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arXiv · 2512.05495

Temporal Reach-Avoid-Stay Control for Differential Drive Systems via Spatiotemporal Tubes

Ratnangshu Das·Ahan Basu·Christos Verginis·Pushpak Jagtap
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Abstract

This paper presents a computationally lightweight and robust control framework for differential-drive mobile robots with dynamic uncertainties and external disturbances, guaranteeing the satisfaction of Temporal Reach-Avoid-Stay (T-RAS) specifications. The approach employs circular spatiotemporal tubes (STTs), characterized by smoothly time-varying center and radius, to define dynamic safe corridors that guide the robot from the start region to the goal while avoiding obstacles. In particular, we first develop a sampling-based synthesis algorithm to construct a feasible STT that satisfies the prescribed timing and safety constraints with formal guarantees. To ensure that the robot remains confined within this tube, we then analytically design a closed-form control that is computationally efficient and robust to disturbances. The proposed framework is validated through simulation studies on a differential-drive robot and benchmarked against state-of-the-art methods, demonstrating superior robustness, accuracy, and computational efficiency.

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Ratnangshu Das, Ahan Basu, Christos Verginis, Pushpak Jagtap. 2025-12-05. Temporal Reach-Avoid-Stay Control for Differential Drive Systems via Spatiotemporal Tubes. https://arxiv.org/abs/2512.05495

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