Abstract | ||
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Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on optimal motion planning has employed two main strategies to define a safe bound on an obstacle's space: using a polyhedron or a nonlinear differentiable surface. The former approach relies on disjunctive programming, which has a relatively high computational cost that grows exponentially with the number of obstacles. The latter approach needs to be linearized locally to find a tractable evaluation of the chance constraints, which dramatically reduces the remaining free space and leads to over-conservative trajectories or even unfeasibility. In this work, we present a hybrid approach that eludes the pitfalls of both strategies while maintaining the original safety guarantees. The key idea consists in obtaining a safe differentiable approximation for the disjunctive chance constraints bounding the obstacles. The resulting nonlinear optimization problem can be efficiently solved to meet fast real-time requirements with multiple obstacles. We validate our approach through mathematical proof, simulation and real experiments with an aerial robot using nonlinear model predictive control to avoid pedestrians. |
Year | DOI | Venue |
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2020 | 10.1109/LRA.2020.2975759 | IEEE ROBOTICS AND AUTOMATION LETTERS |
Keywords | DocType | Volume |
Planning, Real-time systems, Computational efficiency, Robot kinematics, Dynamics, Safety, Motion and path planning, collision avoidance, optimization and optimal control, autonomous vehicle navigation | Journal | 5 |
Issue | ISSN | Citations |
2 | 2377-3766 | 1 |
PageRank | References | Authors |
0.34 | 10 | 6 |
Name | Order | Citations | PageRank |
---|---|---|---|
Manuel Castillo-Lopez | 1 | 4 | 1.43 |
philippe ludivig | 2 | 14 | 1.43 |
Seyed Amin Sajadi-Alamdari | 3 | 10 | 2.39 |
Jose Luis Sanchez-Lopez | 4 | 105 | 10.32 |
Miguel A. Olivares-Mendez | 5 | 89 | 8.97 |
Holger Voos | 6 | 118 | 34.98 |