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Distributionally Robust CVaR-Based Safety Filtering for Motion Planning in Uncertain Environments

2023/09/16 by Sleiman Safaoui, Tyler Summers, Safaoui, Sleiman +1 · 5 citations
Decision Sciences · Health Professions · #FOS: Computer and information sciences #FOS: Electrical engineering #Occupational Health and Safety Research #Risk and Safety Analysis #Robotics (cs.RO) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2309.08821

openalex publication_date 2023/09/16 · openalex created_date 2023/09/20 · openalex updated_date 2026/07/28

Abstract

Safety is a core challenge of autonomous robot motion planning, especially in the presence of dynamic and uncertain obstacles. Many recent results use learning and deep learning-based motion planners and prediction modules to predict multiple possible obstacle trajectories and generate obstacle-aware ego robot plans. However, planners that ignore the inherent uncertainties in such predictions incur collision risks and lack formal safety guarantees. In this paper, we present a computationally efficient safety filtering solution to reduce the collision risk of ego robot motion plans using multiple samples of obstacle trajectory predictions. The proposed approach reformulates the collision avoidance problem by computing safe halfspaces based on obstacle sample trajectories using distributionally robust optimization (DRO) techniques. The safe halfspaces are used in a model predictive control (MPC)-like safety filter to apply corrections to the reference ego trajectory thereby promoting safer planning. The efficacy and computational efficiency of our approach are demonstrated through numerical simulations.

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