Optimal experimental design and some related control problems

This paper traces the strong relations between experimental design and control, such as the use of optimal inputs to obtain precise parameter estimation in dynamical systems and the introduction of suitably designed perturbations in adaptive control. The mathematical background of optimal experiment...

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Bibliographic Details
Published in:Automatica (Oxford) 2008-02, Vol.44 (2), p.303-325
Main Author: Pronzato, Luc
Format: Article
Language:English
Subjects:
Active control
Active learning
Adaptative systems
Adaptive control
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Design of experiments
Exact sciences and technology
Mathematics
Modelling and identification
Optimization and Control
Parameter estimation
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Summary:This paper traces the strong relations between experimental design and control, such as the use of optimal inputs to obtain precise parameter estimation in dynamical systems and the introduction of suitably designed perturbations in adaptive control. The mathematical background of optimal experimental design is briefly presented, and the role of experimental design in the asymptotic properties of estimators is emphasized. Although most of the paper concerns parametric models, some results are also presented for statistical learning and prediction with nonparametric models.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2007.05.016