Aggregative Modeling of Nonlinear Systems

被引：12

作者：

Wachel, Pawel ^{[1
]}

Sliwinski, Przemyslaw ^{[1
]}

机构：

[1] Wroclaw Univ Technol, Dept Control Syst & Mechatron, PL-50370 Wroclaw, Poland

来源：

IEEE SIGNAL PROCESSING LETTERS | 2015年 / 22卷 / 09期

关键词：

Convex optimization; nonlinear dynamic system; statistic aggregation; system identification; HAMMERSTEIN SYSTEMS; IDENTIFICATION;

D O I：

10.1109/LSP.2015.2405613

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In the note we examine the recently introduced aggregation modeling technique in a system identification context. First, we show that its finite sample size properties are preserved for any nonlinear SISO system with finite memory. Then, using as an example the peripheral auditory model we demonstrate that it allows to find effective Volterra approximations of LNL systems.

引用

页码：1482 / 1486

页数：5

共 14 条

[1]

[Anonymous], LECT NOTES STAT

[2]

Bai E., 2010, Ser. Lecture Notes in Control and Information Sciences

[3]

Doyle F.J., 2002, COMM CONT E

[4]

Juditsky A, 2000, ANN STAT, V28, P681

[5] Sparse Volterra and Polynomial Regression Models: Recoverability and Estimation [J].

Kekatos, Vassilis ;

Giannakis, Georgios B. .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (12) :5907-5920

[6]

Marmarelis V.Z., 2004, IEEE PRESS SERIES BI

[7] Nonlinearity Recovering in Hammerstein System from Short Measurement Sequence [J].

Mzyk, Grzegorz .

IEEE SIGNAL PROCESSING LETTERS, 2009, 16 (09) :762-765

[8]

Ogunfunmi T, 2007, SIGNALS COMMUN TECHN, P1, DOI 10.1007/978-0-387-68630-1

[9] Quasiconvexity analysis of the Hammerstein model [J].

Rasouli, Mohammad ;

Westwick, David ;

Rosehart, William .

AUTOMATICA, 2014, 50 (01) :277-281

[10] Identification of Wiener-Hammerstein systems by a nonparametric separation of the best linear approximation [J].

Schoukens, Maarten ;

Pintelon, Rik ;

Rolain, Yves .

AUTOMATICA, 2014, 50 (02) :628-634

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