狭所における凸多角形を考慮した衝突回避を伴う車両のリアルタイムモデル予測制御
Real-Time Model Predictive Control of Vehicles with Convex-Polygon-Aware Collision Avoidance in Tight Spaces
車両と障害物を凸多角形で近似し、混合整数計画を要するOR制約をSVMベースと最小符号付き距離ベースの2手法で扱いやすいAND制約に再定式化することで、狭所でのリアルタイムMPC衝突回避を実現した。
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著者: Haruki Kojima, Kohei Honda, Hiroyuki Okuda, Tatsuya Suzuki
分類: cs.RO
原文アブストラクト
This paper proposes vehicle motion planning methods with obstacle avoidance in tight spaces by incorporating polygonal approximations of both the vehicle and obstacles into a model predictive control (MPC) framework. Representing these shapes is crucial for navigation in tight spaces to ensure accurate collision detection. However, incorporating polygonal approximations leads to disjunctive OR constraints in the MPC formulation, which require a mixed integer programming and cause significant computational cost. To overcome this, we propose two different collision-avoidance constraints that reformulate the disjunctive OR constraints as tractable conjunctive AND constraints: (1) a Support Vector Machine (SVM)-based formulation that recasts collision avoidance as a SVM optimization problem, and (2) a Minimum Signed Distance to Edges (MSDE) formulation that leverages minimum signed-distance metrics. We validate both methods through extensive simulations, including tight-space parking scenarios and varied-shape obstacle courses, as well as hardware experiments on an RC-car platform. Our results demonstrate that the SVM-based approach achieves superior navigation accuracy in constrained environments; the MSDE approach, by contrast, runs in real time with only a modest reduction in collision-avoidance performance.
関連論文
- 非構造動的環境における衝突回避のためのモデル予測輪郭制御モデル予測制御/衝突回避
