Title

Linear Dynamic System Identification in the Frequency Domain Using Fractional Derivatives

Journal title

Metrology and Measurement Systems

Yearbook

2010

Issue

No 2

Authors

Janiczek, Tomasz ; Janiczek, Janusz

Keywords

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

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation

Date

2010

Type

Artykuły / Articles

Identifier

DOI: 10.2478/v10178-010-0024-6 ; ISSN 2080-9050, e-ISSN 2300-1941

Source

Metrology and Measurement Systems; 2010; No 2

Pages

279-288

References

Axtell M. (1990), Fractional calculus applications in control systems, null, 563. ; Bagley R. (1984), On the appearance of the fractional derivative in the behavior of real materials, J. Appl. Mech, 51, 294. ; Eykhoff P. (1974), System identification. Parameter and Sate Estimation. ; Janiczek T. (2001), Analysis of PVDF transducer signals stimulated by mechanical tension, Journal of Electrostatics, 51-52, 167. ; Janiczek, T. (2003). <i>Models of systems described by fractional differential equations and basic algorithms of their identification. Ph.D. Thesis</i>, Wroclaw University of Technology. ; Levy E. (1959), Complex curve fitting, IRE Trans. Aut. Contr, 4, 37. ; MacDonald J. (1987), Impedance Spectroscopy: Emphasis Solid Materials and Systems. ; Miller K. (1993), An Introduction to the Fractional Calculus and Fractional Differential Equations. ; Podlubny I. (1999), Fractional Differential Equations. ; Sawaragi Y. (1981), Classical Methods and time series estimation. Trends And Progress In System Identification. ; Janiczek T. (2005), Equivalent model of modified bismuth oxides described by fractional derivatives, null. ; Nowak-Woźny D. (2009), Fractional electrical model for modified bismuth oxide, Journal of Electrostatics, 67, 18.