Real-Time Spatiotemporal Tubes for Dynamic Unsafe Sets
- URL: http://arxiv.org/abs/2512.06151v1
- Date: Fri, 05 Dec 2025 21:00:43 GMT
- Title: Real-Time Spatiotemporal Tubes for Dynamic Unsafe Sets
- Abstract summary: We present a real-time control framework for nonlinear pure-stay systems with unknown dynamics.<n>We provide formal guarantees for obstacle avoidance and on-time completion.<n>The framework is demonstrated through simulations and hardware experiments on a mobile robot and an aerial vehicle.
- Score: 2.7222301668137483
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: This paper presents a real-time control framework for nonlinear pure-feedback systems with unknown dynamics to satisfy reach-avoid-stay tasks within a prescribed time in dynamic environments. To achieve this, we introduce a real-time spatiotemporal tube (STT) framework. An STT is defined as a time-varying ball in the state space whose center and radius adapt online using only real-time sensory input. A closed-form, approximation-free control law is then derived to constrain the system output within the STT, ensuring safety and task satisfaction. We provide formal guarantees for obstacle avoidance and on-time task completion. The effectiveness and scalability of the framework are demonstrated through simulations and hardware experiments on a mobile robot and an aerial vehicle, navigating in cluttered dynamic environments.
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