NONPARAMETRIC ALGORITHM FOR IDENTIFICATION OF WEAKLY NONLINEAR STATIC DISTRIBUTED-PARAMETER SYSTEMS

作     者：RAFAJLOWICZ, E 

作者机构：WROCLAW TECH UNIV INST ENGN CYBERNET PL-50370 WROCLAW POLAND 

出 版 物：《SYSTEMS & CONTROL LETTERS》 (系统与控制快报)

年 卷 期：1984年第4卷第2期

页      面：91-96页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0811[工学-控制科学与工程] 

主　　题：Distributed parameter systems Identification Weakly nonlinear systems Nonparametric algorithm 

摘      要：An algorithm for identification of a nonlinear characteristic in a static distributed-parameter system is proposed. The algorithm is nonparametric in the sense that only smooth requirements are imposed on the unknown characteristic and that the number of terms in its orthogonal series expansion is not fixed in advance, depending on the number of measurements (the idea borrowed from statistics). Computational simplicity of the algorithm is obtained by restricting its applications to the identification of only weakly nonlinear, static systems, which allows applying perturbation theory. It is shown that if the unknown characteristic in the system equation is replaced by its estimator, then the resulting state converges to the true system state in the mean square sense.