Comparison and Analysis of Different Approaches in Fractional Order Systems
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Keywords:
Fractional-Order Systems, Filters, Modeling of System, Method of Oustaloup Fractional-Order DerivativeAbstract
Fractional order calculations, which have been around since the 1700s, have become an effective
method used for better modeling and control of systems in many fields of science and engineering in recent
years. This system, which gives very successful results in modeling, recently has been frequently used in
engineering applications such as filter modelling. Filter design, which is an example of these applications,
is a rich research field with a complete design theory, starting with design conditions and ending with circuit
implementation. In this context, the differential equations used in modeling the system mostly include
fractional derivative and integral operators. Physical interpretation of fractional operators is not as easy as
integer operators. Since the fractional operator is not local and depends on the past values of the function
as required by the derivative operation, it creates a long memory effect in the system. In this study, two
different approaches are presented as solutions to the difficulties encountered in modeling fractional order
systems. The outputs of these approaches used in modeling and analysis of the fractional order system are
compared and their advantages and disadvantages are stated.
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References
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