Abstract
The identification of the spatially dependent parameters in Partial Differential Equations (PDEs) is important in both physics and control problems. A methodology is presented to identify spatially dependent parameters from spatio-temporal measurements. Local non-rational transfer functions are derived based on three local measurements allowing for a local estimate of the parameters. A sample Maximum Likelihood Estimator (SMLE) in the frequency domain is used, because it takes noise properties into account and allows for high accuracy consistent parameter estimation. Confidence bounds on the parameters are estimated based on the noise properties of the measurements. This method is successfully applied to the simulations of a finite difference model of a parabolic PDE with piecewise constant parameters.
Original language | Undefined |
---|---|
Pages (from-to) | 2113-2119 |
Number of pages | 7 |
Journal | Automatica |
Volume | 50 |
Issue number | 8 |
DOIs | |
Publication status | Published - Aug 2014 |
Keywords
- EWI-25236
- Maximum likelihood estimators
- Heat flows
- IR-92442
- Systems transfer functions
- METIS-309627
- Partial differential equations