Some results on simultaneous input and state estimation for linear systems

Xinmin Song, Wei Xing Zheng

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

2 Citations (Scopus)

Abstract

This paper is concerned with the problem of simultaneous input and state estimation for linear discrete-time systems with missing measurements. First, in order to simultaneously estimate the input and state in the sense of unbiased minimum variance, a recursive estimator is designed in terms of one Lyapunov equation and one Riccati equation. Then some mild conditions for the existence of the infinite horizon estimator are presented. Finally, a simulation example is provided to illustrate the effectiveness of the proposed approach.
Original languageEnglish
Title of host publicationProceedings of the 18th IFAC Symposium on System Identification (SYSID 2018), Stockholm, Sweden, 9–11 July 2018
PublisherElsevier
Pages49-54
Number of pages6
DOIs
Publication statusPublished - 2018
EventIFAC Symposium on System Identification -
Duration: 9 Jul 2018 → …

Publication series

Name
ISSN (Print)2405-8963

Conference

ConferenceIFAC Symposium on System Identification
Period9/07/18 → …

Keywords

  • Lyapunov functions
  • Riccati equation
  • estimation theory
  • linear systems

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