Online identification of piecewise affine systems

Stefan Kersting, Marin Buss

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

12 Scopus citations

Abstract

In this paper, we present a novel procedure for online identification of piecewise affine systems. We show how to identify the submodels of a piecewise affine system online, under the assumption of known switching boundaries and full state measurement. The adaptively identified subsystem parameters can be used for indirect adaptive control or online plant diagnosis and fault detection. The procedure proposed in this paper extends the well-studied series-parallel parameter identifiers in adaptive control to piecewise affine systems. Challenges that had to be solved for this extension are the additional constant input of the affine subsystems and the switching behavior which is a potential source of instability. We sketch the proof for both stability and parameter convergence of the proposed algorithm. Finally, numerical simulations validate the results and analyze the convergence speed of the estimated parameters.

Original languageEnglish
Title of host publication2014 UKACC International Conference on Control, CONTROL 2014 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages86-91
Number of pages6
ISBN (Electronic)9781479950119
DOIs
StatePublished - 1 Oct 2014
Event10th UKACC International Conference on Control, CONTROL 2014 - Loughborough, United Kingdom
Duration: 9 Jul 201411 Jul 2014

Publication series

Name2014 UKACC International Conference on Control, CONTROL 2014 - Proceedings

Conference

Conference10th UKACC International Conference on Control, CONTROL 2014
Country/TerritoryUnited Kingdom
CityLoughborough
Period9/07/1411/07/14

Keywords

  • adaptive control
  • hybrid systems
  • piecewise affine systems
  • system identification

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