IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v155y2022ics0960077921010894.html
   My bibliography  Save this article

Dynamic analysis, circuit realization and accelerated adaptive backstepping control of the FO MEMS gyroscope

Author

Listed:
  • Luo, Shaohua
  • Yang, Guanci
  • Li, Junyang
  • Ouakad, Hassen M.

Abstract

In this paper, an accelerated adaptive backstepping control problem is investigated for the fractional-order (FO) Micro-electro-mechanical system (MEMS) gyroscope. Its dynamical behaviors are studied through effective tools such as phase diagrams, time histories, Lyapunov exponent, 0-1 test and bifurcation diagram. And its equivalent analog circuits producing regular behaviors as well as complex ones are constructed to further reveal nonlinear dynamics especially chaotic oscillations. In the controller design, the Fourier series and the interval type-2 fuzzy logic system (IT2FLS) are utilized to reconstruct imprecise reference trajectories, and unknown functions are approximated through the IT2FLS with adaptive laws. The speed function is constructed to improve the transient response performance of the FO MEMS gyroscope, and a tracking differentiator (TD) is introduced to solve the problem of ‘explosion of complexity’. Then, an accelerated adaptive backstepping controller integrating the IT2FLS, speed function and TD into the technical framework of backstepping is proposed here. The stability analysis proves that all signals of the closed-loop FO MEMS gyroscope are asymptotically uniformly bounded. Finally, the effectiveness of the proposed control scheme is verified by abundant results.

Suggested Citation

  • Luo, Shaohua & Yang, Guanci & Li, Junyang & Ouakad, Hassen M., 2022. "Dynamic analysis, circuit realization and accelerated adaptive backstepping control of the FO MEMS gyroscope," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010894
    DOI: 10.1016/j.chaos.2021.111735
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921010894
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111735?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. Cui, Li & Lu, Ming & Ou, Qingli & Duan, Hao & Luo, Wenhui, 2020. "Analysis and Circuit Implementation of Fractional Order Multi-wing Hidden Attractors," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Gusso, André & Viana, Ricardo L. & Mathias, Amanda C. & Caldas, Iberê L., 2019. "Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 6-16.
    3. Anand, Pallov & Sharma, Bharat Bhushan, 2020. "Simplified synchronizability scheme for a class of nonlinear systems connected in chain configuration using contraction," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bukhari, Ayaz Hussain & Raja, Muhammad Asif Zahoor & Alquhayz, Hani & Abdalla, Manal Z.M. & Alhagyan, Mohammed & Gargouri, Ameni & Shoaib, Muhammad, 2023. "Design of intelligent hybrid NAR-GRNN paradigm for fractional order VDP chaotic system in cardiac pacemaker with relaxation oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    2. Li, Fengyun & Luo, Shaohua & Yang, Guanci & Ouakad, Hassen M., 2023. "Dynamical analysis and accelerated adaptive backstepping funnel control for dual-mass MEMS gyroscope under event trigger," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

    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. Ebrahimi, Reza, 2022. "Chaos in coupled lateral-longitudinal vibration of electrostatically actuated microresonators," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Sahoo, Shilalipi & Roy, Binoy Krishna, 2022. "Design of multi-wing chaotic systems with higher largest Lyapunov exponent," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Gusso, André & de Mello, Leandro E., 2021. "Fractal dimension of basin boundaries calculated using the basin entropy," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    4. Cui, Li & Luo, Wenhui & Ou, Qingli, 2021. "Analysis of basins of attraction of new coupled hidden attractor system," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    5. Sahoo, Shilalipi & Roy, Binoy Krishna, 2022. "A new multi-wing chaotic attractor with unusual variation in the number of wings," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    6. Alneamy, Ayman M., 2024. "Dynamic snap-through motion and chaotic attractor of electrostatic shallow arch micro-beams," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    7. Fei Yu & Shuai Xu & Yue Lin & Ting He & Chaoran Wu & Hairong Lin, 2024. "Design and Analysis of a Novel Fractional-Order System with Hidden Dynamics, Hyperchaotic Behavior and Multi-Scroll Attractors," Mathematics, MDPI, vol. 12(14), pages 1-22, July.
    8. Cang, Shijian & Zhao, Gehang & Wang, Zenghui & Chen, Zengqiang, 2022. "Global structures of clew-shaped conservative chaotic flows in a class of 3D one-thermostat systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(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:155:y:2022:i:c:s0960077921010894. 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.