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Two nonlinear optimization methods for black box identification compared

delete2010-10-01
delete24
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OA
AI
A
Anne Van Mulders *
J
J. Schoukens
M
Moritz Diehl
DOI:10.1016/j.automatica.2010.06.021delete
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Abstract

Abstract

En 中文
In this paper, two nonlinear optimization methods for the identification of nonlinear systems are compared. Both methods estimate the parameters of e.g. a polynomial nonlinear state-space model by means of a nonlinear least-squares optimization of the same cost function. While the first method does not estimate the states explicitly, the second method estimates both states and parameters adding an extra constraint equation. Both methods are introduced and their similarities and differences are discussed utilizing simulation data. The unconstrained method appears to be faster and more memory efficient, but the constrained method has a significant advantage as well: it is robust for unstable systems of which bounded input-output data can be measured (e.g. a system captured in a stabilizing feedback loop). Both methods have successfully been applied on real-life measurement data. (C) 2010 Elsevier Ltd. All rights reserved.
Keywords:
Identification algorithms
Parameter estimation
Nonlinear systems
Nonlinear models
State-space models
Constraints

Journal

Automatica cover
Automatica
IF:
5.9
Papers:
1.2W
Citations:
5.2W

Organization

K
KU Leuven
Scholars:
5.7W
Papers: 5.2W
Citations: 8.1W
V
Vrije Universiteit Brussel
Scholars:
1.4W
Papers: 1.3W
Citations: 129
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