Estimator design for input-constrained bilinear systems with application to wave energy conversion

Edo Abraham, Eric C. Kerrigan

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)

Abstract

This paper investigates low-order observer design for bilinear systems with input constraints. A bilinear Luenberger-type observer with an H-infinity performance measure is formulated and the resulting synthesis problem is posed as a matrix inequality optimization for a linear parameter varying system. The resulting (nonconvex) bilinear matrix inequality problem is then solved with an LMI-based algorithm to find low-order nominal and robust quadratically stable observers. The performance of these observers are compared with that of a Kalman filter. In addition to alleviating the need to know the noise spectrum and its lower real-time computational burden, the H-infinity filter is shown to be robust to model uncertainties. The online radiation force estimation problem for a wave energy converter with bilinear dynamics is considered as an example.

Original languageEnglish
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages5686-5691
Number of pages6
ISBN (Print)9781467357173
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: 10 Dec 201313 Dec 2013

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Conference

Conference52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period10/12/1313/12/13

Keywords

  • Bilinear systems
  • H-infinity filtering
  • LPV
  • Wave energy

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  • Cite this

    Abraham, E., & Kerrigan, E. C. (2013). Estimator design for input-constrained bilinear systems with application to wave energy conversion. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 5686-5691). [6760785] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/CDC.2013.6760785