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Research Article | Open Access

Analysis and design for a class of fuzzy control nonlinear systems with state observer under disturbances

Kahouli Omar1( )Maatoug Tarak2Delmotte François3Ali Hammami Mohamed4Ben Ali Naim5Alshammari Mohammad6
Department of Electronics Engineering, Applied College, University of Ha'il, Ha'il 2440, Saudi Arabia
Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering, University of Sfax, Tunisia
Laboratory of University of Lille North of France, University of Artois Technoparc Futura, 62400, Be-thune, France
Faculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Tunisia
Department of Industrial Engineering, College of Engineering, University of Ha'il, Ha'il 2440, Saudi Arabia
Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia
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Abstract

The stabilization problem of a class of fuzzy systems with particular uncertainty restrictions is addressed in this paper using an observer design. We construct a fuzzy controller that ensures the Takagi-Sugeno fuzzy systems' uncertain solutions will converge. The ability to examine the convergence of trajectories using an estimated state controller towards a certain region of the origin that defines the system's asymptotic behavior is one benefit of the methodology employed in this work. Additionally, we provide an example to demonstrate the primary result's validity.

CLC number: 03E72, 93C10, 93C42, 93D15

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AIMS Mathematics
Pages 9595-9613

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Cite this article:
Omar K, Tarak M, François D, et al. Analysis and design for a class of fuzzy control nonlinear systems with state observer under disturbances. AIMS Mathematics, 2025, 10(4): 9595-9613. https://doi.org/10.3934/math.2025442

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Received: 16 January 2025
Revised: 26 March 2025
Accepted: 07 April 2025
Published: 15 April 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)