Joint state and parameter estimation for distributed mechanical systems - Archive ouverte HAL Access content directly
Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2008

Joint state and parameter estimation for distributed mechanical systems

Abstract

We present a novel strategy to perform estimation for a dynamical mechanical system in standard operating conditions, namely, without ad hoc experimental testing. We adopt a sequential approach, and the joint state-parameter estimation procedure is based on a state estimator inspired from collocated feedback control. This type of state estimator is chosen due to its particular effectiveness and robustness, but the methodology proposed to adequately extend state estimation to joint state-parameter estimation is general, and - indeed -applicable with any other choice of state feedback observer. The convergence of the resulting joint estimator is mathematically established. In addition, we demonstrate its effectiveness with a biomechanical test problem defined to feature the same essential characteristics as a heart model, in which we identify localized contractility and stiffness parameters using measurements of a type that is available in medical imaging.
Fichier principal
Vignette du fichier
PM_DC_PLT06.pdf (1.06 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00175623 , version 1 (05-06-2013)

Identifiers

Cite

Philippe Moireau, Dominique Chapelle, Patrick Le Tallec. Joint state and parameter estimation for distributed mechanical systems. Computer Methods in Applied Mechanics and Engineering, 2008, 197 (6-8), pp.659-677. ⟨10.1016/j.cma.2007.08.021⟩. ⟨hal-00175623⟩
521 View
818 Download

Altmetric

Share

Gmail Facebook X LinkedIn More