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Joint state and parameter estimation for a class of cascade systems: Application to a hemodynamic model

Abstract : In this paper, we address a special case of state and parameter estimation, where the system can be put on a cascade form allowing to estimate the state components and the set of unknown parameters separately. Inspired by the nonlinear Balloon hemodynamic model for functional Magnetic Resonance Imaging problem, we propose a hierarchical approach. The system is divided into two subsystems in cascade. The state and input are first estimated from a noisy measured signal using an adaptive observer. The obtained input is then used to estimate the parameters of a linear system using the modulating functions method. Some numerical results are presented to illustrate the efficiency of the proposed method.
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https://hal.inria.fr/hal-00987907
Contributor : Dayan Liu <>
Submitted on : Tuesday, May 6, 2014 - 11:56:44 PM
Last modification on : Monday, February 3, 2020 - 1:22:05 PM
Long-term archiving on: : Wednesday, August 6, 2014 - 2:05:45 PM

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  • HAL Id : hal-00987907, version 1

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Chadia Zayane-Aissa, Da-Yan Liu, Taous-Meriem Laleg-Kirati. Joint state and parameter estimation for a class of cascade systems: Application to a hemodynamic model. The 13th European Control Conference (ECC 2014), Jun 2014, Strasbourg, France. ⟨hal-00987907⟩

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