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Open AccessArticle

Fractional Sliding Mode Nonlinear Procedure for Robust Control of an Eutrophying Microalgae Photobioreactor

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Conacyt-Tecnológico Nacional de Mexico\Instituto Tecnológico de Culiacán, 80220 Culiacán Rosales, Mexico
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Center for Research and Innovation (CRI), Viña Concha y Toro, 3550000 Pencahue, Chile
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Chemical and Bioprocess Engineering Department, Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, Macul, Santiago, Chile
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Department of Electrical Engineering, Center for Research and Advanced Studies of the National Polytechnic Institute (Cinvestav), 07360 Ciudad de Mexico, Mexico
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Department of Electrical Engineering and Advanced Mining Technology Center (AMTC), University of Chile, Av. Tupper 2007, Santiago, Chile: [email protected]
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Author to whom correspondence should be addressed.
Algorithms 2020, 13(3), 50; https://doi.org/10.3390/a13030050
Received: 16 December 2019 / Revised: 21 February 2020 / Accepted: 22 February 2020 / Published: 26 February 2020
(This article belongs to the Special Issue Theory and Applications of Fractional Order Systems and Signals II)
This paper proposes a fractional-order sliding mode controller (FOSMC) for the robust control of a nonlinear process subjected to unknown parametric disturbances. The controller aims to ensure optimal growth in photobioreactors of native microalgae involved in eutrophication of the Sinaloa rivers in Mexico. The controller design is based on the Caputo fractional integral-order derivative and on the convergence properties of a sliding surface. For nonlinear systems, the proposed FOSMC guarantees convergence to the sliding surface even in the presence of model disturbances. The proposed controller is compared to an Internal Model Control (IMC) through numerical simulations. View Full-Text
Keywords: fractional-order control; sliding modes; stabilization; trajectory tracking; eutrophication control fractional-order control; sliding modes; stabilization; trajectory tracking; eutrophication control
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MDPI and ACS Style

Rodríguez-Mata, A.E.; Luna, R.; Pérez-Correa, J.R.; Gonzalez-Huitrón, A.; Castro-Linares, R.; Duarte-Mermoud, M.A. Fractional Sliding Mode Nonlinear Procedure for Robust Control of an Eutrophying Microalgae Photobioreactor. Algorithms 2020, 13, 50.

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