Premium
Auxiliary model multiinnovation stochastic gradient parameter estimation methods for nonlinear sandwich systems
Author(s) -
Xu Ling,
Ding Feng,
Yang Erfu
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5266
Subject(s) - nonlinear system , identification (biology) , system identification , computer science , control theory (sociology) , estimation theory , mathematical optimization , function (biology) , mathematics , algorithm , data modeling , artificial intelligence , physics , botany , database , evolutionary biology , biology , control (management) , quantum mechanics
Summary This article studies the identification problem of the nonlinear sandwich systems. For the sandwich system, because there are inner variables which cannot be measured in the information vector of the identification models, it is difficult to identify the nonlinear sandwich systems. In order to overcome the difficulty, an auxiliary model is built to predict the estimates of inner variables by means of the output of the auxiliary model. For the purpose of employing the real‐time observed data, a cost function with dynamical data is constructed to capture on‐line information of the nonlinear sandwich system. On this basis, an auxiliary model stochastic gradient identification approach is proposed based on the gradient optimization. Moreover, an auxiliary model multiinnovation stochastic gradient estimation method is developed, which tends to enhance estimation accuracy by introducing more observed data dynamically. The numerical simulation is provided and the simulation results show that the proposed auxiliary model identification method is effective for the nonlinear sandwich systems.