IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v35y2008i1p40-58.html
   My bibliography  Save this article

CMAC-based supervisory control for nonlinear chaotic systems

Author

Listed:
  • Lin, Chih-Min
  • Chen, Chiu-Hsiung

Abstract

This study proposes a supervisory control system based on a cerebellar-model-articulation-controller (CMAC) to resolve the tracking control problem of nonlinear chaotic systems. This CMAC-based supervisory control (CSC) system is composed of a CMAC and an H∞ supervisor. CMAC is a main tracking controller that is investigated to mimic a perfect control law and the H∞ supervisor is a supervisory controller that is developed to attenuate the effect of the approximation error between CMAC and the perfect control law. The gradient descent method and H∞ control technique are utilized to derive the on-line parameter tuning laws to achieve favorable tracking performance. Finally, the proposed CSC system is applied to control a Duffing–Holmes chaotic system and a chaotic Chua’s circuit. A comparison between a sliding-mode control and the proposed CSC for these nonlinear chaotic systems are presented. Simulation results show that the proposed CSC scheme can effectively achieve favorable control performance for nonlinear chaotic systems.

Suggested Citation

  • Lin, Chih-Min & Chen, Chiu-Hsiung, 2008. "CMAC-based supervisory control for nonlinear chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 40-58.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:1:p:40-58
    DOI: 10.1016/j.chaos.2006.05.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906004644
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.05.025?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. Chang, Wei-Der & Yan, Jun-Juh, 2005. "Adaptive robust PID controller design based on a sliding mode for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 167-175.
    2. Wang, Jiang & Qiao, Guo-Dong & Deng, Bin, 2005. "Observer-based robust adaptive variable universe fuzzy control for chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1013-1032.
    3. Yan, Jun-Juh & Shyu, Kuo-Kai & Lin, Jui-Sheng, 2005. "Adaptive variable structure control for uncertain chaotic systems containing dead-zone nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 347-355.
    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. Yair Orbach & Gila Fruchter, 2014. "Predicting product life cycle patterns," Marketing Letters, Springer, vol. 25(1), pages 37-52, March.

    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. Sun, Yeong-Jeu, 2008. "A novel methodology for uncertain nonlinear tracking control systems: Exponential convergence manifold approach," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1419-1424.
    2. Falahpoor, M. & Ataei, M. & Kiyoumarsi, A., 2009. "A chattering-free sliding mode control design for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1755-1765.
    3. Jiunn-Shiou Fang & Jason Sheng-Hong Tsai & Jun-Juh Yan & Chang-He Tzou & Shu-Mei Guo, 2019. "Design of Robust Trackers and Unknown Nonlinear Perturbation Estimators for a Class of Nonlinear Systems: HTRDNA Algorithm for Tracker Optimization," Mathematics, MDPI, vol. 7(12), pages 1-20, November.
    4. Maganti, Ganesh B. & Singh, Sahjendra N., 2006. "Output feedback form of Chua’s circuit and modular adaptive control of chaos using single measurement," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 724-738.
    5. Peng, Ya-Fu, 2009. "Robust intelligent backstepping tracking control for uncertain non-linear chaotic systems using H∞ control technique," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2081-2096.
    6. Sun, Yeong-Jeu, 2008. "Composite tracking control for a class of uncertain nonlinear control systems with uncertain deadzone nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 383-389.
    7. Chang, Jen-Fuh & Hung, Meei-Ling & Yang, Yi-Sung & Liao, Teh-Lu & Yan, Jun-Juh, 2008. "Controlling chaos of the family of Rössler systems using sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 609-622.
    8. Shahnazi, Reza & Haghani, Adel & Jeinsch, Torsten, 2015. "Adaptive fuzzy observer-based stabilization of a class of uncertain time-delayed chaotic systems with actuator nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 98-110.
    9. Sun, Yeong-Jeu, 2009. "Robust stability of uncertain T–S fuzzy time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1588-1594.
    10. 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.
    11. Li, Guo-Hui & Zhou, Shi-Ping, 2006. "An observer-based anti-synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 495-498.
    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. 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.
    14. Chen, Chung-Cheng & Hsu, Chao-Hsing & Chen, Ying-Jen & Lin, Yen-Feng, 2007. "Disturbance attenuation of nonlinear control systems using an observer-based fuzzy feedback linearization control," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 885-900.
    15. Chen, Chang-Kuo & Lai, Tsung-Wen & Yan, Jun-Juh & Liao, Teh-Lu, 2009. "Synchronization of two chaotic systems: Dynamic compensator approach," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1055-1063.
    16. Lee, Keum W. & Singh, Sahjendra N., 2007. "Robust control of chaos in Chua’s circuit based on internal model principle," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1095-1107.
    17. Dadras, Sara & Momeni, Hamid Reza, 2010. "Adaptive sliding mode control of chaotic dynamical systems with application to synchronization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(12), pages 2245-2257.
    18. Dadras, Sara & Momeni, Hamid Reza, 2009. "Control uncertain Genesio–Tesi chaotic system: Adaptive sliding mode approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3140-3146.

    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:35:y:2008:i:1:p:40-58. 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.