Examinando por Autor "Di Teodoro, Antonio"

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    Class of quasi fractional analytic functions
    (Elsevier B.V., 2025-12) Camacho, Oscar; Chalco, Ronny; Di Teodoro, Antonio; Gude, Juan José; Vargas, Carlos; Cerda, Adrian; Galán, Josué; Villegas, María
    The document presents a class of quasi-fractional analytic functions, exploring their properties in complex analysis and fractional calculus. Definitions, theorems, and proofs are established that link these functions with concepts such as Gauss's Theorem and the Cauchy-Pompeiu formula. Additionally, the relationship between harmonicity and quasi-fractional analyticity is investigated, also introducing the concept of quasi-generalized fractional analytic functions.
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    A general identification procedure for reduced-order fractional models based on the process reaction curve
    (Elsevier B.V., 2025-12) Gude, Juan José; Di Teodoro, Antonio; Camacho, Oscar; García Bringas, Pablo
    Recent advances in fractional calculus and computation have enabled the development of more accurate and flexible models for industrial process dynamics. Among these, the Fractional First-Order Plus Dead-Time (FFOPDT) and Fractional Dual-Pole Plus Dead-Time (FDPPDT) models have shown notable performance in representing systems with overdamped step responses. This work introduces a unified analytical identification procedure for both models, derived from the process reaction curve obtained through a simple open-loop step test. The proposed methodology is validated through numerical simulations, and the results demonstrate that it achieves comparable or superior performance to existing methods, with the added benefits of analytical simplicity and computational efficiency, making it suitable for industrial applications.
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    An introduction to weighted operators via composition and selected properties, aimed at numerical implementation
    (Elsevier B.V., 2025-12) Camacho, Oscar; Chalco, Ronny; Di Teodoro, Antonio; Gude, Juan José ; Montaluisa, Renato; Vargas, Carlos; Vega, Sebastián; Villegas, María
    This work introduces a novel class of weighted fractional operators constructed through the composition of differential and integral operators. In particular, we propose the operator q¯Dxμ, which generalizes classical fractional derivatives while maintaining essential properties such as linearity. Although the semigroup property and the Leibniz rule do not hold in their traditional forms, we derive analogous formulations by combining the proposed operator with the Riemann-Liouville derivative. Furthermore, a numerical representation based on the Grünwald-Letnikov method is developed, enabling efficient discretization and simulation of the weighted operator in cases where analytical solutions are intractable. The approach also considers the interplay between Laplace transforms and convolutions, which is crucial for real-world applications in control and signal processing.
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    Sliding mode control design using a generalized reduced-order fractional model for chemical processes
    (Elsevier B.V., 2024-12) Gude, Juan José; Di Teodoro, Antonio; Agudelo, D’hamar; Herrera Garzón, Marco Antonio; Rincón, Luis; Camacho, Oscar
    This article presents a comprehensive study that evaluates the potential advantages of adopting a unified, systematic, and organized general fractional model within the Sliding Mode Control (SMC) design framework. The exploration extends to the model's applicability in a variety of disciplines. Although prior research has utilized SMC and fractional-order systems independently, no previous work has established a mathematical framework that integrates a generic fractional-order SMC model. The study addresses this gap and highlights potential implications for control design and applications in a variety of fields, particularly for chemical processes.
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    Ítem
    A unified procedure for the identification of reduced-order fractional models based on the process reaction curve
    (American Institute of Mathematical Sciences, 2026-06-05) Gude, Juan José ; Camacho, Oscar; Di Teodoro, Antonio; García Bringas, Pablo
    This paper introduces a unified analytical method for the identification of fractional reduced-order models, specifically the fractional first-order plus dead time (FFOPDT) and fractional dual-pole plus dead time (FDPPDT) structures, using only three points from the open-loop step response. The method provides explicit parameter-estimation formulas that eliminate the need for iterative optimization, reducing computational effort while preserving the simplicity of traditional reaction-curve techniques. Numerical simulations demonstrate superior accuracy and robustness compared to existing analytical and hybrid techniques, especially for overdamped and S-shaped responses typical of thermal and chemical processes. The method is validated for fractional orders within the range α ∈ [0.5, 1.0], covering the most relevant dynamics observed in practice. Laboratory experiments on a thermal system confirm the model’s applicability under real-world conditions, including measurement noise, limited sensor resolution, and hardware constraints. Because the workflow aligns with standard industrial identification practices and does not require specialized knowledge of fractional calculus, it provides a practical means to incorporate fractional-order modeling into proportional-integral-derivative (PID)-based process control.
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    A Weighted Fractional Order PID controller for nonlinear systems with variable delay
    (Elsevier B.V., 2025-12) Camacho, Oscar; Chalco, Ronny; Di Teodoro, Antonio ; Gude, Juan José ; Montaluisa, Renato; Vargas, Carlos; Vega, Sebastián
    This paper presents a Weighted Fractional Order PID (WFO-PID) controller that enhances the conventional Fractional Order PID (FOPID) structure by introducing explicit weighting factors for the tuning terms. These weights, combined with fractional orders and gain parameters, provide greater flexibility in tuning, enabling for more precise control over system dynamics. The proposed controller is applied to a mixing tank process with variable time delay, a representative case of industrial processes with challenging dynamics. Its performance is benchmarked against both PID and FOPID controllers, demonstrating improved reference tracking and disturbance rejection, particularly under varying delay conditions and noise in the transmitter. The findings highlight the WFO-PID method's efficiency in managing intricate control situations.