Research Article

Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System

Volume: 14 July 28, 2026
TR EN

Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System

Abstract

In this study, a fuzzy variable graded Sliding Mode Controller has been designed for a twin rotor multi-input multi-output system (TRMS). The main purpose of this study is to change the sliding surface of the sliding mode controller which is adaptively designed as variable order with the help of fuzzy logic and also to investigate the effect of the designed control method on the performance of a MIMO system. The effects of sliding surface degree on the system performance shows different effects depending on the error. The gain and the order of the sliding surface affect the overshoot and the reach time. If the sliding surface is small, the rise time of the system increases and the overshoot decreases. In consideration of this information, system performance increases when the gain and order of sliding surface is changed according as error and error change. When examining the obtained results of the simulation and application, it is seen that this method improves performance index such as overshoot, rise time and settlement time.

Keywords

Supporting Institution

Scientific Research Projects Fund of Yüzüncü Yıl University

Project Number

2015-MIM-B101.

Thanks

This study was supported by the Scientific Research Projects Fund of Yüzüncü Yıl University under grant number 2015-MIM-B101.

References

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  6. [6]. Tavares, D., Almeida, R., & Torres, D. F. M. (2016). Caputo derivatives of fractional variable order: Numerical approximations. Communications in Nonlinear Science and Numerical Simulation, 35, 69–87.
  7. [7]. Zhao, X., Sun, Z., & Karniadakis, G. E. (2015). Second-order approximations for variable order fractional derivatives: Algorithms and applications. Journal of Computational Physics, 293, 184–200.
  8. [8]. Dabiri, A., Moghaddam, B. P., & Machado, J. A. T. (2018). Optimal variable-order fractional PID controllers for dynamical systems. Journal of Computational and Applied Mathematics, 339, 40–48.

Details

Primary Language

English

Subjects

Electrical Engineering (Other)

Journal Section

Research Article

Publication Date

July 28, 2026

Submission Date

July 30, 2025

Acceptance Date

September 30, 2025

Published in Issue

Year 2026 Volume: 14

APA
Atan, Ö. (2026). Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System. Balkan Journal of Electrical and Computer Engineering, 14. https://doi.org/10.17694/bajece.1754194
AMA
1.Atan Ö. Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System. Balkan Journal of Electrical and Computer Engineering. 2026;14. doi:10.17694/bajece.1754194
Chicago
Atan, Özkan. 2026. “Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System”. Balkan Journal of Electrical and Computer Engineering 14 (July). https://doi.org/10.17694/bajece.1754194.
EndNote
Atan Ö (July 1, 2026) Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System. Balkan Journal of Electrical and Computer Engineering 14
IEEE
[1]Ö. Atan, “Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System”, Balkan Journal of Electrical and Computer Engineering, vol. 14, July 2026, doi: 10.17694/bajece.1754194.
ISNAD
Atan, Özkan. “Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System”. Balkan Journal of Electrical and Computer Engineering 14 (July 1, 2026). https://doi.org/10.17694/bajece.1754194.
JAMA
1.Atan Ö. Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System. Balkan Journal of Electrical and Computer Engineering. 2026;14. doi:10.17694/bajece.1754194.
MLA
Atan, Özkan. “Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System”. Balkan Journal of Electrical and Computer Engineering, vol. 14, July 2026, doi:10.17694/bajece.1754194.
Vancouver
1.Özkan Atan. Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System. Balkan Journal of Electrical and Computer Engineering. 2026 Jul. 1;14. doi:10.17694/bajece.1754194

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