Nepomuceno, Erivelton and Takahashi, R. H. C. and Aguirre, L. A. (2007) Multiobjective parameter estimation for non-linear systems: affine information and least-squares formulation. International Journal of Control, 80 (6). pp. 863-871. ISSN 0020-7179

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Abstract

This paper defines a class of system information—affine information—that includes both the dynamic residuals and some types of auxiliary information that can be used in system parameter estimation as special cases. The types of information that can be cast under the affine information format give rise to quadratic functions that measure the extent to which a model fits such information, and that can be aggregated in a single weighted quadratic cost functional. This allows the definition of a multiobjective methodology for parameter estimation in non-linear system identification, which allows taking into account any type of affine information. The results are presented in terms of a set of efficient solutions of the multiobjective estimation problem—such a solution set is more meaningful than a single model. Since any affine information leads to a convex (quadratic) functional, the whole set of efficient solutions is exactly accessible via the minimization of the quadratic functional with different weightings, via a least-squares minimization (a non-iterative, computationally inexpensive procedure). The decision stage, in which a single model is chosen from the Pareto-set, becomes well-defined with a single global solution. Residual variance, fixed point location, static function and static gain are shown to fit in the class of affine information. A buck DC-DC converter is used as example.

Item Type:	Article
Keywords:	Multiobjective; parameter; estimation; non-linear systems; Affine; information; least-squares formulation;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	16838
Identification Number:	https://doi.org/10.1080/00207170601185053
Depositing User:	Erivelton Nepomuceno
Date Deposited:	10 Jan 2023 15:45
Journal or Publication Title:	International Journal of Control
Publisher:	Taylor and Francis Group
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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