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The Convergence of the Minimum Energy Estimator

  • Part II: System Behavior and Extimation
  • Conference paper
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Part of the book series: Lecture Notes in Control and Information Science ((LNCIS,volume 295))

Abstract

We show that under suitable hypothesis that the minimum energy estimate of the state of a partially observed dynamical system converges to the true state. The main assumption is that the system is uniformly observable for any input.

Keywords: Nonlinear Observer, State Estimation, Nonlinear Filtering, Minimum Energy Estimation, High Gain Observers, Extended Kalman Filter, Uniformly Observable for Any Input.

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Wei Kang Carlos Borges Mingqing Xiao

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Krener, A.J. The Convergence of the Minimum Energy Estimator. In: Kang, W., Borges, C., Xiao, M. (eds) New Trends in Nonlinear Dynamics and Control and their Applications. Lecture Notes in Control and Information Science, vol 295. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45056-6_12

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  • DOI: https://doi.org/10.1007/978-3-540-45056-6_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40474-3

  • Online ISBN: 978-3-540-45056-6

  • eBook Packages: Springer Book Archive

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