LINEAR DYNAMIC SYSTEM IDENTIFICATION IN THE FREQUENCY DOMAIN USING FRACTIONAL DERIVATIVES

被引：7

作者：

Janiczek, Tomasz ^{[2
]}

Janiczek, Janusz ^{[1
]}

机构：

[1] Wroclaw Univ Technol, Chair Elect & Photon Metrol, Dept Elect, PL-51317 Wroclaw, Poland

[2] Wroclaw Univ Technol, Inst Comp Engn Control & Robot, Dept Elect, PL-50372 Wroclaw, Poland

来源：

METROLOGY AND MEASUREMENT SYSTEMS | 2010年 / 17卷 / 02期

关键词：

fractional differential equations; fractional differential systems; Fourier transform method; identification methods;

D O I：

10.2478/v10178-010-0024-6

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

This paper presents a study of the Fourier transform method for parameter identification of a linear dynamic system in the frequency domain using fractional differential equations. Fundamental definitions of fractional differential equations are briefly outlined. The Fourier transform method of identification and their algorithms are generalized so that they include fractional derivatives and integrals.

引用

页码：279 / 287

页数：9

共 12 条

[1]

[Anonymous], J APPL MECH

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3]

AXTELL M, 1990, PROC NAECON IEEE NAT, P563, DOI 10.1109/NAECON.1990.112826

[4]

Eykhoff P., 1974, System Identification

[5] Analysis of PVDF transducer signals stimulated by mechanical tension [J].

Janiczek, T .

JOURNAL OF ELECTROSTATICS, 2001, 51 :167-172

[6]

JANICZEK T, 2003, MODELS SYSTEMS DESCR

[7]

JANICZEK T, 2005, 4 CHIN INT C HIGH PE

[8]

Levi E., 1959, IRE T AUTOM CONTROL, VAC-4, P37, DOI DOI 10.1109/TAC.1959.6429401

[9]

MacDonald J.R., 1991, IMPEDANCE SPECTROSCO

[10]

Miller K.S., 1993, INTRO FRACTIONAL INT

← 1 2 →