Observability analysis of nonlinear systems using pseudo-linear transformation

Yu Kawano, Toshiyuki Ohtsuka

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

13 Citations (Scopus)

Abstract

In the linear control theory, the observability Popov-Belevitch-Hautus (PBH) test plays an important role in studying observability along with the observability rank condition and observability Gramian. The observability rank condition and observability Gramian have been extended to nonlinear systems and have found applications in the analysis of nonlinear systems. On the other hand, there is no observability criterion for nonlinear systems corresponding to the PBH test. In this study, we generalize the observability PBH test for nonlinear systems using pseudo-linear transformation.

Original languageEnglish
Title of host publication9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings
PublisherElsevier
Pages606-611
Number of pages6
Volume46, issue 23
EditionPART 1
ISBN (Print)9783902823472
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Toulouse, France
Duration: 4-Sept-20136-Sept-2013

Conference

Conference9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013
Country/TerritoryFrance
CityToulouse
Period04/09/201306/09/2013

Keywords

  • Nonlinear systems
  • Observability
  • PBH test
  • Pseudo-linear transformation

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