Extension of a Fractional Model Identification Method for Fractional Dual-Pole Plus Dead-Time Models

This work introduces a novel technique for identifying fractional dual-pole plus dead-time models (FDPPDT) based on data derived from the reaction curve of the process. The proposed method effectively captures the fractional behavior of high-order systems with S-shaped step responses using a reduced-order model. Building upon the methodology outlined in previous work, this approach offers a straightforward and practical solution that is easy to apply and implement at the industrial level due to its proven effectiveness. The simplicity and effectiveness of the proposed technique are demonstrated through simulation examples, highlighting its advantages over other established methods. To the best of our knowledge, this is the first analytical technique presented to identify an FDPPDT model using the proposed approach.