Title: Approximation of fractional-order MIMO system - a unified approach

Authors: Jaydeep Swarnakar

Addresses: Department of Electronics and Communication Engineering, North-Eastern Hill University, Shillong-793022, Meghalaya, India

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.

Keywords: fractional-order system; FOS; multiple-input multiple-output; MIMO; delta operator; continued fraction expansion; CFE; transfer function matrix; TFM.

DOI: 10.1504/IJSCC.2024.135177

International Journal of Systems, Control and Communications, 2024 Vol.15 No.1, pp.17 - 35

Received: 30 Nov 2022
Accepted: 20 Jun 2023

Published online: 01 Dec 2023 *

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