Spring & mass
Keep overshoot below 5%
Tune damping for a 1 N step. Keep measured overshoot below 5% and the final second within 2% of 0.05 m.
Take the challengePUT YOUR INTUITION TO THE TEST
An engineering problem. Your solution.
Meet a measurable design target. Run your model, evaluate the actual response and refine your settings.
Cart & pendulum
Keep the pendulum upright
Tune angular rate gain. For 10 s keep |θ|<20°, finish within 2° and 0.1 rad/s for 2 s, and keep cart excursion under 2.5 m.
Take the challengeVehicle suspension
A smoother ride, within travel
Tune suspension damping. Reduce acceleration RMS after the bump starts by at least 20% relative to cₛ=500, while keeping peak travel at or below 0.05 m.
Take the challengeElectric drive
Reach 12 rad/s
Choose the voltage that holds shaft speed within 1% of 12 rad/s throughout the final second of an 8 s run.
Take the challengeTorsional oscillator
Critical torsional damping
Tune b to within 2% of critical damping and hold the final second within ±0.002 rad.
Take the challengeRLC circuit
Suppress capacitor overshoot
Tune R for less than 5% overshoot to a 1 V step and a final half-second within 2% of equilibrium.
Take the challengeThermal response
Warm up within a minute
Choose thermal capacitance so the body completes 95% of its rise from 20 to 40°C in 60 seconds.
Take the challengeLiquid tank
Hold a one-metre level
Choose constant inlet flow for equilibrium within 0.01 m of 1 m, and keep the last 20 seconds within 0.02 m.
Take the challenge