Analytical method for the identification of higher-order fractional systems using fractional dual-pole plus dead-time models

This paper introduces an innovative technique for identifying fractional dual-pole plus dead-time (FDPPDT) models based on data obtained from a process reaction curve. The proposed technique accurately captures the fractional dynamics of high-order systems with S-shaped step responses by employing a simplified, reduced-order model. Building on established methodologies, it provides a practical and straightforward solution designed for ease of implementation at the industrial level, demonstrating robust effectiveness. Both simulation and experimental results highlight the advantages of this method, showing improved accuracy and applicability compared to traditional approaches. To our knowledge, this is the first analytical method for FDPPDT model identification developed using this strategy. The proposed technique offers a practical and accurate solution for modeling complex industrial processes, with applications in the process industry where precise control is essential.