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2017 | OriginalPaper | Chapter

5. Implementation of Fractional-Order Models and Controllers

Author : Aleksei Tepljakov

Published in: Fractional-order Modeling and Control of Dynamic Systems

Publisher: Springer International Publishing

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Abstract

In this chapter, methods for hardware implementation of fractional-order models are discussed. Both analog and digital realizations are considered.

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previous chapter Fractional-Order PID Controller Design
next chapter FOMCON: Fractional-Order Modeling and Control Toolbox
Literature
1.
2.
S. Barrett, D. Pack, Atmel AVR microcontroller primer: programming and interfacing, 2nd edn. ser. Synthesis Lectures on Digital Circuits and Systems 1932-3166; Lecture #39 (Morgan & Claypool, 2012)
3.
G. Carlson, C. Halijak, Approximation of fractional capacitors \((1/s)^{1/n}\) by a regular Newton process. IEEE Trans. Circuit Theory 11(2), 210–213 (1964)
4.
A. Charef, H.H. Sun, Y.Y. Tsao, B. Onaral, Fractal system as represented by singularity function. IEEE Trans. Autom. Control 37(9), 1465–1470 (1992)
5.
W. Chen, Passive, Active, and Digital Filters (Taylor & Francis, 2006)
6.
L. Dorčák, J. Terpák, I. Petráš, F. Dorčáková, Electronic realization of the fractional-order systems. Acta Montanistica Slovaca 12(3), 231–237 (2007)
7.
L. Dorčák, J. Valsa, J. Terpák, I. Petráš, E. Gonzalez, Comparison of the electronic realization of the fractional-order system and its model, in Proceedings of 13th International Carpathian Control Conference (ICCC), 2012, pp. 119–124
8.
G.F. Franklin, M.L. Workman, D. Powell, Digital Control of Dynamic Systems, 3rd edn. (Addison-Wesley Longman Publishing Co., Inc., Boston, MA, USA, 1997)MATH
9.
10.
J.A.T. Machado, Discrete-time fractional-order controllers. J. Fract. Calc. Appl. Anal. 4(1), 47–66 (2001)MathSciNetMATH
11.
12.
13.
C.A. Monje, Y.Q. Chen, B.M. Vinagre, D. Xue, V. Feliu, Fractional-order systems and controls: fundamentals and applications. ser. Advances in Industrial Control (Springer, 2010)
14.
R. Morrison, RC constant-argument driving-point admittances. IRE Trans. Circ. Theory 6(3), 310–317 (1959)CrossRef
15.
A. Oustaloup, F. Levron, B. Mathieu, F.M. Nanot, Frequency-band complex noninteger differentiator: characterization and synthesis. IEEE Trans. Circ. Syst.—Part I: Fundam. Theory Appl. 47(1), 25–39 (2000)
16.
I. Podlubny, I. Petráš, B.M. Vinagre, P. O’Leary, L. Dorčák, Analogue realizations of fractional-order controllers. Nonlinear Dyn. 29, 281–296 (2002)MathSciNetCrossRefMATH
17.
18.
H. Sun, W. Chen, H. Wei, Y. Chen, A comparative study of constant-order and variable-order fractional models in characterizing memory property of systems. Eur. Phys. J. Special Top. 193(1), 185–192 (2011)CrossRef
19.
20.
A. Tepljakov, E. Petlenkov, J. Belikov, J. Finajev, Fractional-order controller design and digital implementation using FOMCON toolbox for MATLAB, in Proceedings of the 2013 IEEE Multi-Conference on Systems and Control conference, 2013, pp. 340–345
21.
J.F. Traub, Comparison of iterative methods for the calculation of \(n\)th roots. Commun. ACM 4, 143–145 (1961)
22.
23.
J. Valsa, P. Dvořá, M. Friedl, Network model of the CPE. Radioengineering 20(3), 619–626 (2011)
24.
A. Varga, Balancing free square-root algorithm for computing singular perturbation approximations, in Proceedings of 30th IEEE Conference on Decision and Control, 1991, pp. 1062–1065
25.
B.M. Vinagre, I. Podlubny, A. Hernández, V. Feliu, Some approximations of fractional order operators used in control theory and applications. Frac. Calc. Appl. Anal. 3, 945–950 (2000)MathSciNetMATH
26.
27.
D. Xue, Y.Q. Chen, D.P. Atherton, Linear Feedback Control: Analysis and Design with MATLAB (Advances in Design and Control), 1st edn. (Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 2008)
Metadata
Title
Implementation of Fractional-Order Models and Controllers
Author
Aleksei Tepljakov
Copyright Year
2017
Book
Fractional-order Modeling and Control of Dynamic Systems

Print ISBN: 978-3-319-52949-3

Electronic ISBN: 978-3-319-52950-9

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-52950-9_5