Modeling of a Hydraulic System Using the Takagi-Sugeno Model and Parametric Optimization with the Levenberg-Marquardt Algorithm


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Authors

  • Kamel MERAHI Echahid Cheikh Larbi Tebessi University
  • Abdelaziz AOUICHE Echahid Cheikh Larbi Tebessi University
  • Abdelghani DJEDDI Echahid Cheikh Larbi Tebessi University

DOI:

https://doi.org/10.5281/zenodo.14957434

Keywords:

Nonlinear System, Takagi-Sugeno Multi-Model, Identification, Levenberg-Marquardt Algorithm, Hydraulic System, Coupled-Tank System

Abstract

Process industries have long faced the challenge of liquid level control. The performance of a
control system largely depends on the accuracy of the mathematical model used to predict its dynamic
behavior. This paper presents the development of a Takagi-Sugeno fuzzy model for a coupled-tank
system, based on a linearization technique. Furthermore, the Marquardt-Levenberg optimization
algorithm was employed to identify the parameters of the Takagi-Sugeno model. Finally, a comparison
between the nonlinear model and the identified model was conducted, demonstrating satisfactory results.

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Author Biographies

Kamel MERAHI, Echahid Cheikh Larbi Tebessi University

Department of Electrical Engineering, Algeria

Abdelaziz AOUICHE , Echahid Cheikh Larbi Tebessi University

Department of Electrical Engineering,  Algeria

Abdelghani DJEDDI , Echahid Cheikh Larbi Tebessi University

Department of Electrical Engineering, Algeria

References

T. L. Mien, “Liquid level control of coupled-tank system using fuzzy-PID controller,” International Journal of

Engineering Research & Technology, vol. 6, no. 11, pp. 459-464, November, 2017

R. Jovanović, V. Zarić, M. Vesović, L. Laban “Modeling and Control of a Liquid Level System Based on the Takagi-Sugeno Fuzzy Model Using the Whale Optimization Algorithm”, IcEtran, Belgrade, Serbia, 2020,

Takagi & Sugeno, Fuzzy Modeling Approach to Complex Systems, IEEE Transactions on Systems, 1985.

K. Levenberg, A Method for the Solution of Certain Non-Linear Problems, Quarterly Journal of Applied Mathematics, 1944.

D. Marquardt, An Algorithm for Least-Squares Estimation of Nonlinear Parameters, Journal of the Society for Industrial and Applied Mathematics, 1963.

R. Murray-Smith et T.A. Johansen. Multiple model approaches to modelling and control. Taylor & Francis, London, 1997.

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Published

2025-02-28

How to Cite

MERAHI, K., AOUICHE , A., & DJEDDI , A. (2025). Modeling of a Hydraulic System Using the Takagi-Sugeno Model and Parametric Optimization with the Levenberg-Marquardt Algorithm . International Journal of Advanced Natural Sciences and Engineering Researches, 9(3), 69–75. https://doi.org/10.5281/zenodo.14957434

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