Learning Local Control Barrier Functions for Hybrid Systems

Fuente: arXiv
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Autori principali: Yang, Shuo, Chen, Yu, Yin, Xiang, Pappas, George J., Mangharam, Rahul
Natura: Preprint
Pubblicazione: 2024
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author Yang, Shuo
Chen, Yu
Yin, Xiang
Pappas, George J.
Mangharam, Rahul
author_facet Yang, Shuo
Chen, Yu
Yin, Xiang
Pappas, George J.
Mangharam, Rahul
contents Hybrid dynamical systems are ubiquitous as practical robotic applications often involve both continuous states and discrete switchings. Safety is a primary concern for hybrid robotic systems. Existing safety-critical control approaches for hybrid systems are either computationally inefficient, detrimental to system performance, or limited to small-scale systems. To amend these drawbacks, in this paper, we propose a learning-enabled approach to construct local Control Barrier Functions (CBFs) to guarantee the safety of a wide class of nonlinear hybrid dynamical systems. The end result is a safe neural CBF-based switching controller. Our approach is computationally efficient, minimally invasive to any reference controller, and applicable to large-scale systems. We empirically evaluate our framework and demonstrate its efficacy and flexibility through two robotic examples including a high-dimensional autonomous racing case, against other CBF-based approaches and model predictive control.
format Preprint
id arxiv_https___arxiv_org_abs_2401_14907
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Learning Local Control Barrier Functions for Hybrid Systems
Yang, Shuo
Chen, Yu
Yin, Xiang
Pappas, George J.
Mangharam, Rahul
Robotics
Machine Learning
Systems and Control
Hybrid dynamical systems are ubiquitous as practical robotic applications often involve both continuous states and discrete switchings. Safety is a primary concern for hybrid robotic systems. Existing safety-critical control approaches for hybrid systems are either computationally inefficient, detrimental to system performance, or limited to small-scale systems. To amend these drawbacks, in this paper, we propose a learning-enabled approach to construct local Control Barrier Functions (CBFs) to guarantee the safety of a wide class of nonlinear hybrid dynamical systems. The end result is a safe neural CBF-based switching controller. Our approach is computationally efficient, minimally invasive to any reference controller, and applicable to large-scale systems. We empirically evaluate our framework and demonstrate its efficacy and flexibility through two robotic examples including a high-dimensional autonomous racing case, against other CBF-based approaches and model predictive control.
title Learning Local Control Barrier Functions for Hybrid Systems
topic Robotics
Machine Learning
Systems and Control
url https://arxiv.org/abs/2401.14907