An algorithm for bounded-error identification of nonlinear systems based on DC functions

被引：16

作者：

Bravo, J. M. ^{[2
]}

Alamo, A. T. ^{[1
]}

Redondo, M. J. ^{[2
]}

Camacho, E. F. ^{[1
]}

机构：

[1] Univ Seville, Dept Ingn Sistemas & Automat, Seville 41092, Spain

[2] Univ Huelva, Dept Ingn Elect Sistemas Informat & Automat, Palos De La Frontera 21071, Huelva, Spain

来源：

AUTOMATICA | 2008年 / 44卷 / 02期

关键词：

Nonlinear identification; set-membership identification;

D O I：

10.1016/j.automatica.2007.05.026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a guaranteed method for the parameter estimation of nonlinear models in a bounded-error context. This method is based on functions which consists of the difference of two convex functions, called DC functions. The method considers DC representations of the functional form of the dynamic system to obtain an outer bound of the set of parameters that are consistent with the measurements, the system and the considered bounded error. At each iteration, the proposed algorithm solves several convex optimization problems to discard from the initial search region subregions that are proved not consistent. This operation is repeated while the obtained solution is improved. Four examples are provided to clarify the proposed identification algorithm. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：437 / 444

页数：8

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