NMPC for Collision Avoidance by Superellipsoid Separation
Ruairi Moran, Sheila Bagley, Seth Kasmann, Rob Martin, David Pasley,, Shane Trimble, James Dianics, Pantelis Sopasakis

TL;DR
This paper presents a real-time NMPC method for obstacle avoidance in heavy equipment using superellipsoid models and optimization techniques, enabling efficient navigation in complex environments.
Contribution
It introduces a novel NMPC formulation that models vehicles and obstacles as superellipsoids, integrating the separating hyperplane theorem and OpEn for improved obstacle avoidance.
Findings
Successful simulation and experimental validation
Effective obstacle avoidance in obstructed environments
Real-time capability demonstrated on skid-steer loader
Abstract
This paper introduces a novel NMPC formulation for real-time obstacle avoidance on heavy equipment by modeling both vehicle and obstacles as convex superellipsoids. The combination of this approach with the separating hyperplane theorem and Optimization Engine (OpEn) allows to achieve efficient obstacle avoidance in autonomous heavy equipment and robotics. We demonstrate the efficacy of the approach through simulated and experimental results, showcasing a skid-steer loader's capability to navigate in obstructed environments.
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