Adaptive observer for the joint estimation of parameters and input for a coupled wave PDE and infinite dimensional ODE system

Zehor Belkhatir, Sarra Mechhoud, Taous-Meriem Laleg-Kirati

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper deals with joint parameters and input estimation for coupled PDE-ODE system. The system consists of a damped wave equation and an infinite dimensional ODE. This model describes the spatiotemporal hemodynamic response in the brain and the objective is to characterize brain regions using functional Magnetic Resonance Imaging (fMRI) data. For this reason, we propose an adaptive estimator and prove the asymptotic convergence of the state, the unknown input and the unknown parameters. The proof is based on a Lyapunov approach combined with a priori identifiability assumptions. The performance of the proposed observer is illustrated through some simulation results.
Original languageEnglish (US)
Title of host publication2016 American Control Conference (ACC)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages3435-3440
Number of pages6
ISBN (Print)9781467386821
DOIs
StatePublished - Aug 5 2016

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