plant editor as the Bode/Nyquist map: trace closed-loop poles as K sweeps log-spaced, asymptotes and real-axis locus sketch, Durand–Kerner roots at the current K; characteristic D(s)+K g₀ N₀(s)=0.
Jeffcott Rotor Critical Speed
Single disk on a flexible shaft: ω_n = √(k/m), unbalance response, whirl orbit, phase lag, and critical-speed crossing.
Torsional Drivetrain Resonance
Two-inertia torsional drivetrain: shaft stiffness and damping, twist angle, first natural mode, resonance response, and optional backlash deadzone.