Araştırma Makalesi

Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System

Cilt: 14 28 Temmuz 2026
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Fuzzy Variable Order Sliding Mode Control of Nonlinear MIMO System

Öz

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.

Anahtar Kelimeler

Destekleyen Kurum

Scientific Research Projects Fund of Yüzüncü Yıl University

Proje Numarası

2015-MIM-B101.

Teşekkür

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

Kaynakça

  1. [1]. Samko, S. G., & Ross, B. (1993). Integration and differentiation to a variable fractional order. Integral Transforms and Special Functions, 1(4), 277–300.
  2. [2]. Ross, B., & Samko, S. G. (1995). Fractional integration operator of variable order in the Holder spaces Hλ(x). International Journal of Mathematics and Mathematical Sciences, 18(4), 777–788.
  3. [3]. Samko, S. G. (2013). Fractional integration and differentiation of variable order: An overview. Nonlinear Dynamics, 71(4), 653–662.
  4. [4]. Sierociuk, D., Malesza, W., & Macias, M. (2015). Derivation, interpretation, and analog modelling of fractional variable order derivative definition. Applied Mathematical Modelling, 39(13), 3876–3888.
  5. [5]. Lorenzo, C. F., & Hartley, T. T. (2002). Variable order and distributed order fractional operators. Nonlinear Dynamics, 29(1–4), 57–98.
  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Elektrik Mühendisliği (Diğer)

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

28 Temmuz 2026

Gönderilme Tarihi

30 Temmuz 2025

Kabul Tarihi

30 Eylül 2025

Yayımlandığı Sayı

Yıl 2026 Cilt: 14

Kaynak Göster

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 (Temmuz). https://doi.org/10.17694/bajece.1754194.
EndNote
Atan Ö (01 Temmuz 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, c. 14, Tem. 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 (01 Temmuz 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, c. 14, Temmuz 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. 01 Temmuz 2026;14. doi:10.17694/bajece.1754194

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