🎛️ Control Systems Theory

PID ControllerNewThe workhorse of industrial control: u = Kp·e + Ki·∫e + Kd·ė. Drive a heater,… Bode Plot: Frequency Response & Stability MarginsNewInteractive Bode plot simulator: place real poles and zeros, watch genuine magnitude and… Root Locus: How Poles Move as Gain ChangesNewInteractive root locus plot: place open-loop poles and zeros, sweep gain K and watch the… State-Space Control & LQRNewInteractive state-space control simulator: simulate ẋ=Ax+Bu, tune full-state feedback by… Inverted Pendulum: The Classic Control ProblemNewBalance a pendulum upright on a rolling cart using real nonlinear cart-pole physics and a… Cruise Control: PI Controller & Integral WindupNewInteractive cruise-control simulator where a real vehicle model climbs a hill under PI speed… Magnetic Levitation Control: Stabilizing an Unstable SystemNewA real nonlinear F ∝ I²/x² electromagnet-and-ball plant that is inherently unstable…