Chattering-free terminal sliding mode control based on adaptive exponential reaching barrier function for a chaotic permanent magnet synchronous generator in offshore wind turbine system

doi:10.1088/1674-1056/add248

中国物理B ›› 2025, Vol. 34 ›› Issue (9): 90501-090501.doi: 10.1088/1674-1056/add248

Chattering-free terminal sliding mode control based on adaptive exponential reaching barrier function for a chaotic permanent magnet synchronous generator in offshore wind turbine system

Aissa Benabdeseelam¹, Manal Messadi¹, Karim Kemih^1,†, Hamid Hamiche²

1 L2EI Laboratory, Jijel University, BP 98 Ouled Aissa, Jijel 18000, Algeria;
2 Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), Mouloud Mammeri University, Tizi-Ouzou, Algeria

收稿日期:2025-03-12 修回日期:2025-04-27 接受日期:2025-04-30 出版日期:2025-08-21 发布日期:2025-09-09
通讯作者: Karim Kemih E-mail:k.kemih@gmail.com
基金资助:
permanent magnet synchronous generator|chaotic system|terminal sliding mode control|exponential reaching|adaptive barrier function|chattering-free|unknown uncertainty

Chattering-free terminal sliding mode control based on adaptive exponential reaching barrier function for a chaotic permanent magnet synchronous generator in offshore wind turbine system

Aissa Benabdeseelam¹, Manal Messadi¹, Karim Kemih^1,†, Hamid Hamiche²

1 L2EI Laboratory, Jijel University, BP 98 Ouled Aissa, Jijel 18000, Algeria;
2 Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP), Mouloud Mammeri University, Tizi-Ouzou, Algeria

Received:2025-03-12 Revised:2025-04-27 Accepted:2025-04-30 Online:2025-08-21 Published:2025-09-09
Contact: Karim Kemih E-mail:k.kemih@gmail.com

摘要/Abstract

摘要： This paper introduces a novel chattering-free terminal sliding mode control (SMC) strategy to address chaotic behavior in permanent magnet synchronous generators (PMSG) for offshore wind turbine systems. By integrating an adaptive exponential reaching law with a continuous barrier function, the proposed approach eliminates chattering and ensures robust performance under model uncertainties. The methodology combines adaptive SMC with dynamic switching to estimate and compensates for unknown uncertainties, providing smooth and stable control. Finally, the performance and effectiveness of the proposed approach are compared with those of a previous study.

关键词: permanent magnet synchronous generator, chaotic system, terminal sliding mode control, exponential reaching, adaptive barrier function, chattering-free, unknown uncertainty

Abstract: This paper introduces a novel chattering-free terminal sliding mode control (SMC) strategy to address chaotic behavior in permanent magnet synchronous generators (PMSG) for offshore wind turbine systems. By integrating an adaptive exponential reaching law with a continuous barrier function, the proposed approach eliminates chattering and ensures robust performance under model uncertainties. The methodology combines adaptive SMC with dynamic switching to estimate and compensates for unknown uncertainties, providing smooth and stable control. Finally, the performance and effectiveness of the proposed approach are compared with those of a previous study.

Key words: permanent magnet synchronous generator, chaotic system, terminal sliding mode control, exponential reaching, adaptive barrier function, chattering-free, unknown uncertainty

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

02.30.Yy (Control theory) 05.45.-a (Nonlinear dynamics and chaos) 05.45.Pq (Numerical simulations of chaotic systems)

Aissa Benabdeseelam, Manal Messadi, Karim Kemih, Hamid Hamiche. Chattering-free terminal sliding mode control based on adaptive exponential reaching barrier function for a chaotic permanent magnet synchronous generator in offshore wind turbine system[J]. 中国物理B, 2025, 34(9): 90501-090501.

