Identifiability of affine linear parameter-varying models

被引：10

作者：

Alkhoury, Ziad ^{[1
,2
]}

Petreczky, Mihaly ^{[3
]}

Mercere, Guillaume ^{[1
]}

机构：

[1] Univ Poitiers, Lab Informat & Automat Syst, Batiment B25,2 Rue Pierre Brousse,TSA 41105, F-86073 Poitiers, France

[2] Univ Lille, IMT Lille Douai, Unite Rech Informat Automat, F-59000 Lille, France

[3] CNRS, Cent Lille, CRIStAL Ctr Rech Informat Signal & Automat Lille, UMR 9189, F-59000 Lille, France

来源：

AUTOMATICA | 2017年 / 80卷

关键词：

Linear parameter-varying models; Structural identifiability; Minimality; Realization theory; STRUCTURAL IDENTIFIABILITY; SYSTEMS;

D O I：

10.1016/j.automatica.2017.01.029

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the identifiability of discrete-time Affine Linear Parameter-Varying (ALPV) models is studied. Examples are presented to show that, in general, the identifiability of ALPV model parameterizations does not guarantee the identifiability of the LTI parameterizations composed of frozen LTI models. A new sufficient and necessary condition is then introduced in order to guarantee the structural identifiability for ALPV parameterizations. The identifiability of this class of parameterizations is related to the lack of state space isomorphisms between any two models corresponding to different parameter values. In addition, we present a sufficient and necessary condition for local structural identifiability, and a sufficient condition for (global) structural identifiability which are both based on the rank of a user-defined matrix. These latter conditions allow systematic verification of identifiability. Numerical examples are finally presented to illustrate our results. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：62 / 74

页数：13

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