Robots, rockets, and more! Control theory in 10 minutes!
summary
Live coding builds a simulated elevator and tries controllers that actually run: bang-bang control flips a force back and forth and oscillates, proportional plus derivative smooths motion but stalls, and explicitly apply 980 Newtons to cancel gravity for a 100 kg car yields perfect tracking. System uses state-space matrices A and B and linear algebra tools (eigenvalues, MATLAB-style computation) to predict stability and design an optimal linear controller.
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