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arXiv · 2509.18506

Spatial Envelope MPC: High Performance Driving without a Reference

Siyuan Yu·Congkai Shen·Yufei Xi·James Dallas·Michael Thompson·John Subosits·Hiroshi Yasuda·Tulga Ersal
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Abstract

This paper presents a novel envelope based model predictive control (MPC) framework designed to enable autonomous vehicles to handle high performance driving across a wide range of scenarios without a predefined reference. In high performance autonomous driving, safe operation at the vehicle's dynamic limits requires a real time planning and control framework capable of accounting for key vehicle dynamics and environmental constraints when following a predefined reference trajectory is suboptimal or even infeasible. State of the art planning and control frameworks, however, are predominantly reference based, which limits their performance in such situations. To address this gap, this work first introduces a computationally efficient vehicle dynamics model tailored for optimization based control and a continuously differentiable mathematical formulation that accurately captures the entire drivable envelope. This novel model and formulation allow for the direct integration of dynamic feasibility and safety constraints into a unified planning and control framework, thereby removing the necessity for predefined references. The challenge of envelope planning, which refers to maximally approximating the safe drivable area, is tackled by combining reinforcement learning with optimization techniques. The framework is validated through both simulations and real world experiments, demonstrating its high performance across a variety of tasks, including racing, emergency collision avoidance and off road navigation. These results highlight the framework's scalability and broad applicability across a diverse set of scenarios.

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Siyuan Yu, Congkai Shen, Yufei Xi, James Dallas, Michael Thompson, John Subosits, Hiroshi Yasuda, Tulga Ersal. 2025-09-23. Spatial Envelope MPC: High Performance Driving without a Reference. https://arxiv.org/abs/2509.18506

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