Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances

Jiake Sun; Junmin Wang

doi:10.1109/CCDC58219.2023.10327437

Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances

Jiake Sun^*, Junmin Wang

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

1 引用（Scopus）

摘要

In this paper, we consider the input-to-state stabilization of a fractional-order ODE-PDE cascaded system with disturbances in all channels. By applying the backstepping method and sliding mode control approach, we design a discontinuous feedback control to reject the matched disturbances. The existence of the generalized solution of the closed-loop system is proved by Galerkin's method. The input-to-state Mittag-Leffler stability of closed-loop system is proven by Lyapunov method. Finally, we present some numerical simulations to show the correctness of the theoretical results.

源语言	英语
主期刊名	Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023
出版商	Institute of Electrical and Electronics Engineers Inc.
页	383-388
页数	6
ISBN（电子版）	9798350334722
DOI	https://doi.org/10.1109/CCDC58219.2023.10327437
出版状态	已出版 - 2023
活动	35th Chinese Control and Decision Conference, CCDC 2023 - Yichang, 中国期限: 20 5月 2023 → 22 5月 2023

出版系列

姓名	Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

会议

会议	35th Chinese Control and Decision Conference, CCDC 2023
国家/地区	中国
市	Yichang
时期	20/05/23 → 22/05/23

访问文件

10.1109/CCDC58219.2023.10327437

其它文件与链接

链接到 Scopus 的出版物

引用此

Sun, J., & Wang, J. (2023). Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances. 在 Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023 (页码 383-388). (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC58219.2023.10327437

Sun, Jiake ; Wang, Junmin. / Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances. Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Institute of Electrical and Electronics Engineers Inc., 2023. 页码 383-388 (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023).

@inproceedings{c35504e4be204a7885c8a9bc26419781,

title = "Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances",

abstract = "In this paper, we consider the input-to-state stabilization of a fractional-order ODE-PDE cascaded system with disturbances in all channels. By applying the backstepping method and sliding mode control approach, we design a discontinuous feedback control to reject the matched disturbances. The existence of the generalized solution of the closed-loop system is proved by Galerkin's method. The input-to-state Mittag-Leffler stability of closed-loop system is proven by Lyapunov method. Finally, we present some numerical simulations to show the correctness of the theoretical results.",

keywords = "backstepping method, fractional-order cascaded system, input-to-state stability, sliding mode control",

author = "Jiake Sun and Junmin Wang",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 35th Chinese Control and Decision Conference, CCDC 2023 ; Conference date: 20-05-2023 Through 22-05-2023",

year = "2023",

doi = "10.1109/CCDC58219.2023.10327437",

language = "English",

series = "Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "383--388",

booktitle = "Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023",

address = "United States",

}

Sun, J & Wang, J 2023, Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances. 在 Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023, Institute of Electrical and Electronics Engineers Inc., 页码 383-388, 35th Chinese Control and Decision Conference, CCDC 2023, Yichang, 中国, 20/05/23. https://doi.org/10.1109/CCDC58219.2023.10327437

Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances. / Sun, Jiake; Wang, Junmin.
Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Institute of Electrical and Electronics Engineers Inc., 2023. 页码 383-388 (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances

AU - Sun, Jiake

AU - Wang, Junmin

PY - 2023

Y1 - 2023

N2 - In this paper, we consider the input-to-state stabilization of a fractional-order ODE-PDE cascaded system with disturbances in all channels. By applying the backstepping method and sliding mode control approach, we design a discontinuous feedback control to reject the matched disturbances. The existence of the generalized solution of the closed-loop system is proved by Galerkin's method. The input-to-state Mittag-Leffler stability of closed-loop system is proven by Lyapunov method. Finally, we present some numerical simulations to show the correctness of the theoretical results.

AB - In this paper, we consider the input-to-state stabilization of a fractional-order ODE-PDE cascaded system with disturbances in all channels. By applying the backstepping method and sliding mode control approach, we design a discontinuous feedback control to reject the matched disturbances. The existence of the generalized solution of the closed-loop system is proved by Galerkin's method. The input-to-state Mittag-Leffler stability of closed-loop system is proven by Lyapunov method. Finally, we present some numerical simulations to show the correctness of the theoretical results.

KW - backstepping method

KW - fractional-order cascaded system

KW - input-to-state stability

KW - sliding mode control

UR - http://www.scopus.com/inward/record.url?scp=85181797756&partnerID=8YFLogxK

U2 - 10.1109/CCDC58219.2023.10327437

DO - 10.1109/CCDC58219.2023.10327437

M3 - Conference contribution

AN - SCOPUS:85181797756

T3 - Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

SP - 383

EP - 388

BT - Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 35th Chinese Control and Decision Conference, CCDC 2023

Y2 - 20 May 2023 through 22 May 2023

ER -

Sun J, Wang J. Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances. 在 Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Institute of Electrical and Electronics Engineers Inc. 2023. 页码 383-388. (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023). doi: 10.1109/CCDC58219.2023.10327437

Sliding mode control to stabilization of a fractional ODE and a fractional PDE cascaded systems subject to disturbances

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