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Mathematical Problems in Engineering
Volume 2014, Article ID 572092, 9 pages
Research Article

Iterative Selection of Unknown Weights in Direct Weight Optimization Identification

1School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, China
2Faculty of Information Systems and Technologies, University of Donja Gorica, 81101 Podgorica, Montenegro

Received 5 December 2013; Revised 1 April 2014; Accepted 2 April 2014; Published 8 May 2014

Academic Editor: Rongni Yang

Copyright © 2014 Xiao Xuan et al. 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.


To the direct weight optimization identification of the nonlinear system, we add some linear terms about input sequences in the former linear affine function so as to approximate the nonlinear property. To choose the two classes of unknown weights in the more linear terms, this paper derives the detailed process on how to choose these unknown weights from theoretical analysis and engineering practice, respectively, and makes sure of their key roles between the unknown weights. From the theoretical analysis, the added unknown weights’ auxiliary role can be known in the whole process of approximating the nonlinear system. From the practical analysis, we learn how to transform one complex optimization problem to its corresponding common quadratic program problem. Then, the common quadratic program problem can be solved by the basic interior point method. Finally, the efficiency and possibility of the proposed strategies can be confirmed by the simulation results.