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ConceptDLS / Damped Least Squares

Damped Least Squares

Damped least squares is a classic means of suppressing jitter in inverse kinematics. By introducing a damping factor into the solution, it sacrifices some end-effector accuracy in exchange for numerical stability, avoiding explosive joint velocities near singular configurations.

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Oct 15

Damped Least Squares (DLS) suppresses IK jitter by introducing a damping factor during solving; the larger the damping factor, the smoother the motion but the larger the tracking error, and the smaller it is, the more precise but the more prone to jitter.

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Oct 15

For postures close to singular configurations, pure pseudo-inverse will output huge joint velocities, and adding Damped Least Squares (DLS) can significantly suppress jitter.

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Oct 15

DLS and clamping are often used together: first use DLS to ensure numerical stability, then use clamping as a fallback to prevent extreme cases.

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