IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v79y2008i3p409-415.html
   My bibliography  Save this article

Impulsive control for T–S fuzzy model-based chaotic systems

Author

Listed:
  • Zhong, Qishui
  • Bao, Jingfu
  • Yu, Yongbin
  • Liao, Xiaofeng

Abstract

This paper provides an impulsive control scheme for chaotic systems based on their Takagi–Sugeno (T–S) fuzzy models. Firstly, we utilize a T–S fuzzy model to represent a chaotic system. Secondly, using comparison methods, a general asymptotical stability criteria is derived for chaotic systems with impulsive effects. Finally, as an illustrative example, Lorenz system is considered to verify the effectiveness of the control scheme.

Suggested Citation

  • Zhong, Qishui & Bao, Jingfu & Yu, Yongbin & Liao, Xiaofeng, 2008. "Impulsive control for T–S fuzzy model-based chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 409-415.
  • Handle: RePEc:eee:matcom:v:79:y:2008:i:3:p:409-415
    DOI: 10.1016/j.matcom.2008.01.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475408000104
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2008.01.027?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, Jitao, 2004. "Impulsive control of a new chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(6), pages 669-677.
    2. Zhang, Hongbin & Liao, Xiaofeng & Yu, Juebang, 2005. "Fuzzy modeling and synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 835-843.
    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. Tao Wu & Jinde Cao & Lianglin Xiong & Haiyang Zhang, 2019. "New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control," Complexity, Hindawi, vol. 2019, pages 1-15, November.
    2. Liu, Yang & Zhao, Shouwei, 2011. "T–S fuzzy model-based impulsive control for chaotic systems and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(11), pages 2507-2516.
    3. Zhang, Yu, 2017. "Global exponential stability of delay difference equations with delayed impulses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 183-194.

    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. Zhang, Xiaohong & Khadra, Anmar & Li, Dong & Yang, Dan, 2009. "Impulsive stability of chaotic systems represented by T-S model," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1863-1869.
    2. Feng, Yuhu & Hu, Liangjian, 2006. "On the quasi-controllability of continuous-time dynamic fuzzy control systems," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 177-188.
    3. Khastan, A. & Ivaz, K., 2009. "Numerical solution of fuzzy differential equations by Nyström method," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 859-868.
    4. Senouci, Abdelkader & Boukabou, Abdelkrim, 2014. "Predictive control and synchronization of chaotic and hyperchaotic systems based on a T–S fuzzy model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 105(C), pages 62-78.
    5. Coelho, Leandro dos Santos & Araujo, Ernesto, 2009. "Identification of the Hénon chaotic map by fuzzy modeling and Nelder–Mead simplex method," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2762-2772.
    6. Coelho, Leandro dos Santos & Bernert, Diego Luis de Andrade, 2009. "PID control design for chaotic synchronization using a tribes optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 634-640.
    7. Runzi, Luo & Zhengmin, Wei, 2009. "Adaptive function projective synchronization of unified chaotic systems with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1266-1272.
    8. Dehghan, Mehdi & Hashemi, Behnam & Ghatee, Mehdi, 2007. "Solution of the fully fuzzy linear systems using iterative techniques," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 316-336.
    9. Chalco-Cano, Y. & Román-Flores, H., 2008. "On new solutions of fuzzy differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 112-119.
    10. Nieto, Juan J. & Rodríguez-López, Rosana, 2006. "Bounded solutions for fuzzy differential and integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1376-1386.
    11. Yu, Hengguo & Zhong, Shouming & Ye, Mao, 2009. "Dynamic analysis of an ecological model with impulsive control strategy and distributed time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(3), pages 619-632.
    12. Zhang, Xiaohong & Liao, Xiaofeng & Li, Chuandong, 2005. "Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 845-854.
    13. Shirkavand, Mehrdad & Pourgholi, Mahdi & Yazdizadeh, Alireza, 2022. "Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    14. Zhong, Qishui & Bao, Jingfu & Yu, Yongbin & Liao, Xiaofeng, 2009. "Exponential stabilization for discrete Takagi–Sugeno fuzzy systems via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2123-2127.
    15. P. Prakash & V. Kalaiselvi, 2012. "Numerical solutions of fuzzy differential equations by using hybrid methods," Fuzzy Information and Engineering, Springer, vol. 4(4), pages 445-455, December.
    16. Zhang, Xiaohong & Khadra, Anmar & Yang, Dan & Li, Dong, 2009. "Analysis and design for unified exponential stability of three different impulsive T–S fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1559-1566.
    17. Pang, Guoping & Chen, Lansun, 2008. "Dynamic analysis of a pest-epidemic model with impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(1), pages 72-84.
    18. Xinggui Li & Ruofeng Rao & Xinsong Yang, 2022. "Impulsive Stabilization on Hyper-Chaotic Financial System under Neumann Boundary," Mathematics, MDPI, vol. 10(11), pages 1-18, May.
    19. Yan, Zhenya & Yu, Pei, 2007. "Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 419-435.
    20. Hu, Manfeng & Yang, Yongqing & Xu, Zhenyuan & Guo, Liuxiao, 2008. "Hybrid projective synchronization in a chaotic complex nonlinear system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 449-457.

    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:79:y:2008:i:3:p:409-415. 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.