参考文献

[1] Tong W 2010 Wind Power Generation and Wind Turbine Design (WIT Press)
[2] Ashuri T, Zaaijer M B, Martins J R, Van Bussel G J and Van Kuik G A 2014 Renew. Energy 68 893
[3] Burton T, Jenkins N, Sharpe D and Bossanyi E 2011 Wind Energy Handbook (John Wiley & Sons)
[4] Mechter A, Kemih K and Ghanes M 2016 Nonlinear Dyn. 84 2435
[5] Rolan A, Luna A, Vazquez G, Aguilar D and Azevedo G 2009 Proc. IEEE Int. Symp. Ind. Electron. 734
[6] Luo N, Vidal Y and Acho L (ed.) 2014 Wind Turbine Control and Monitoring (Springer Int. Publ., Basel)
[7] Li Z, Park J B, Joo Y H, Zhang B and Chen G 2002 IEEE Trans. Circuits Syst. I 49 383
[8] Zheng X, Li H, Song R and Feng Y 2016 Proc. IEEE Conf. Ind. Electron. Appl. 2419
[9] Yu J, Yu H, Chen B, Gao J and Qin Y 2012 Nonlinear Dyn. 70 1879
[10] Maeng G and Choi H H 2013 Nonlinear Dyn. 74 571
[11] Choi H H and Jung J W 2012 Nonlinear Dyn. 67 1717
[12] Choi H H 2012 Nonlinear Dyn. 69 1311
[13] Karimi A, Akbari H, Mousavi S and Beheshtipour Z 2023 Syst. Sci. Control Eng. 11 2207593
[14] Boccaletti S, Grebogi C, Lai Y C, et al. 2000 Phys. Rep. 329 103
[15] Chen Y and Leung A Y T 2012 Bifurcation and Chaos in Engineering (Springer)
[16] Rajagopal K, Karthikeyan A and Duraisamy P 2017 Nonlinear Eng. 6 79
[17] Ott E, Grebogi C and James A 1990 Phys. Rev. Lett. 64 1196
[18] Li H, Liao X, Li C and Li C 2011 Neurocomputing 74 3212
[19] Takhi H, Kemih K, Moysis L, et al. 2021 Math. Comput. Simul. 181 150
[20] Wang S, Yousefpour A, Yusuf A, Jahanshahi H, Alcaraz R, He S and Munoz-Pacheco J M 2020 Entropy 22 271
[21] Ablay G 2009 Nonlinear Anal.: Hybrid Syst. 3 531
[22] Zhang X, Liu X and Zhu Q 2014 Appl. Math. Comput. 232 431
[23] Lin W 2008 Phys. Lett. A 372 3195
[24] Roldán-Caballero A, Pérez-Cruz J H, Hernández-Márquez E et al. 2023 Complexity 2023 2881192
[25] Zhang H, Qin H and Chen G 1998 Int. J. Bifurcat. Chaos 8 2041
[26] JohansyahMD, Sambas A, Vaidyanathan S et al. 2024 Nonlinear Dyn. Syst. Theory 24 275
[27] Kemih K, Halimi M, Ghanes M, et al. 2014 Eur. Phys. J. Spec. Top. 223 1579
[28] Takhi H, Kemih K, Moysis L et al. 2020 Int. J. Dyn. Control 8 973
[29] Kemih K 2009 Chaos Solitons Fractals 41 1897
[30] Takhi H, Kemih K, Moysis L, Volos C, Kemih K and Ghanes M 2020 Int. J. Dyn. Control 8 973
[31] Messadi M, Mellit A, Kemih K, et al. 2014 Nonlinear Phenom. Complex Syst. 17 183
[32] Takhi H, Moysis L, Machkour N, et al. 2022 Eur. Phys. J. Spec. Top. 231 443
[33] Chen J and Shi Y 2021 Philos. Trans. R. Soc. A 379 20200371
[34] Messadi M, Mellit A, Kemih K and Ghanes M 2015 Chin. Phys. B 24 010502
[35] Hamiche H, Kemih K, Ghanes M, et al. 2011 Nonlinear Anal. 74 1146
[36] Kemih K, Kemiha A and Ghanes M 2009 Chaos Solitons Fractals 42 735
[37] Kemih K, Bouraoui H, Messadi M, et al. 2013 Acta Phys. Pol. A 123 193
[38] Shao K, Zheng J, Tang R, Li X, Man Z and Liang B 2022 IEEE/ASME Trans. Mechatronics 27 4258
[39] Laghrouche S, Harmouche M, Chitour Y, Obeid H and Fridman L M 2021 Automatica 123 109355
[40] Mobayen S, Alattas K A and Assawinchaichote W 2021 IEEE Trans. Circuits Syst. I 68 4403
[41] Xiu C and Guo P 2018 IEEE Access 6 49793
[42] Drakunov S V and Utkin V I 1992 Int. J. Control 55 1029
[43] Plestan F, Shtessel Y, Bregeault V and Poznyak A 2010 Int. J. Control 83 1907
[44] Dong Z and Ma J 2020 IEEE Access 8 143359
[45] Sepestanaki M A, Bahmani H, Ali M A, Jalilvand A, Mobayen S and Fekih A 2022 IEEE Access 10 34296
[46] Obeid H, Fridman L M, Laghrouche S and Harmouche M 2018 Automatica 93 540
[47] Sepestanaki M A, Barhaghtalab M H, Mobayen S, Jalilvand A, Fekih A and Skruch P 2022 IEEE Access 10 103469
[48] Mechter A, Kemih K and Ghanes M 2015 Acta Phys. Pol. Hung. 12 167

Chattering-free terminal sliding mode control based on adaptive exponential reaching barrier function for a chaotic permanent magnet synchronous generator in offshore wind turbine system

Chattering-free terminal sliding mode control based on adaptive exponential reaching barrier function for a chaotic permanent magnet synchronous generator in offshore wind turbine system

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