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H-/HUIO-Based Robust Fault Diagnosis Design in Finite Frequency Domain for Discrete-Time Systems

  • Harbin Institute of Technology
  • Beijing Institute of Remote Sensing Equipment
  • Aerospace System Engineering Shanghai

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

Abstract

This study investigates the problem of robust fault diagnosis for discrete-time systems subjected to actuator faults and unknown input disturbances. A novel H-/L-{infty} unknown input observer (UIO) based on the generalized Kalman-Yakubovich-Popov (GKYP) lemma is presented by decoupling the partial unknown input disturbances and attenuating the unknown input disturbances that cannot be decoupled. Then, the H- performance index in the finite frequency domain is used to measure the fault sensitivity and the L-{infty} performance index is used to reduce the influence of unknown input disturbances on fault diagnosis results and ensure the robustness performance. A residual evaluation function and a time-varying threshold are presented based on the L-{alpha} performance index. In addition, sufficient conditions for designing the H-/L-{infty} UIO are proposed and transformed into linear matrix inequalities (LMIs) that can be easily solved. Finally, simulations of a simple discrete-time system are used to validate the effectiveness of the developed H-/L-{infty} UIO.

Original languageEnglish
Title of host publicationProceedings of the 41st Chinese Control Conference, CCC 2022
EditorsZhijun Li, Jian Sun
PublisherIEEE Computer Society
Pages3978-3983
Number of pages6
ISBN (Electronic)9789887581536
DOIs
StatePublished - 2022
Event41st Chinese Control Conference, CCC 2022 - Hefei, China
Duration: 25 Jul 202227 Jul 2022

Publication series

NameChinese Control Conference, CCC
Volume2022-July
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference41st Chinese Control Conference, CCC 2022
Country/TerritoryChina
CityHefei
Period25/07/2227/07/22

Keywords

  • Discrete-time System
  • Fault diagnosis
  • Finite frequency domain
  • Linear matrix inequality (LMI)
  • Unknown input observer (UIO)

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