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Interval algorithm for set-membership identification of MIMO LTI system

  • China Aerospace Science and Technology Corporation
  • Beihang University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Based on the assumption of Unknown-But-Bounded (UBB) noise, an interval algorithm is presented for set-membership parameter identification of a multiple-input multiple-output (MIMO) linear time-invariant (LTI) system. By virtue of interval mathematics, the objective of this study is to seek the minimal interval estimation (or hyper-rectangle) of parameters to be identified, which is compatible with the measured data and the bounded noise. The present algorithm can obtain not only the center estimations of parameters, but also the bounds of errors on them. Numerical example is used to illustrate its small computation efforts and higher accuracy by comparison with Fogel's ellipsoidal algorithm and the least squares algorithm.

Original languageEnglish
Title of host publicationIntegrated Uncertainty in Knowledge Modelling and Decision Making - International Symposium, IUKM 2013, Proceedings
PublisherSpringer Verlag
Pages126-136
Number of pages11
ISBN (Print)9783642395147
DOIs
StatePublished - 2013
Event2013 International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making, IUKM 2013 - Beijing, China
Duration: 12 Jul 2013 → 14 Jul 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8032 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference2013 International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making, IUKM 2013
Country/TerritoryChina
CityBeijing
Period12/07/13 → 14/07/13

Keywords

  • Interval algorithm
  • Linear time-invariant (LTI) system
  • Multi-Input and Multi-Output (MIMO)
  • Set-membership identification (SMI)
  • Unknown-But-Bounded (UBB)

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