Sampled-data based state and parameter estimation for state-affine systems with uncertain output equation

Tarek Ahmed-Ali, Koen Tiels, Maarten Schoukens, Fouad Giri

Research output: Contribution to journalConference articlepeer-review

3 Citations (Scopus)

Abstract

The problem of sampled-data observer design is addressed for a class of state- and parameter-affine nonlinear systems. The main novelty in this class lies in the fact that the unknown parameters enter the output equation and the associated regressor is nonlinear in the output. Wiener systems belong to this class. The difficulty with this class of systems comes from the fact that output measurements are only available at sampling times causing the loss of the parameter-affine nature of the model (except at the sampling instants). This makes existing adaptive observers inapplicable to this class of systems. In this paper, a new sampled-data adaptive observer is designed for these systems and shown to be exponentially convergent under specific persistent excitation (PE) conditions that ensure system observability and identifiability. The new observer involves an inter-sample output predictor that is different from those in existing observers and features continuous trajectories of the state and parameter estimates.

Original languageEnglish
Pages (from-to)491-496
Number of pages6
JournalIFAC-PapersOnLine
Volume51
Issue number15
DOIs
Publication statusPublished - 8 Oct 2018
Event18th IFAC Symposium on System Identification (SYSID 2018) - Stockholm, Sweden
Duration: 9 Jul 201811 Jul 2018

Keywords

  • Adaptive observer
  • Sampled-data nonlinear systems

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