IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v39y2009i3p1238-1245.html
   My bibliography  Save this article

GCS of a class of chaotic dynamic systems with controller gain variations

Author

Listed:
  • Ahmadi, Ali Akbar
  • Majd, Vahid Johari

Abstract

In this paper, guaranteed cost synchronization (GCS) problem for chaotic dynamic systems with uncertainty in the controller is investigated. Based on the Lyapunov stability theory and LMI (linear matrix inequality) technique, two criteria for the existence of the nonfragile controller for GCS are obtained in terms of LMIs such that the closed-loop error system becomes asymptotically stable and suitable level of performance is guaranteed. Numerical simulation illustrates the feasibility of the proposed control scheme.

Suggested Citation

  • Ahmadi, Ali Akbar & Majd, Vahid Johari, 2009. "GCS of a class of chaotic dynamic systems with controller gain variations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1238-1245.
  • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1238-1245
    DOI: 10.1016/j.chaos.2007.06.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907003670
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2007.06.003?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. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    2. Park, Ju H., 2006. "Synchronization of a class of chaotic dynamic systems with controller gain variations," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1279-1284.
    3. Park, Ju H., 2005. "GCS of a class of chaotic dynamic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1429-1435.
    4. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    5. Jiang, Guo-Ping & Zheng, Wei Xing, 2005. "An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 437-443.
    6. Tavazoei, Mohammad Saleh & Haeri, Mohammad, 2007. "Determination of active sliding mode controller parameters in synchronizing different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 583-591.
    7. Haeri, Mohammad & Emadzadeh, Amir Abbas, 2007. "Synchronizing different chaotic systems using active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 119-129.
    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. Ahmadi, Ali Akbar & Majd, Vahid Johari, 2009. "Robust synchronization of a class of uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1092-1096.

    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. Ahmadi, Ali Akbar & Majd, Vahid Johari, 2009. "Robust synchronization of a class of uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1092-1096.
    2. Wang, Bo & Wen, Guangjun, 2009. "On the synchronization of uncertain master–slave chaotic systems with disturbance," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 145-151.
    3. Mahmoud, Gamal M. & Aly, Shaban A. & Farghaly, Ahmed A., 2007. "On chaos synchronization of a complex two coupled dynamos system," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 178-187.
    4. Park, Ju H., 2006. "Synchronization of a class of chaotic dynamic systems with controller gain variations," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1279-1284.
    5. Tavazoei, Mohammad Saleh & Haeri, Mohammad, 2008. "Synchronization of chaotic fractional-order systems via active sliding mode controller," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 57-70.
    6. Yao, Qijia, 2021. "Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    7. Zhao, Yang & Wang, Wei, 2009. "Chaos synchronization in a Josephson junction system via active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 60-66.
    8. 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).
    9. Naseh, Majid Reza & Haeri, Mohammad, 2009. "Robustness and robust stability of the active sliding mode synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 196-203.
    10. Sun, Yeong-Jeu, 2009. "Exponential synchronization between two classes of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2363-2368.
    11. Yu, Yongguang, 2008. "Adaptive synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 329-333.
    12. Ge, Zheng-Ming & Chang, Ching-Ming & Chen, Yen-Sheng, 2006. "Anti-control of chaos of single time scale brushless dc motors and chaos synchronization of different order systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1298-1315.
    13. Zhao, Yang, 2009. "Synchronization of two coupled systems of J-J type using active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3035-3041.
    14. Zhou, Shuang-Shuang & Jahanshahi, Hadi & Din, Qamar & Bekiros, Stelios & Alcaraz, Raúl & Alassafi, Madini O. & Alsaadi, Fawaz E. & Chu, Yu-Ming, 2021. "Discrete-time macroeconomic system: Bifurcation analysis and synchronization using fuzzy-based activation feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    15. Chen, Hsien-Keng, 2005. "Synchronization of two different chaotic systems: a new system and each of the dynamical systems Lorenz, Chen and Lü," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1049-1056.
    16. Hoang, Thang Manh, 2011. "Complex synchronization manifold in coupled time-delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 48-57.
    17. Park, Ju H., 2009. "Synchronization of cellular neural networks of neutral type via dynamic feedback controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1299-1304.
    18. Suresh, R. & Senthilkumar, D.V. & Lakshmanan, M. & Kurths, J., 2016. "Emergence of a common generalized synchronization manifold in network motifs of structurally different time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 235-245.
    19. Laarem, Guessas, 2021. "A new 4-D hyper chaotic system generated from the 3-D Rösslor chaotic system, dynamical analysis, chaos stabilization via an optimized linear feedback control, it’s fractional order model and chaos sy," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    20. 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.

    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:3:p:1238-1245. 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.