IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v47y2016i6p1296-1311.html
   My bibliography  Save this article

Design of block backstepping controllers for a class of perturbed multiple inputs and state-delayed systems in semi-strict-feedback form

Author

Listed:
  • Yan-Si Lin
  • Chih-Chiang Cheng

Abstract

Based on the Lyapunov stability theorem, an adaptive block backstepping control scheme is proposed in this paper for a class of multi-input systems with mismatched multiple state-delayed perturbations to solve regulation problems. The traditional backstepping control method is modified so that it can be directly applied to systems in block semi-strict-feedback form. The terms in the dynamic equations which do not satisfy the block strict-feedback form are accumulated in the last design step and are suppressed effectively by the adaptive gains, so that the property of asymptotic stability is achieved. Adaptive mechanisms are employed in each of the virtual input controllers as well as the robust controller, hence the least upper bounds of perturbations are not required to be known in advance. A numerical example and a practical application are also given for demonstrating the feasibility of the proposed control scheme.

Suggested Citation

  • Yan-Si Lin & Chih-Chiang Cheng, 2016. "Design of block backstepping controllers for a class of perturbed multiple inputs and state-delayed systems in semi-strict-feedback form," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1296-1311, April.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1296-1311
    DOI: 10.1080/00207721.2014.924216
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2014.924216
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2014.924216?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. Ali Koshkouei & Keith Burnham, 2011. "Adaptive backstepping sliding mode control for feedforward uncertain systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(12), pages 1935-1946.
    2. Ching-Hung Lee & Bo-Ren Chung, 2012. "Adaptive backstepping controller design for nonlinear uncertain systems using fuzzy neural systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(10), pages 1855-1869.
    3. Ruicheng Ma & Jun Zhao & Georgi Dimirovski, 2013. "Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 615-624.
    4. Tian-Ping Zhang & Qing Zhu & Yue-Quan Yang, 2012. "Adaptive neural control of non-affine pure-feedback non-linear systems with input nonlinearity and perturbed uncertainties," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(4), pages 691-706.
    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. Yongming Li & Shaocheng Tong, 2016. "Adaptive fuzzy switched control design for uncertain nonholonomic systems with input nonsmooth constraint," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3436-3446, October.
    2. J.L. Pitarch & A. Sala & J. Lauber & T.M. Guerra, 2016. "Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1176-1184, April.
    3. Yinyin Xu & Shaocheng Tong & Yongming Li, 2015. "Adaptive fuzzy decentralised fault-tolerant control for nonlinear large-scale systems with actuator failures and unmodelled dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2195-2209, September.
    4. Toshio Yoshimura, 2015. "Design of a simplified adaptive fuzzy backstepping control for uncertain discrete-time nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 763-775, April.
    5. Jang-Hyun Park & Tae-Sik Park & Seong-Hwan Kim, 2019. "Approximation-Free Output-Feedback Non-Backstepping Controller for Uncertain SISO Nonautonomous Nonlinear Pure-Feedback Systems," Mathematics, MDPI, vol. 7(5), pages 1-11, May.
    6. Xinjin Liu & Yun Zou, 2014. "The global convergence analysis of a class of nonlinear network systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 970-976, May.
    7. Hao Yang & Wenjing Ren & Bin Jiang, 2017. "On stability of switched nonlinear systems with time-scaling transformation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2120-2127, July.
    8. Liang Liu & Yifan Zhang, 2017. "Decentralised output-feedback control for a class of large-scale stochastic high-order upper-triangular nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 838-848, March.
    9. Tarek Abedin & M. Shahadat Hossain Lipu & Mahammad A. Hannan & Pin Jern Ker & Safwan A. Rahman & Chong Tak Yaw & Sieh K. Tiong & Kashem M. Muttaqi, 2021. "Dynamic Modeling of HVDC for Power System Stability Assessment: A Review, Issues, and Recommendations," Energies, MDPI, vol. 14(16), pages 1-25, August.
    10. Hyoung Oh Kim & Sung Jin Yoo, 2017. "Approximation-based disturbance observer approach for adaptive tracking of uncertain pure-feedback nonlinear systems with unmatched disturbances," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(8), pages 1775-1786, June.

    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:taf:tsysxx:v:47:y:2016:i:6:p:1296-1311. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.