IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v39y2009i4p1943-1949.html
   My bibliography  Save this article

Adaptive control and synchronization of a four-dimensional energy resources system with unknown parameters

Author

Listed:
  • Sun, Mei
  • Tian, Lixin
  • Jia, Qiang

Abstract

This paper is involved with control and synchronization of a new four-dimensional energy resources system with unknown parameters. Based on the Lyapunov stability theorem, by designed adaptive controllers and parameter update laws, this system is stabilized to unstable equilibrium and synchronizations between two systems with different unknown system parameters are realized Numerical simulations are given for the purpose of illustration and verification.

Suggested Citation

  • Sun, Mei & Tian, Lixin & Jia, Qiang, 2009. "Adaptive control and synchronization of a four-dimensional energy resources system with unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1943-1949.
  • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1943-1949
    DOI: 10.1016/j.chaos.2007.06.117
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907004742
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2007.06.117?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. Sun, Mei & Tian, Lixin & Fu, Ying, 2007. "An energy resources demand–supply system and its dynamical analysis," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 168-180.
    2. Sun, Mei & Jia, Qiang & Tian, Lixin, 2009. "A new four-dimensional energy resources system and its linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 101-108.
    3. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.
    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. Yu, Yongguang, 2008. "Adaptive synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 329-333.
    2. Zhu, Jianhua & Peng, Yan & Gong, Zhuping & Sun, Yanming & Lai, Chaoan & Wang, Qing & Zhu, Xiaojun & Gan, Zhongxue, 2019. "Dynamic analysis of SNG and PNG supply: The stability and robustness view #," Energy, Elsevier, vol. 185(C), pages 717-729.
    3. J. Humberto Pérez-Cruz & Pedro A. Tamayo-Meza & Maricela Figueroa & Ramón Silva-Ortigoza & Mario Ponce-Silva & R. Rivera-Blas & Mario Aldape-Pérez, 2019. "Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, July.
    4. Sun, Mei & Tian, Lixin & Jiang, Shumin & Xu, Jun, 2007. "Feedback control and adaptive control of the energy resource chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1725-1734.
    5. Zhang, Ting & Wang, Jiang & Fei, Xiangyang & Deng, Bin, 2007. "Synchronization of coupled FitzHugh–Nagumo systems via MIMO feedback linearization control," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 194-202.
    6. Liu, Yong & Ren, Guodong & Zhou, Ping & Hayat, Tasawar & Ma, Jun, 2019. "Synchronization in networks of initially independent dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 370-380.
    7. Yassen, M.T., 2008. "Synchronization hyperchaos of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 465-475.
    8. Chen, Heng-Hui, 2009. "Chaos control and global synchronization of Liu chaotic systems using linear balanced feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 466-473.
    9. Li, Lixiang & Peng, Haipeng & Yang, Yixian & Wang, Xiangdong, 2009. "On the chaotic synchronization of Lorenz systems with time-varying lags," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 783-794.
    10. Yu, Yongguang & Li, Han-Xiong & Duan, Jian, 2009. "Chaos synchronization of a unified chaotic system via partial linearization," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 457-463.
    11. Sun, Mei & Jia, Qiang & Tian, Lixin, 2009. "A new four-dimensional energy resources system and its linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 101-108.
    12. Li, Xiuchun & Xu, Wei & Li, Ruihong, 2009. "Chaos synchronization of the energy resource system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 642-652.
    13. Sharma, B.B. & Kar, I.N., 2009. "Contraction theory based adaptive synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2437-2447.
    14. Sharma, B.B. & Kar, I.N., 2009. "Parametric convergence and control of chaotic system using adaptive feedback linearization," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1475-1483.
    15. Cui, Yan & Liu, Suhua & Tang, Jiashi & Meng, Yimin, 2009. "Amplitude control of limit cycles in Langford system," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 335-340.
    16. Verichev, Nikolai N. & Verichev, Stanislav N. & Wiercigroch, Marian, 2009. "Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 752-763.
    17. Tian, Lixin & Xu, Jun & Sun, Mei & Li, Xiuming, 2009. "On a new time-delayed feedback control of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 831-839.
    18. Sabarathinam Srinivasan & Suresh Kumarasamy & Zacharias E. Andreadakis & Pedro G. Lind, 2023. "Artificial Intelligence and Mathematical Models of Power Grids Driven by Renewable Energy Sources: A Survey," Energies, MDPI, vol. 16(14), pages 1-56, July.
    19. Kocamaz, Uğur Erkin & Cevher, Barış & Uyaroğlu, Yılmaz, 2017. "Control and synchronization of chaos with sliding mode control based on cubic reaching rule," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 92-98.
    20. Chen, Heng-Hui & Lee, Ching-I & Yang, Pao-Hwa, 2009. "Adaptive synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 598-606.

    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:eee:chsofr:v:39:y:2009:i:4:p:1943-1949. 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.