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Piecewise-Linear Motion Planning amidst Static, Moving, or Morphing Obstacles

Abstract : We propose a novel method for planning shortest length piecewise-linear motions through complex environments punctured with static, moving, or even morphing obstacles. Using a moment optimization approach, we formulate a hierarchy of semidefinite programs that yield increasingly refined lower bounds converging monotonically to the optimal path length. For computational tractability, our global moment optimization approach motivates an iterative motion planner that outperforms competing sampling-based and nonlinear optimization baselines. Our method natively handles continuous time constraints without any need for time discretization, and has the potential to scale better with dimensions compared to popular sampling-based methods.
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https://hal.laas.fr/hal-02971806
Contributor : Jean Bernard Lasserre <>
Submitted on : Monday, October 19, 2020 - 5:43:51 PM
Last modification on : Thursday, June 10, 2021 - 3:05:54 AM

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  • HAL Id : hal-02971806, version 1
  • ARXIV : 2010.08167

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Bachir El Khadir, Jean-Bernard Lasserre, Vikas Sindhwani. Piecewise-Linear Motion Planning amidst Static, Moving, or Morphing Obstacles. IEEE International Conference on Robotics and Automation, IEEE Robotics & Automation Society, May 2021, Xi'an, China. ⟨hal-02971806⟩

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