Approximation of fractional-order MIMO system - a unified approach
by Jaydeep Swarnakar
International Journal of Systems, Control and Communications (IJSCC), Vol. 15, No. 1, 2024

Abstract: In this paper, a method is presented to approximate a class of fractional-order multiple-input multiple-output (MIMO) system in discrete-delta domain. The modelling approach is unconventional in the sense that it does not encompass the traditional generating functions for approximating the fractional-order MIMO system. Instead, the novel delta operator has been endorsed for accomplishing the approximation as it facilitates the unified representation of both the continuous-time system and discrete-time system together. The transfer function matrix (TFM) of the continuous-time fractional-order MIMO system is derived in the first stage. The TFM is approximated in the next stage using delta operator and the continued fraction expansion (CFE) method. The approximation technique has been illustrated by taking suitable example.

Online publication date: Fri, 01-Dec-2023

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