IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v182y2024ics0960077924003928.html
   My bibliography  Save this article

Modified equivalent input disturbance estimator-based active disturbance rejection for fractional-order T-S fuzzy stochastic systems

Author

Listed:
  • Mohanapriya, S.
  • Crispin Sweety, C. Antony
  • Satheesh, T.
  • Sakthivel, R.
  • Kwon, O.M.

Abstract

With the aid of the modified equivalent-input-disturbance estimator approach, the problems of unified tracking and disturbance rejection control are scrutinized for fractional-order T-S fuzzy stochastic systems. Specifically, multi-periodic modified repetitive control and Matausek-Micic modified Smith predictor techniques are blended in this study to achieve the intended outcomes. Specifically, the modified equivalent-input-disturbance approach estimates the disturbances with high precision and aids in actively eliminating the disturbances from the assayed system. Further, the Matausek-Micic modified Smith predictor technique compensates for the delay occurring in the control input path, paving the way for smooth operation of the system. Subsequently, a set of sufficient criteria in the frame of linear matrix inequalities is established to affirm the intended tracking performance of the system under consideration. Based on the foundation of this criteria, the required gain matrices of the controller and observer can be calculated. Ultimately, the effectiveness and superiority of the suggested control strategy are demonstrated through numerical examples with simulation results.

Suggested Citation

  • Mohanapriya, S. & Crispin Sweety, C. Antony & Satheesh, T. & Sakthivel, R. & Kwon, O.M., 2024. "Modified equivalent input disturbance estimator-based active disturbance rejection for fractional-order T-S fuzzy stochastic systems," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
  • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924003928
    DOI: 10.1016/j.chaos.2024.114840
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924003928
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2024.114840?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. Sakthivel, R. & Saravanakumar, T. & Kaviarasan, B. & Marshal Anthoni, S., 2016. "Dissipativity based repetitive control for switched stochastic dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 340-353.
    2. Mahmoudabadi, Parvin & Tavakoli-Kakhki, Mahsan, 2021. "Tracking control with disturbance rejection of nonlinear fractional order fuzzy systems: Modified repetitive control approach," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    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. Sakthivel, R. & Karthick, S.A. & Kaviarasan, B. & Lim, Yongdo, 2017. "Reliable state estimation of switched neutral system with nonlinear actuator faults via sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 129-147.
    2. Yang, Chengyu & Li, Fei & Kong, Qingkai & Chen, Xiangyong & Wang, Jian, 2021. "Asynchronous fault-tolerant control for stochastic jumping singularly perturbed systems: An H∞ sliding mode control scheme," Applied Mathematics and Computation, Elsevier, vol. 389(C).
    3. Shu, Jingsi & Zhang, Yongping, 2023. "Fractal control and synchronization of population competition model based on the T–S fuzzy model," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    4. Georgiou, F. & Thamwattana, N., 2020. "Modelling phagocytosis based on cell–cell adhesion and prey–predator relationship," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 52-64.
    5. Pishro, Aboozar & Shahrokhi, Mohammad & Mohit, Mohammaderfan, 2023. "Adaptive neural quantized control for fractional-order full-state constrained non-strict feedback systems subject to input fault and nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    6. Huan, Mingchen & Li, Chuandong, 2022. "Stability analysis of state-dependent impulsive systems via a new two-sided looped functional," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    7. Deng, Yalin & Zhang, Huasheng & Dai, Yuzhen & Li, Yuanen, 2022. "Interval stability/stabilization for linear stochastic switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    8. Shen, Mouquan & Ye, Dan, 2017. "A finite frequency approach to control of Markov jump linear systems with incomplete transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 53-64.
    9. Abinandhitha, R. & Sakthivel, R. & Tatar, N. & Manikandan, R., 2022. "Anti-disturbance observer-based control for fuzzy chaotic semi-Markov jump systems with multiple disturbances and mixed actuator failures," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

    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:chsofr:v:182:y:2024:i:c:s0960077924003928. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.