IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v227y2025icp149-167.html
   My bibliography  Save this article

Robust anti-disturbance interval type-2 fuzzy control for interconnected nonlinear PDE systems via conjunct observer

Author

Listed:
  • Song, Xiaona
  • Zheng, Danjing
  • Song, Shuai
  • Stojanovic, Vladimir
  • Tejado, Inés

Abstract

This paper investigates a robust anti-disturbance interval type-2 (IT2) fuzzy control for interconnected nonlinear partial differential equation (PDE) systems subject to parameter uncertainties by the conjunct observer. First, an IT2 fuzzy model is adopted to remodel the target system. Second, a state observer with mismatched premise variables is constructed to solve the problem that the original system and the observer do not share a uniform premise variable. Moreover, a disturbance observer is designed to estimate the unknown external disturbances, which can be modeled by exogenous PDE systems. Then, utilizing the conjunct observation information, an anti-disturbance IT2 fuzzy control strategy is proposed to attenuate the effect of disturbances on the system performance while ensuring that the closed-loop system is stable. Finally, simulation results verify the effectiveness of the proposed method.

Suggested Citation

  • Song, Xiaona & Zheng, Danjing & Song, Shuai & Stojanovic, Vladimir & Tejado, Inés, 2025. "Robust anti-disturbance interval type-2 fuzzy control for interconnected nonlinear PDE systems via conjunct observer," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 149-167.
    • Handle: RePEc:eee:matcom:v:227:y:2025:i:c:p:149-167
    DOI: 10.1016/j.matcom.2024.07.039
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475424003021
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2024.07.039?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Aghaseyedabdollah, Mohammadhossein & Abedi, Mostafa & Pourgholi, Mahdi, 2024. "Interval type-2 fuzzy sliding mode control for a cable-driven parallel robot with elastic cables using metaheuristic optimization methods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 435-461.
    2. Lunhaojie Liu & Juntao Fei & Xianghua Yang, 2023. "Adaptive Interval Type-2 Fuzzy Neural Network Sliding Mode Control of Nonlinear Systems Using Improved Extended State Observer," Mathematics, MDPI, vol. 11(3), pages 1-20, January.
    3. Zhang, Ziyu & Yang, Xinsong & Lam, Hak-Keung & Xiang, Zhengrong, 2024. "Event-triggered control for switched systems with sensor faults via adaptive fuzzy observer," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 244-259.
    4. Zhu, Linhe & Chen, Siyi & Shen, Shuling, 2024. "Pattern dynamics analysis of a reaction–diffusion network propagation model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 425-444.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rakkiyappan, R. & Sharmila, V. & Janani, K. & Kashkynbayev, Ardak, 2024. "Stabilization of Takagi–Sugeno fuzzy Hidden Markov Jump Systems with memory sampled-data control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 204-217.
    2. Patricia Ochoa & Cinthia Peraza & Patricia Melin & Oscar Castillo & Seungmin Park & Zong Woo Geem, 2024. "Enhancing Control Systems through Type-3 Fuzzy Logic Optimization," Mathematics, MDPI, vol. 12(12), pages 1-15, June.
    3. Yutong Bao & Changqing Du & Dongmei Wu & Huan Liu & Wei Liu & Jun Li, 2023. "Coordinated Slip Control of Multi-Axle Distributed Drive Vehicle Based on HLQR," Mathematics, MDPI, vol. 11(8), pages 1-18, April.
    4. Ali Karami-Mollaee & Oscar Barambones, 2024. "On Neural Observer in Dynamic Sliding Mode Control of Permanent Magnet Synchronous Wind Generator," Mathematics, MDPI, vol. 12(14), pages 1-18, July.
    5. Bingjie Zhang & Jian Wang & Xiaoling Gong & Zhanglei Shi & Chao Zhang & Kai Zhang & El-Sayed M. El-Alfy & Sergey V. Ablameyko, 2023. "First-Order Sparse TSK Nonstationary Fuzzy Neural Network Based on the Mean Shift Algorithm and the Group Lasso Regularization," Mathematics, MDPI, vol. 12(1), pages 1-14, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:227:y:2025:i:c:p:149-167. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.