Optimal weighting design for distributed parameter systems estimation | Zendy

Ouarit Mostafa | Zendy; Yvon JeanPierre | Zendy; Henry Jacques | Zendy

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Optimal weighting design for distributed parameter systems estimation

Author(s) -

Ouarit Mostafa,

Yvon JeanPierre,

Henry Jacques

Publication year - 2001

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.681

Subject(s) - weighting , mathematical optimization , operator (biology) , identification (biology) , mathematics , matrix (chemical analysis) , computer science , optimization problem , multivariable calculus , engineering , materials science , repressor , control engineering , biology , gene , transcription factor , composite material , radiology , medicine , biochemistry , chemistry , botany

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 © 2001 John Wiley & Sons, Ltd.

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