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Pose-Following with Dual Quaternions

Recorded video of the presentation given at the IEEE Conference in Decision and Control (CDC) 2023 in Singapore. Paper: https://arxiv.org/pdf/2308.09507.pdf Code: https://github.com/jonarriza96/pfdq Abstract: This work focuses on pose-following, a variant of path-following in which the goal is to steer the system’s position and attitude along a path with a moving frame attached to it. Full body motion control, while accounting for the additional freedom to self-regulate the progress along the path is an appealing trade-off. Towards this end, we extend the well-established dual quaternion based pose-tracking method into a pose-following control law. Specifically, we derive the equations of motion for the full pose error between the geometric reference and the rigid body in the form of a dual quaternion and dual twist, and subsequently, formulate an almost globally asymptotically stable control law. The global attractivity of the presented approach is validated in a spatial example, while its benefits over pose-tracking are showcased through a planar case-study.