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

Chadia Zayane-Aissa 1 Da-Yan Liu 2 Taous-Meriem Laleg-Kirati 1
1 KAUST-CEMSE - Estimation Modelling and ANalysis Group
2 PRISME - Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique
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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Communication dans un congrès
The 13th European Control Conference (ECC 2014), Jun 2014, Strasbourg, France. 2014
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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. 2014. 〈hal-00987907〉

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