An NMPC Approach using Convex Inner Approximations for Online Motion Planning with Guaranteed Collision Avoidance

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Tobias Schoels, Luigi Palmieri, Kai O. Arras, and Moritz Diehl
An NMPC Approach using Convex Inner Approximations for Online Motion Planning with Guaranteed Collision Avoidance
Proceedings of the IEEE International Conference on Robotics and Automation (ICRA) 2020

 

Abstract

Even though mobile robots have been around for decades, trajectory optimization and continuous time collision avoidance remain subject of active research. Existing methods trade off between path quality, computational complexity, and kinodynamic feasibility. This work approaches the problem using a nonlinear model predictive control (NMPC) framework, that is based on a novel convex inner approximation of the collision avoidance constraint. The proposed Convex Inner ApprOximation (CIAO) method finds kinodynamically feasible and continuous time collision free trajectories, in few iterations, typically one. For a feasible initialization, the approach is guaranteed to find a feasible solution, i.e. it preserves feasibility. Our experimental evaluation shows that CIAO outperforms state of the art baselines in terms of planning efficiency and path quality. Experiments show that it also efficiently scales to high-dimensional systems. Furthermore real-world experiments demonstrate its capability of unifying trajectory optimization and tracking for safe motion planning in dynamic environments.

 

@inproceedings{schoelsICRA2020,
   title={An {NMPC} approach using convex inner approximations for online motion planning with guaranteed collision avoidance},
   author={Schoels, Tobias and Palmieri, Luigi and Arras, Kai O and Diehl, Moritz},
   booktitle={2020 IEEE International Conference on Robotics and Automation (ICRA)},
   pages={3574--3580},
   year={2020},
   organization={IEEE}
 }