Robust Control Framework Based on Input-Output Models Enhanced with Uncertainty Estimation

Mariana RODRIGUEZ-JARA¹, Hilario FLORES-MEJIA¹, Alejandra VELASCO-PEREZ², Hector PUEBLA¹*
¹ Universidad Autónoma Metropolitana Azcapotzalco, Av. San Pablo 180, Azcapotzalco, 02200, México
marianarodriguez0940j@gmail.com, hpuebla@azc.uam.mx (*Corresponding author)
² Universidad Veracruzana Orizaba, Orizaba, México
alvelasco@uv.mx

Abstract: A versatile and simple robust model-based control framework for regulating a class of (bio)-chemical processes is introduced. The proposed control framework departs from a simple low-order model which is enhanced by estimating model uncertainties due to model reduction, uncertain model parameters, and external disturbances. Three robust model-based control schemes are then formulated based on the enhanced simple input-output model. The proposed robust framework provides the robustness of two well-known model-based control approaches using a simple low-order model. A benchmark model of microalgae production is employed for illustrating the controller performance. Moreover, a classical PI controller and a nonlinear MPC controller are also designed and applied for comparison purposes. Numerical results show that the proposed simple robust model-based controllers are able to regulate the controlled variable to the desired reference despite external disturbances and set-point changes. Furthermore, the proposed controllers feature an acceptable performance in comparison with two of the most widely accepted controllers in the control engineering community for controlling (bio)- chemical processes.

Keywords: Robust control, Model-based control, Input-output models, State observers, (Bio)-chemical processes.

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CITE THIS PAPER AS:
Mariana RODRIGUEZ-JARA, Hilario FLORES-MEJIA, Alejandra VELASCO-PEREZ, Hector PUEBLA, Robust Control Framework Based on Input-Output Models Enhanced with Uncertainty Estimation, Studies in Informatics and Control, ISSN 1220-1766, vol. 30(1), pp. 99-108, 2021. https://doi.org/10.24846/v30i1y202109