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A New Interval Observer Design Method with Application to Fault Detection

  • Liliang Li
  • , Zhijie Shao
  • , Rui Niu
  • , Gang Liu
  • , Zhenhua Wang*
  • *Corresponding author for this work
  • Shanghai Institute of Spaceflight Control Technology
  • School of Astronautics, Harbin Institute of Technology

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

Abstract

This chapter proposes a novel interval observer for continuous-time linear systems with unknown disturbance. Based on the stability criterion of a Metzler matrix, the interval observer design problem is converted into a series of nonlinear inequalities. To attenuate the effect of unknown disturbance on estimation error, an interval observer design method based on constrained optimization is proposed. The proposed interval observer is able to estimate upper and lower bounds of the states in the general assumption that disturbance is unknown but bounded. Thus it is particularly suitable for fault detection for uncertain linear systems. Therefore, the proposed method is further used to generate dynamic thresholds to achieve fault detection. Finally, a flight control system is simulated to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationPositive Systems - Theory and Applications POSTA 2018
EditorsJames Lam, Xingwen Liu, Xudong Zhao, Yun Chen, Junfeng Zhang
PublisherSpringer Verlag
Pages233-243
Number of pages11
ISBN (Print)9783030043261
DOIs
StatePublished - 2019
Externally publishedYes
Event6th International Conference on Positive Systems, POSTA 2018 - Hangzhou, China
Duration: 25 Aug 201827 Aug 2018

Publication series

NameLecture Notes in Control and Information Sciences
Volume480
ISSN (Print)0170-8643

Conference

Conference6th International Conference on Positive Systems, POSTA 2018
Country/TerritoryChina
CityHangzhou
Period25/08/1827/08/18

Keywords

  • Constrained optimization
  • Fault detection
  • Interval observer
  • Metzler matrix

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