Title
Adaptive Observer For Parabolic Pdes With Uncertain Parameter In The Boundary Condition
Abstract
We are considering the problem of state observation for a class of infinite dimensional systems. The latter are modelled by a parabolic PDE and a boundary condition involving an unknown parameter. The problem is dealt with using an adaptive observer that provides online estimates of the system (spatially distributed) state and the unknown parameters. The observer is formally shown to be exponentially convergent under an ad-hoc persistent excitation condition.
Year
DOI
Venue
2015
10.1109/ECC.2015.7330725
2015 EUROPEAN CONTROL CONFERENCE (ECC)
Keywords
Field
DocType
partial differential equations,parabolic pde,adaptive systems,boundary condition,mathematical model,parabolic equations,multidimensional systems,parameter estimation,boundary conditions
Parabolic partial differential equation,Boundary value problem,Mathematical analysis,Distributed parameter system,Estimation theory,Observer (quantum physics),Partial differential equation,Mathematics,Multidimensional systems,Parabola
Conference
Citations 
PageRank 
References 
2
0.43
9
Authors
5
Name
Order
Citations
PageRank
Tarek Ahmed-Ali124526.90
F. Giri211029.41
Miroslav Krstic34987553.84
Laurent Burlion46913.81
Françoise Lamnabhi-lagarrigue521.11