ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Method for Finding a set of (A,B,C,D) Realizations for Single-Input Multiple-Output / Multiple-Input Single-Output One-dimensional Continuous-time Fractional Systems

Journal of Environmental Accounting and Management 8(1) (2019) 97--108 | DOI:10.5890/JAND.2019.03.008

Warsaw University of Technology, Faculty of Electrical Engineering Institute of Control and Industrial Electronics, Koszykowa Street No 75, 00-662 Warsaw, Poland

Abstract

In the paper presented is a method allowing for determination of a set of (A,B,C,D) realizations for fractional-order dynamic systems. Proposed method is an extension of previously proposed algorithm that was used to determine realizations of fractional-order 1D single-input single-output (SISO) dynamic systems for both single-input multipleoutput (SIMO) and multiple-input single-output (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 pseudo-code and illustrated with example.

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