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Motion Profiles

Time laws for point-to-point motion of a single axis: position, velocity, acceleration and jerk as functions of time, planned once and sampled every control tick.

Algorithms

Algorithm Description
Polynomial Profile Cubic (position + velocity) or quintic (+ acceleration) boundary-matched time law over a fixed duration
Trapezoidal Profile Minimum-time trapezoid / triangle velocity profile (LSPB) and a fixed-duration plan for multi-axis synchronization
S-Curve Profile Seven-phase jerk-limited rest-to-rest profile with a closed-form three-step planner — continuous acceleration