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Inverted Pendulum Control - Classical & State Space - Swing Up

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Inverted Pendulum Control

The classic inverted pendulum, where you must move a cart to keep the pendulum in a vertical position.

drawing

  • state vars = [x, v, theta, omega] with x [m] and v [m/s] the position and velocity of the cart, and theta and omega the angle [rad] and angular velocity [rad/s] of the pendulum with respect to the vertical.
  • input = a force F [N] applied to the cart
  • limits on input: -10 < F < 10

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