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

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.

Citation
Belkhatir Z, Mechhoud S, Laleg-Kirati T-M (2016) Adaptive observer for the joint estimation of parameters and input for a coupled wave PDE and infinite dimensional ODE system. 2016 American Control Conference (ACC). Available: http://dx.doi.org/10.1109/ACC.2016.7525445.

Publisher
Institute of Electrical and Electronics Engineers (IEEE)

Journal
2016 American Control Conference (ACC)

Conference/Event Name
2016 American Control Conference, ACC 2016

DOI
10.1109/ACC.2016.7525445

Permanent link to this record