IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v122y2019icp236-244.html
   My bibliography  Save this article

A novel track control for Lorenz system with single state feedback

Author

Listed:
  • Gao, Richie

Abstract

In this paper, by using single state feedback, a novel tracking control method is proposed for Lorenz systems. Under the proposed control law, the chaotic behaviours of the Lorenz system can be suppressed, and the system states can track the pre-set values. Distinguishable from the literature, the tracking references are not needed to satisfy certain constraints. Therefore, the proposed tracking control method is more applicable. For the Lorenz system subjected to parameter perturbations and noises, a genetic algorithm based robust track control design is addressed so that the track errors are robust against the perturbations/noises. The effectiveness of the proposed algorithm is well demonstrated by intensive simulated studies.

Suggested Citation

  • Gao, Richie, 2019. "A novel track control for Lorenz system with single state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 236-244.
    • Handle: RePEc:eee:chsofr:v:122:y:2019:i:c:p:236-244
    DOI: 10.1016/j.chaos.2019.02.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077919300682
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2019.02.008?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. Shen, Zhiping & Li, Juntao, 2017. "Chaos control for a unified chaotic system using output feedback controllers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 208-219.
    2. Yau, Her-Terng & Chen, Chieh-Li, 2007. "Chaos control of Lorenz systems using adaptive controller with input saturation," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1567-1574.
    3. Runzi Luo & Haipeng Su & Yanhui Zeng, 2017. "Chaos Control and Synchronization via Switched Output Control Strategy," Complexity, Hindawi, vol. 2017, pages 1-11, January.
    4. Peng, Chao-Chung & Chen, Chieh-Li, 2008. "Robust chaotic control of Lorenz system by backstepping design," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 598-608.
    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. Dali, Ali & Abdelmalek, Samir & Bakdi, Azzeddine & Bettayeb, Maamar, 2023. "A class of PSO-tuned controllers in Lorenz chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 430-449.
    2. Fu, Shihui & Liu, Yuan & Ma, Huizhen & Du, Ying, 2020. "Control chaos to different stable states for a piecewise linear circuit system by a simple linear control," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    3. Mahmoudabadi, Parvin & Tavakoli-Kakhki, Mahsan, 2021. "Tracking control with disturbance rejection of nonlinear fractional order fuzzy systems: Modified repetitive control approach," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

    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. Jin, Maolin & Chang, Pyung Hun, 2009. "Simple robust technique using time delay estimation for the control and synchronization of Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2672-2680.
    2. Qijia Yao & Hadi Jahanshahi & Stelios Bekiros & Jinping Liu & Abdullah A. Al-Barakati, 2023. "Fixed-Time Adaptive Chaotic Control for Permanent Magnet Synchronous Motor Subject to Unknown Parameters and Perturbations," Mathematics, MDPI, vol. 11(14), pages 1-14, July.
    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. Asemani, Mohammad Hassan & Majd, Vahid Johari, 2009. "Stability of output-feedback DPDC-based fuzzy synchronization of chaotic systems via LMI," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1126-1135.
    5. Belokolos, E.D. & Kharchenko, V.O. & Kharchenko, D.O., 2009. "Chaos in a generalized Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2595-2605.
    6. Bo Liu & Ningsheng Xu & Housheng Su & Licheng Wu & Jiahui Bai, 2019. "On the Observability of Leader-Based Multiagent Systems with Fixed Topology," Complexity, Hindawi, vol. 2019, pages 1-10, November.
    7. Bo Wang & L. L. Chen, 2019. "New Results on the Control for a Kind of Uncertain Chaotic Systems Based on Fuzzy Logic," Complexity, Hindawi, vol. 2019, pages 1-8, March.
    8. Haghighatdar, F. & Ataei, M., 2009. "Adaptive set-point tracking of the Lorenz chaotic system using non-linear feedback," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1938-1945.
    9. 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.
    10. Wei, Zhouchao & Akgul, Akif & Kocamaz, Uğur Erkin & Moroz, Irene & Zhang, Wei, 2018. "Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 157-168.
    11. Huang, Yao & Bao, Haibo, 2020. "Master-slave synchronization of complex-valued delayed chaotic Lur’e systems with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    12. Dali, Ali & Abdelmalek, Samir & Bakdi, Azzeddine & Bettayeb, Maamar, 2023. "A class of PSO-tuned controllers in Lorenz chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 430-449.
    13. González, Graciela Adriana & Nielsen, Christopher & Bortoff, Zachary, 2022. "Attractivity of unstable equilibria for a controlled Chen system via small output feedback," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    14. Zhang, Yinping & Sun, Jitao, 2009. "Impulsive robust fault-tolerant feedback control for chaotic Lur’e systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1440-1446.

    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:122:y:2019:i:c:p:236-244. 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.