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Optimal weighting design for distributed parameter systems estimation

✍ Scribed by Mostafa Ouarit; Jean-Pierre Yvon; Jacques Henry

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
125 KB
Volume
22
Category
Article
ISSN
0143-2087

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✦ Synopsis

Abstract

This paper presents a method which aims at improving parameter estimation in dynamical systems. The general principle of the method is based on a modification of the least‐squares objective function by means of a weighting operator, in view to improve the conditioning of the identification problem. First we recall a previous work using variational calculus in order to obtain the weighting operators through a linear equation. Then we propose a new approach which consists of determining the weights by formulating an optimization problem including positive semidefinite constraints (linear matrix inequalities, LMI). Copyright Β© 2001 John Wiley & Sons, Ltd.

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