Direct parameter identification of distributed parameter systems

Citation
D. Coca et Sa. Billings, Direct parameter identification of distributed parameter systems, INT J SYST, 31(1), 2000, pp. 11-17
Citations number
14
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
ISSN journal
00207721 → ACNP
Volume
31
Issue
1
Year of publication
2000
Pages
11 - 17
Database
ISI
SICI code
0020-7721(200001)31:1<11:DPIODP>2.0.ZU;2-Y
Abstract
A new direct approach to identifying the parameters of distributed paramete r systems from noise-corrupted data is introduced. The model of the system which takes the form of a set of linear or nonlinear partial differential e quations is assumed known with the exception of a set of constant parameter s. Using finite-difference approximations of the spatial derivatives the or iginal equation is transformed into a set of ordinary differential equation s. The identification approach involves smoothing the measured data and est imating the temporal derivatives using a fixed interval smoother. A least-s quares method is then employed to estimate the unknown parameters. Three ex amples that illustrate the applicability of the proposed approach are prese nted and discussed.