Gude, Juan JoséBaraldi, Flavia B.Oleagordia Ruiz, IbonGarcía Bringas, Pablo2025-06-022025-06-022024Gude, J. J., Baraldi, F. B., Oleagordia, I., & Bringas, P. G. (2024). Analytical fractional reduced-order model identification method for processes with overdamped and underdamped response. IFAC-PapersOnLine, 58(12), 191-196. https://doi.org/10.1016/J.IFACOL.2024.08.1882405-897110.1016/J.IFACOL.2024.08.188http://hdl.handle.net/20.500.14454/2887Ponencia presentada en la 12th IFAC Conference on Fractional Differentiation and its Applications ICFDA, celebrada en Burdeos entre el 9 y el 12 de julio de 2024In this paper, an analytical procedure to identify a fractional-first order plus dead time (FFOPDT) model is presented. This procedure is applied to processes with overdamped or underdamped step response, i.e., fractional order values in the range 0.5 ≤ α ≤ 2.0 can be estimated. The required process information is obtained through a simple open-loop step experiment and is based on fitting three arbitrary points (x1-x2-x3%) on the process reaction curve. Some numerical examples are proposed to show the effectiveness and applicability of this procedure for the identification of fractional-order models. The main feature of this approach is that it estimates the FFOPDT model of overdamped and underdamped processes.eng© 2024 The AuthorsFractional first-order plus dead-time modelFractional-order systemsOverdamped responseProcess identificationUnderdamped responseconference paper2025-06-022405-8963