Robustness of Modified Control Barrier Functions subject to External Disturbances

  • Jiajun Shen
  • , Zhen Han
  • , Wei Wang*
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper focuses on the robustness of Control Barrier Functions (CBFs). The existing results, which combine the Control Lyapunov Functions (CLFs) and CBFs by Quadratic Programs (QP), can effectively mediate the potential conflict between control objectives and safety constraints. The system security can be guaranteed by the forward invariant safe set. However, the robustness of existing CBFs is too weak, while minor unknown disturbances can break the forward invariant property. To solve such a problem, Modified Control Barrier Functions (MCBFs) are proposed in this paper, which lead the priority of control objectives and safety constraints to be dynamically adjusted by the safety degree. The CLFs and MCBFs are combined in the QP-based controllers, to achieve the control objectives in the relative safe region, and to resist arbitrary bounded external disturbances at boundary of the safe set. The simulation results are given to demonstrate the effectiveness of the proposed control scheme.

Original languageEnglish
Title of host publicationProceedings of the 18th IEEE Conference on Industrial Electronics and Applications, ICIEA 2023
EditorsWenjian Cai, Guilin Yang, Jun Qiu, Tingting Gao, Lijun Jiang, Tianjiang Zheng, Xinli Wang
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages34-39
Number of pages6
ISBN (Electronic)9798350312201
DOIs
StatePublished - 2023
Event18th IEEE Conference on Industrial Electronics and Applications, ICIEA 2023 - Ningbo, China
Duration: 18 Aug 202322 Aug 2023

Publication series

NameProceedings of the 18th IEEE Conference on Industrial Electronics and Applications, ICIEA 2023

Conference

Conference18th IEEE Conference on Industrial Electronics and Applications, ICIEA 2023
Country/TerritoryChina
CityNingbo
Period18/08/2322/08/23

Keywords

  • Control barrier function
  • external disturbances
  • forward invariant set

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