Identification of the external input of distributed-parameter systems by the boundary-element approach

An identification method is proposed for the unknown external input of distributed-parameter systems governed by a non-homogeneous partial differential equation of parabolic type. The mathematical formulation of the identification problem is based on a boundary partition and a weighted residual expr...

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Bibliographic Details
Published in:International journal of control 1986-04, Vol.43 (4), p.1125-1133
Main Authors: OHNAKA, KOHZABURO, UOSAKI, KATSUJI
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Modelling and identification
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Summary:An identification method is proposed for the unknown external input of distributed-parameter systems governed by a non-homogeneous partial differential equation of parabolic type. The mathematical formulation of the identification problem is based on a boundary partition and a weighted residual expression corresponding to the given partial differential equation, both of which are fundamental ideas of the boundary-element method. The unknown external input is estimated from state observations taken at points on the boundary by minimizing a suitable criterion function. The applicability of the proposed method is illustrated by a numerical example
ISSN:0020-7179
1366-5820
DOI:10.1080/00207178608933528