Distributed-parameter Luenberger observer for semi-linear parabolic PDE systems with a mobile pointwise sensor

Jun Wei Wang, Yi Guo

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

5 Scopus citations

Abstract

The paper addresses the problem of state estimation using the measurement output of a mobile pointwise sensor for a class of nonlinear distributed parameter systems, which are modeled by a scalar semi-linear parabolic partial differential equation. A Lyapunov-based co-design method is proposed for simultaneous design of the guidance law of the mobile sensor and the distributed-parameter Luenberger observer. Exponential stability is guaranteed for the observer error system under a linear matrix inequality (LMI) condition. Numerical simulation of a real-world example shows the effectiveness of the method and the merit of the proposed design compared to a fixed sensor.

Original languageEnglish
Title of host publicationProceedings of the 35th Chinese Control Conference, CCC 2016
EditorsJie Chen, Qianchuan Zhao, Jie Chen
Pages1366-1371
Number of pages6
ISBN (Electronic)9789881563910
DOIs
StatePublished - 26 Aug 2016
Event35th Chinese Control Conference, CCC 2016 - Chengdu, China
Duration: 27 Jul 201629 Jul 2016

Publication series

NameChinese Control Conference, CCC
Volume2016-August
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference35th Chinese Control Conference, CCC 2016
Country/TerritoryChina
CityChengdu
Period27/07/1629/07/16

Keywords

  • Distributed parameter systems
  • Luenberger observer
  • Mobile sensor
  • State estimation

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