Fractional Transformation-Based Decentralized Robust Control of a Coupled-Tank System for Industrial Applications

Author:

Rahman Muhammad Z. U.1ORCID,Leiva Victor2ORCID,Ghaffar Asim1ORCID,Martin-Barreiro Carlos34ORCID,Waleed Aashir5ORCID,Cabezas Xavier6ORCID,Castro Cecilia7ORCID

Affiliation:

1. Department of Mechanical, Mechatronics and Manufacturing Engineering, University of Engineering and Technology Lahore, Faisalabad Campus, Faisalabad 38000, Pakistan

2. School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile

3. Faculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral ESPOL, Guayaquil 090902, Ecuador

4. Faculty of Engineering, Universidad Espíritu Santo, Samborondón 0901952, Ecuador

5. Department of Electrical, Electronics and Telecommunication Engineering, University of Engineering and Technology Lahore, Faisalabad Campus, Faisalabad 38000, Pakistan

6. Centro de Estudios e Investigaciones Estadísticas, Escuela Superior Politécnica del Litoral ESPOL, Guayaquil 090902, Ecuador

7. Centre of Mathematics, Universidade do Minho, 4710-057 Braga, Portugal

Abstract

Petrochemical and dairy industries, waste management, and paper manufacturing fall under the category of process industries where flow and liquid control are essential. Even when liquids are mixed or chemically treated in interconnected tanks, the fluid and flow should constantly be observed and controlled, especially when dealing with nonlinearity and imperfect plant models. In this study, we propose a nonlinear dynamic multiple-input multiple-output (MIMO) plant model. This model is then transformed through linearization, a technique frequently utilized in the analysis and modeling of fractional processes, and decoupling for decentralized fixed-structure H-infinity robust control design. Simulation tests based on MATLAB and SIMULINK are subsequently executed. Numerous assessments are conducted to evaluate tracking performance, external disturbance rejection, and plant parameter fluctuations to gauge the effectiveness of the proposed model. The objective of this work is to provide a framework that anticipates potential outcomes, paving the way for implementing a reliable controller synthesis for MIMO-connected tanks in real-world scenarios.

Funder

FONDECYT

CMAT—Research Centre of Mathematics of University of Minho

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference27 articles.

1. Debottlenecking level control for tanks in series;Singh;J. Process Control,2014

2. Antimisiaris, S.G., Kallinteri, P., and Fatouros, D.G. (2008). Pharmaceutical Manufacturing Handbook: Production and Processes, Wiley.

3. Performance Comparison between PI and MRAC for Coupled-Tank System;Saad;J. Autom. Control Eng.,2014

4. Tepljakov, A., Petlenkov, E., Belikov, J., and Halas, M. (2013, January 17–19). Design and implementation of fractional-order PID controllers for a fluid tank system. Proceedings of the 2013 American Control Conference, Washington, DC, USA.

5. Development of PID Controller for Controlling Desired Level of Coupled Tank System;Jaafar;Int. J. Innov. Technol. Explor. Eng.,2014

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