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

Kahouli Omar; Maatoug Tarak; Delmotte François; Ali Hammami Mohamed; Ben Ali Naim; Alshammari Mohammad; Kahouli Omar; Maatoug Tarak; Delmotte François; Ali Hammami Mohamed; Ben Ali Naim; Alshammari Mohammad

doi:10.3934/math.2025442

AIMS Mathematics

2025, Volume 10, Issue 4: 9595-9613. doi: 10.3934/math.2025442

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

1.
Department of Electronics Engineering, Applied College, University of Ha'il, Ha'il 2440, Saudi Arabia
2.
Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering, University of Sfax, Tunisia
3.
Laboratory of University of Lille North of France, University of Artois Technoparc Futura, 62400, Be-thune, France
4.
Faculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Tunisia
5.
Department of Industrial Engineering, College of Engineering, University of Ha'il, Ha'il 2440, Saudi Arabia
6.
Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia

Received: 16 January 2025 Revised: 26 March 2025 Accepted: 07 April 2025 Published: 25 April 2025
MSC : 03E72, 93C10, 93C42, 93D15

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.
- fuzzy control nonlinear system,
- non-observer,
- disturbances,
- state estimation,
- convergence and stability
Citation: Kahouli Omar, Maatoug Tarak, Delmotte François, Ali Hammami Mohamed, Ben Ali Naim, Alshammari Mohammad. Analysis and design for a class of fuzzy control nonlinear systems with state observer under disturbances[J]. AIMS Mathematics, 2025, 10(4): 9595-9613. doi: 10.3934/math.2025442

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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.

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