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Study on Feedback Linearization of Atomic Polarizability Based on Bloch Equations

  • Beihang University

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

Abstract

This paper investigates the linearization control methods for Bloch equations. For the first time, we examine the diffeomorphic transformations of the spin-exchange relaxation-free (SERF) atomic magnetometer (AM) from a differential geometry perspective, and design stable and convergent controllers using feedback linearization methods. The Bloch equations of SERF AMs can be rewritten as a class of single-input affine nonlinear systems. For such systems, a differential transformation method using Lie derivatives is employed for their linearization study. For different output scenarios, various control functions are constructed using feedback linearization methods. Simulations validate the effectiveness of these control functions in regulating polarization.

Original languageEnglish
Title of host publicationProceedings of 2024 Academic Conference of China Instrument and Control Society, ACCIS 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages628-631
Number of pages4
ISBN (Electronic)9798350350326
DOIs
StatePublished - 2024
Event2024 Academic Conference of China Instrument and Control Society, ACCIS 2024 - Chengdu, China
Duration: 28 Jul 202431 Jul 2024

Publication series

NameProceedings of 2024 Academic Conference of China Instrument and Control Society, ACCIS 2024

Conference

Conference2024 Academic Conference of China Instrument and Control Society, ACCIS 2024
Country/TerritoryChina
CityChengdu
Period28/07/2431/07/24

Keywords

  • Bloch equation
  • diffeomorphic transformations
  • linearization

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