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The linear model used for the steer controller design is described by the block diagram in Figure lat_block.jpg. Symbols represent

  • U(s): desired lateral distance from the path which is always 0.
  • C(s) = c / s: constant compensation term of the controller.
  • M(s) = m / s: constant term that accounts for the error of the model used to determine the compensation.
  • D(s) = d / s^2: disturbance term that models the curve in the path.
  • w: the wheelbase.
  • alpha: the steer factor.
  • delta: steer input in (-100, 100).
  • omega: direction of the vehicle in radians, from the x1 axis, positive counter-clockwise.
  • X(s): controlled variable, the lateral distance from the path.

The transfer function of the system is

X(s) = (-v0 * d * w)

DOCUMENTATION EXPANSION

These are likely to be expanded and moved on the main wiki page at some point.

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