Journal of Applied Nonlinear Dynamics
Method for Finding a set of (A,B,C,D) Realizations for SingleInput MultipleOutput / MultipleInput SingleOutput Onedimensional Continuoustime Fractional Systems
Journal of Environmental Accounting and Management 8(1) (2019) 97108  DOI:10.5890/JAND.2019.03.008
Konrad Andrzej Markowski, Krzysztof Hryniów
Warsaw University of Technology, Faculty of Electrical Engineering Institute of Control and Industrial Electronics, Koszykowa Street No 75, 00662 Warsaw, Poland
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Abstract
In the paper presented is a method allowing for determination of a set of (A,B,C,D) realizations for fractionalorder dynamic systems. Proposed method is an extension of previously proposed algorithm that was used to determine realizations of fractionalorder 1D singleinput singleoutput (SISO) dynamic systems for both singleinput multipleoutput (SIMO) and multipleinput singleoutput (MISO) fractional dynamic systems. The main advantage of the method over canonical forms is that the algorithm finds a set of realizations, not just a single realization. Also, the solutions found tend to be minimal in terms of size of state matrix A. Additionally, the method allows for the possibility of obtaining a set of state matrices directly from digraph form of the system and can be efficiently used as GPGPU computer algorithm. Proposed method is presented in pseudocode and illustrated with example.
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