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Mathematical Problems in Engineering
Volume 2015, Article ID 349070, 18 pages
Research Article

Mixed Estimators Variety for Model Order Reduction in Control Oriented System Identification

1Université de Lyon, 42023 Saint-Étienne, France
2Université de Saint-Étienne (Jean Monnet), 42000 Saint-Étienne, France
3LASPI, IUT Roanne, 42334 Roanne, France
4Laboratoire des Sciences de l’Information et des Systèmes, UMR CNRS, ENSAM, 13617 Aix-en-Provence, France

Received 5 May 2014; Accepted 2 July 2014

Academic Editor: Guido Maione

Copyright © 2015 Christophe Corbier and Jean-Claude Carmona. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new family of MLE type estimators for model order reduction in dynamical systems identification is presented in this paper. A family of distributions proposed in this work combines () and () distributions which are quantified by four parameters. The main purpose is to show that these parameters add degrees of freedom (DOF) in the estimation criterion and reduce the estimated model complexity. Convergence consistency properties of the estimator are analysed and the model order reduction is established. Experimental results are presented and discussed on a real vibration complex dynamical system and pseudo-linear models are considered.