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Numerical Algorithms

, Volume 37, Issue 1–4, pp 187–198 | Cite as

Guaranteed Nonlinear State Estimator for Cooperative Systems

  • Michel Kieffer
  • Eric Walter
Article

Abstract

This paper is about state estimation for continuous-time nonlinear models, in a context where all uncertain variables can be bounded. More precisely, cooperative models are considered, i.e., models that satisfy some constraints on the signs of the entries of the Jacobian of their dynamic equation. In this context, interval observers and a guaranteed recursive state estimation algorithm are combined to enclose the state at any given instant of time in a subpaving. The approach is illustrated on the state estimation of a waste-water treatment process.

bounded errors cooperative models interval observer nonlinear models set estimator state estimator 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Michel Kieffer
    • 1
  • Eric Walter
    • 1
  1. 1.LSS, CNRS-Supélec-Université Paris-Sud Plateau de MoulonGif-sur-YvetteFrance

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