IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n154383.html

An Adaptive Fuzzy Sliding Mode Control Design for a Class of Uncertain Horizontal Platform Systems

Author

Listed:
  • Wei Xiang
  • Xiejin Liu

Abstract

This paper presents an adaptive fuzzy sliding mode control design for a class of uncertain horizontal platform systems (HPSs). Firstly, a nonsingular terminal sliding surface is proposed for HPSs. Then, a fuzzy logic system is introduced to estimate the system uncertainties. The adaptive fuzzy sliding mode controller can guarantee the stability of the closed‐loop system. The corresponding numerical simulations are demonstrated to verify the effectiveness of the proposed method.

Suggested Citation

  • Wei Xiang & Xiejin Liu, 2014. "An Adaptive Fuzzy Sliding Mode Control Design for a Class of Uncertain Horizontal Platform Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:154383
    DOI: 10.1155/2014/154383
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/154383
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/154383?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
    ---><---

    References listed on IDEAS

    as
    1. Chen, Maoyin & Zhou, Donghua & Shang, Yun, 2005. "A new observer-based synchronization scheme for private communication," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1025-1030.
    2. Ge, Zheng-Ming & Jhuang, Wei-Ren, 2007. "Chaos, control and synchronization of a fractional order rotational mechanical system with a centrifugal governor," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 270-289.
    3. Chen, Yun & Wu, Xiaofeng & Liu, Zhong, 2009. "Global chaos synchronization of electro-mechanical gyrostat systems via variable substitution control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1197-1205.
    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. Sendren Sheng-Dong Xu, 2014. "Super‐Twisting‐Algorithm‐Based Terminal Sliding Mode Control for a Bioreactor System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    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. Longfei Lin & Yansheng Liu & Daliang Zhao, 2021. "Study on Implicit-Type Fractional Coupled System with Integral Boundary Conditions," Mathematics, MDPI, vol. 9(4), pages 1-15, February.
    2. Nazim I Mahmudov & Sameer Bawaneh & Areen Al-Khateeb, 2019. "On a Coupled System of Fractional Differential Equations with Four Point Integral Boundary Conditions," Mathematics, MDPI, vol. 7(3), pages 1-14, March.
    3. Deng, Hongmin & Li, Tao & Wang, Qionghua & Li, Hongbin, 2009. "A fractional-order hyperchaotic system and its synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 962-969.
    4. Yunhao Chu & Yansheng Liu, 2023. "Exact Controllability for a Class of Fractional Semilinear System of Order 1," Journal of Applied Mathematics, John Wiley & Sons, vol. 2023(1).
    5. Chen, Maoyin & Zhou, Donghua & Shang, Yun, 2005. "A sliding mode observer based secure communication scheme," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 573-578.
    6. Zhang, Bai & Chen, Maoyin & Zhou, Donghua, 2006. "Chaotic secure communication based on particle filtering," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1273-1280.
    7. Chunlai Li & Jing Zhang, 2016. "Synchronisation of a fractional-order chaotic system using finite-time input-to-state stability," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2440-2448, July.
    8. Ahmad, Bashir & Ntouyas, Sotiris K. & Alsaedi, Ahmed, 2016. "On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 234-241.
    9. Longfei Lin & Yansheng Liu & Daliang Zhao, 2021. "Controllability of Impulsive ψ -Caputo Fractional Evolution Equations with Nonlocal Conditions," Mathematics, MDPI, vol. 9(12), pages 1-14, June.
    10. Yu, Yongguang & Li, Han-Xiong, 2008. "The synchronization of fractional-order Rössler hyperchaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1393-1403.
    11. Lien, Chang-Hua & Cheng, Wen-Chin & Tsai, Che-Hung & Yu, Ker-Wei, 2007. "Non-fragile observer-based controls of linear system via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1530-1537.
    12. Lien, Chang-Hua, 2007. "H∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 428-436.
    13. Hung, Meei-Ling & Yan, Jun-Juh & Liao, Teh-Lu, 2008. "Generalized projective synchronization of chaotic nonlinear gyros coupled with dead-zone input," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 181-187.
    14. Yan, Jun-Juh & Lin, Jui-Sheng & Liao, Teh-Lu, 2008. "Synchronization of a modified Chua’s circuit system via adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 45-52.
    15. Yan, Jun-Juh & Yang, Yi-Sung & Chiang, Tsung-Ying & Chen, Ching-Yuan, 2007. "Robust synchronization of unified chaotic systems via sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 947-954.
    16. Zhu, Fanglai, 2009. "Observer-based synchronization of uncertain chaotic system and its application to secure communications," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2384-2391.
    17. Handa, Himesh & Sharma, B.B., 2016. "Novel adaptive feedback synchronization scheme for a class of chaotic systems with and without parametric uncertainty," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 50-63.
    18. Surendar, R. & Muthtamilselvan, M. & Ahn, Kyubok, 2024. "Stochastic disturbance with finite-time chaos stabilization and synchronization for a fractional-order nonautonomous hybrid nonlinear complex system via a sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    19. Grassi, Giuseppe, 2009. "Observer-based hyperchaos synchronization in cascaded discrete-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1029-1039.
    20. Li, Demin & Wang, Zidong & Zhou, Jie & Fang, Jian’an & Ni, Jinjin, 2008. "A note on chaotic synchronization of time-delay secure communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1217-1224.

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnlaaa:v:2014:y:2014:i:1:n:154383. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.