Details

Title

A new algorithm for a CFE-approximated solution of a discrete-time noninteger-order state equation

Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences

Yearbook

2017

Numer

No 4

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Sciences

Date

2017

Identifier

ISSN 0239-7528, eISSN 2300-1917

References

Pearson (2004), Nonlinear discrete time models state space vs representations of, Journal Process Control, 19, 533. ; Dzieliński (2010), Some applications of fractional order calculus Pol, Tech, 583. ; Pan (2013), Das Intelligent Fractional Order Systems and An Introduction, Control. ; Kaczorek (2014), Fractional Linear Systems and Electrical Circuits Bialystok University of Technology, null. ; Stanisławski (null), comparative analysis of - based approximators to the Grünwald - Letnikov fractional - order difference Mathematical Problems in Article ID, Engineering, 2015. ; (null), Petras http people tuke sk igor podlubny USU matlab petras dfod, null, 12. ; Alaoui (1993), Novel digital integrator and differentiator, Electronics Letters, 13, 376. ; Dorcak (2002), Fractional - order state space models International Carpathian Control Conference, Proc, 15, 193. ; Oprzędkiewicz (2016), Non integer order state space model for one dimensional heat transfer process of Control, Archives Sciences, 26, 261. ; Hammer (1984), Non linear systems Stability rationality of Control, Int J, 16, 11. ; Stanisławski (2013), Stability analysis for discrete - time fractional - order LTI state - space systems Part New necessary and sufficient conditions for asymptotic stability Pol, Tech, 22, 353. ; Springer (2008), Das Functional Fractional Calculus for System Identification and Controls, null. ; Siami (2011), Stability preservation analysis in direct discretization of fractional order transfer functions Processing, Signal, 21, 508. ; Caponetto (2010), Fractional Order Systems Modeling and Control Applications World Scientific Publishing Singapore, null, 1. ; Petras (2009), Fractional order feedback control of a DC motor of, Journal Electrical Engineering, 11, 117. ; Kotta (2001), Transfer equivalence and realization of nonlinear higher order input output difference equations, Automatica, 17, 11. ; Vinagre (2003), Two direct Tustin discretization methods for fractional - order differentiator - integrator of the, Journal Franklin Institute, 14, 340. ; Stanisławski (2013), Stability analysis for discrete - time fractional - order LTI state - space systems Part II : New stability criterion for FD - based systems Pol, Tech, 23, 362. ; Ostalczyk (2016), Discrete Fractional Calculus Applications in Control Processing World Scientific Publishing Singapore, Image, 20. ; Ostalczyk (2012), Equivalent descriptions of a discrete - time fractional - order linear system and its stability domains, International Journal of Applied Mathematics and Computer Science, 22, 533.

DOI

10.1515/bpasts-2017-0048

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