A unified framework for the identification of a general class of multivariable nonlinear block-structured systems

被引：7

作者：

Cerone, Vito ^{[1
]}

Razza, Valentino ^{[1
]}

Regruto, Diego ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Automat & Informat, Corso Duca Abruzzi 24, I-20129 Turin, Italy

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2021年 / 31卷 / 15期

关键词：

block-structured nonlinear systems; linear fractional representation; system identification; SET-MEMBERSHIP IDENTIFICATION; STATE-SPACE; OPTIMIZATION; POLYNOMIALS; RELAXATIONS; BOUNDS;

D O I：

10.1002/rnc.5697

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 article addresses the parametric identification of block-structured nonlinear systems in a general form, characterized by the feedback interconnection of a multivariable linear system and a static multivariate nonlinear map. We assume that both the input and the output collected data are affected by bounded noise, which casts the problem in the context of set-membership (SM) errors-in-variables identification. We introduce a single-stage SM identification algorithm for the computation of the parameter uncertainty intervals. The proposed solution exploits the formulation of a suitable optimization problem solved through convex relaxation techniques. Numerical simulations and an experimental test show the effectiveness of the proposed approach.

引用

页码：7344 / 7360

页数：17

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