Subspace identification of MIMO LPV systems using a periodic scheduling sequence

被引：125

作者：

Felici, Federico ^{[1
]}

van Wingerden, Jan-Willem ^{[1
]}

Verhaegen, Michel ^{[1
]}

机构：

[1] Delft Univ Technol, Delft Ctr Syst & Control, NL-2628 CD Delft, Netherlands

来源：

AUTOMATICA | 2007年 / 43卷 / 10期

关键词：

identification; subspace methods; periodic systems; LPV systems; time-varying systems; instrumental variable methods;

D O I：

10.1016/j.automatica.2007.02.027

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A novel subspace identification method is presented which is able to reconstruct the deterministic part of a multivariable state-space LPV system with affine parameter dependence, in the presence of process and output noise. It is assumed that the identification data is generated with the scheduling variable varying periodically during the course of the identification experiment. This allows to use methods from LTI subspace identification to determine the column space of the time-varying observability matrices. It is shown that the crucial step in determining the original LPV system is to ensure the obtained observability matrices are defined with respect to the same state basis. Once the LPV model has been identified, it is valid for other nonperiodic scheduling sequences as well. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1684 / 1697

页数：14

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