Learning-based Parameterized Barrier Function for Safety-Critical Control of Unknown Systems

Fuente: arXiv
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Autori principali: Zhang, Sihua, Zhai, Di-Hua, Dai, Xiaobing, Huang, Tzu-yuan, Xia, Yuanqing, Hirche, Sandra
Natura: Preprint
Pubblicazione: 2024
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author Zhang, Sihua
Zhai, Di-Hua
Dai, Xiaobing
Huang, Tzu-yuan
Xia, Yuanqing
Hirche, Sandra
author_facet Zhang, Sihua
Zhai, Di-Hua
Dai, Xiaobing
Huang, Tzu-yuan
Xia, Yuanqing
Hirche, Sandra
contents With the increasing complexity of real-world systems and varying environmental uncertainties, it is difficult to build an accurate dynamic model, which poses challenges especially for safety-critical control. In this paper, a learning-based control policy is proposed to ensure the safety of systems with unknown disturbances through control barrier functions (CBFs). First, the disturbance is predicted by Gaussian process (GP) regression, whose prediction performance is guaranteed by a deterministic error bound. Then, a novel control strategy using GP-based parameterized high-order control barrier functions (GP-P-HOCBFs) is proposed via a shrunk original safe set based on the prediction error bound. In comparison to existing methods that involve adding strict robust safety terms to the HOCBF condition, the proposed method offers more flexibility to deal with the conservatism and the feasibility of solving quadratic problems within the CBF framework. Finally, the effectiveness of the proposed method is demonstrated by simulations on Franka Emika manipulator.
format Preprint
id arxiv_https___arxiv_org_abs_2408_05319
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Learning-based Parameterized Barrier Function for Safety-Critical Control of Unknown Systems
Zhang, Sihua
Zhai, Di-Hua
Dai, Xiaobing
Huang, Tzu-yuan
Xia, Yuanqing
Hirche, Sandra
Systems and Control
With the increasing complexity of real-world systems and varying environmental uncertainties, it is difficult to build an accurate dynamic model, which poses challenges especially for safety-critical control. In this paper, a learning-based control policy is proposed to ensure the safety of systems with unknown disturbances through control barrier functions (CBFs). First, the disturbance is predicted by Gaussian process (GP) regression, whose prediction performance is guaranteed by a deterministic error bound. Then, a novel control strategy using GP-based parameterized high-order control barrier functions (GP-P-HOCBFs) is proposed via a shrunk original safe set based on the prediction error bound. In comparison to existing methods that involve adding strict robust safety terms to the HOCBF condition, the proposed method offers more flexibility to deal with the conservatism and the feasibility of solving quadratic problems within the CBF framework. Finally, the effectiveness of the proposed method is demonstrated by simulations on Franka Emika manipulator.
title Learning-based Parameterized Barrier Function for Safety-Critical Control of Unknown Systems
topic Systems and Control
url https://arxiv.org/abs/2408.05319