A Time-Warping Transformation for Time-Optimal Movement in Differentially Flat Systems
The notion of warping the rate of time is explored in the context of differentially flat systems to enable time-optimal motion by convex optimisation. Examples are given with systems configured on the special Euclidean groups SE(2) and SE(3), with and without differential constraints. The proposed method complements classical methods of motion planning, may be used in a real-time context with guar