Details

Title

New perspectives of analog and digital simulations of fractional order systems

Journal title

Archives of Control Sciences

Yearbook

2017

Issue

No 1

Authors

Divisions of PAS

Nauki Techniczne

Publisher

Committee of Automatic Control and Robotics PAS

Date

2017

Identifier

DOI: 10.1515/acsc-2017-0006 ; ISSN 1230-2384

Source

Archives of Control Sciences; 2017; No 1

References

CHAREF (2012), Design of analog variable fractional order differentiator and integrator, Nonlinear Dynamics, 69. ; CHAREF (2006), Analogue realization of fractional order integrator , differentiator and fractional PIλDμ controller on Control Theory and Applications, IEE Proc, 153. ; DALIR (2010), Applications of fractional calculus Mathematical, Applied Sciences, 4, 1021. ; OPRZEDKIEWICZ (2014), Approximation method for a fractional order transfer function with zero and pole of Control, Archives Sciences, 24, 447. ; OTURANC (2008), A new analytical approximate method for the solution of fractional differential equations of Computer, Mathematics, 85. ; AOUN (2004), Numerical simulations of fractional systems : An overview of existing methods and improvements, Nonlinear Dynamics, 38, 117, doi.org/10.1007/s11071-004-3750-z ; KACZOREK (2008), Realization problem for fractional continuous time systems of Control, Archives Sciences, 18, 43. ; HU (2008), Analytical solution of the linear fractional differential equation by Adomian decomposition method of Computational and Applied, Mathematics, 215. ; DAMARLA (2015), Numerical solution of multi order fractional differential equations using generalized triangular function operational matrices and, Applied Mathematics Computation, 263. ; CHAREF (2006), Modeling and analog realization of the fundamental linear fractional order differential equation, Nonlinear Dynamics, 46, 195, doi.org/10.1007/s11071-006-9023-2 ; LI (2011), Numerical approaches to fractional calculus and fractional ordinary differential equation of Computational, Physics, 230. ; KHADER (2015), A new fractional Chebyshev FDM : an application for solving the fractional differential equations generated by optimization problem of Systems, Science, 46, 2598. ; CHAREF (1992), Fractal system as represented by singularity function on Automatic Control, IEEE Trans, 37, 1465. ; DJOUAMBI (2005), Fractional order robust control and PIλDμ controllers on Circuits and Systems, WSEAS Trans, 8, 850. ; GARRA (2012), Analytic solutions of fractional differential equations by operational methods and, Applied Mathematics Computation, 218. ; CHAREF (2011), On the fundamental linear fractional order differential Eequation, Nonlinear Dynamics, 65, 335, doi.org/10.1007/s11071-010-9895-z ; CHEN (2003), A new IIR - type digital fractional order differentiator, Signal Processing, 83. ; TSENG (2007), Design of FIR and IIR fractional order Simpson digital integrators, Signal Processing, 87. ; JIANG (2013), A systematic approach for implementing fractional - order operators and systems on Emerging and Selected Topics in Circuits and Systems, IEEE, 3, 301.
×