Online identification of continuous bimodal and trimodal piecewise affine systems

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Abstract

This paper investigates the identification of continuous piecewise affine systems in state space form with jointly unknown partition and subsystem matrices. The partition of the system is generated by the so-called centers. By representing continuous piecewise affine systems in the max-form and using a recursive Gauss-Newton algorithm for a suitable cost function, we derive adaptive laws to online estimate parameters including both subsystem matrices and centers. The effectiveness of the proposed approach is demonstrated with a numerical example.
Original languageEnglish
Title of host publicationProceedings 2016 European Control Conference (ECC)
EditorsAnders Rantzer, John Bagterp Jørgensen, Jakob Stoustrup
Place of PublicationPiscataway, NJ, USA
PublisherIEEE
Pages1075-1080
ISBN (Print)978-1-5090-2591-6
DOIs
Publication statusPublished - 2016
Event2016 European Control Conference, ECC 2016: 15th annual European Control Conference - Aalborg, Denmark
Duration: 29 Jun 20161 Jul 2016
http://www.ecc16.eu/index.shtml

Conference

Conference2016 European Control Conference, ECC 2016
Abbreviated titleECC'16
Country/TerritoryDenmark
CityAalborg
Period29/06/161/07/16
Internet address

Bibliographical note

Accepted Author Manuscript

Keywords

  • Cost function
  • Partitioning algorithms
  • Control systems
  • Differential equations
  • Mathematical model
  • Convergence
  • Europe

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