Control Barrier Function-Based Discrete-Time Adaptive Control for Uncertain Systems

Hao Xu, Zhongjiao Shi*, Liangyu Zhao

*Corresponding author for this work

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

Abstract

A novel control barrier function-based discrete-time adaptive control is presented for uncertain safety-critical systems, which can ensure the asymptotic convergence of tracking error while guaranteeing the estimation parameter within a safety set. Firstly, a discrete-time adaptive law is proposed with the control barrier function (CBF) to ensure the safety of estimated parameters based on the forward invariance of sets. Then, a discrete-time adaptive control architecture is synthesized, and its Lyapunov stability analysis is proved by a logarithmic Lyapunov function. Last, numerical example is provided to illustrate the convincingness of the proposed method.

Original languageEnglish
Title of host publicationAdvances in Guidance, Navigation and Control - Proceedings of 2024 International Conference on Guidance, Navigation and Control Volume 5
EditorsLiang Yan, Haibin Duan, Yimin Deng
PublisherSpringer Science and Business Media Deutschland GmbH
Pages280-290
Number of pages11
ISBN (Print)9789819622153
DOIs
Publication statusPublished - 2025
EventInternational Conference on Guidance, Navigation and Control, ICGNC 2024 - Changsha, China
Duration: 9 Aug 202411 Aug 2024

Publication series

NameLecture Notes in Electrical Engineering
Volume1341 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

ConferenceInternational Conference on Guidance, Navigation and Control, ICGNC 2024
Country/TerritoryChina
CityChangsha
Period9/08/2411/08/24

Keywords

  • adaptive control
  • control barrier function
  • discrete-time
  • logarithmic Lyapunov function
  • safety-critical systems

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