Duality of variable fractional order difference operators and its application in identification

被引：22

作者：

Sierociuk, D. ^{[1
]}

Twardy, M. ^{[1
]}

机构：

[1] Warsaw Univ Technol, Fac Elect Engn, PL-00625 Warsaw, Poland

来源：

BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES | 2014年 / 62卷 / 04期

关键词：

variable order fractional calculus; duality; identification;

D O I：

10.2478/bpasts-2014-0089

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The paper presents a number of definitions of variable order difference and discusses duality among some of them. The duality is used to improve the performance of the least squares estimation when applied to variable order difference fractional systems. It turns out, that by appropriate exploitation of duality one can reduce the estimator variance when system identification is carried out.

引用

页码：809 / 815

页数：7

共 34 条

[1]

[Anonymous], 2006, P 2 IFAC WORKSH FRAC

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3]

[Anonymous], 2010, P 4 IFAC WORKSH FRAC

[4]

[Anonymous], 1987, FRACTIONAL INTEGRALS

[5] Digital fractional order operators for R-wave detection in electrocardiogram signal [J].

Benmalek, M. ;

Charef, A. .

IET SIGNAL PROCESSING, 2009, 3 (05) :381-391

[6]

Brouji H.E., 2008, IEEE, P1

[7]

Chien-Cheng Tseng, 2011, 2011 European Conference on Circuit Theory and Design (ECCTD 2011), P17, DOI 10.1109/ECCTD.2011.6043299

[8] Some applications of fractional order calculus [J].

Dzielinski, A. ;

Sierociuk, D. ;

Sarwas, G. .

BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2010, 58 (04) :583-592

[9]

Dzielinski A., 2007, P IEEEIFAC INT C MET, P129

[10]

Dzielinski A., 2011, ADV DIFFERENCE EQUAT, V11

← 1 2 3 4 →