A Task Space Approach for Planar Optimal Robot Tube Following

The classical optimal path following problem considers the problem of moving optimally along a predefined geometric path under technological restrictions. In contrast to optimal path following, optimal tube following allows deviations from the initial path within a predefined tube to reduce cost even more. The present paper proposes a modern approach that treats this non-convex problem in task space. This novel method also provides a simple way to derive optimal trajectories within a tube described in terms of polygonal lines. Numerical examples are presented that allow to compare the proposed method to existing joint space approaches.

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