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Sequence-of-Constraints MPC: Reactive Timing-Optimal Control of Sequential Manipulation

2022-03-10 14:30:12
Marc Toussaint, Jason Harris, Jung-Su Ha, Danny Driess, Wolfgang Hönig

Abstract

Task and Motion Planning has made great progress in solving hard sequential manipulation problems. However, a gap between such planning formulations and control methods for reactive execution remains. In this paper we propose a model predictive control approach dedicated to robustly execute a single sequence of constraints, which corresponds to a discrete decision sequence of a TAMP plan. We decompose the overall control problem into three sub-problems (solving for sequential waypoints, their timing, and a short receding horizon path) that each is a non-linear program solved online in each MPC cycle. The resulting control strategy can account for long-term interdependencies of constraints and reactively plan for a timing-optimal transition through all constraints. We additionally propose phase backtracking when running constraints are missed, leading to a fluent re-initiation behavior that is robust to perturbations and interferences by an experimenter.

Abstract (translated)

URL

https://arxiv.org/abs/2203.05390

PDF

https://arxiv.org/pdf/2203.05390.pdf


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