IDEAS home Printed from https://ideas.repec.org/a/hin/complx/1027909.html
   My bibliography  Save this article

Robust Control for Nonlinear Uncertain Switched Descriptor Systems with Time Delay and Nonlinear Input: A Sliding Mode Approach

Author

Listed:
  • Mourad Kchaou
  • Saleh Al Ahmadi

Abstract

This paper addresses the problem of sliding mode control (SMC) design for a class of uncertain switched descriptor systems with state delay and nonlinear input. An integral sliding function is designed and an adaptive sliding mode controller for the reaching motion is then synthesised such that the trajectories of the resulting closed-loop system can be driven onto a prescribed sliding surface and maintained there for all subsequent times. Moreover, based on a new Lyapunov-Krasovskii functional, a delay-dependent sufficient condition is established such that the admissibility as well as the performance requirement of the sliding mode dynamics can be guaranteed in the presence of time delay, external disturbances, and nonlinear input which comprises dead-zones and/or sector nonlinearities. The major contributions of this paper of this approach include (i) the closed-loop system exhibiting strong robustness against nonlinear dynamics and (ii) the control scheme enjoying the chattering-free characteristic. Finally, two representative examples are given to illustrate the theoretical developments.

Suggested Citation

  • Mourad Kchaou & Saleh Al Ahmadi, 2017. "Robust Control for Nonlinear Uncertain Switched Descriptor Systems with Time Delay and Nonlinear Input: A Sliding Mode Approach," Complexity, Hindawi, vol. 2017, pages 1-14, June.
    • Handle: RePEc:hin:complx:1027909
    DOI: 10.1155/2017/1027909
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2017/1027909.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2017/1027909.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/1027909?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
    ---><---

    References listed on IDEAS

    as
    1. Yu, Qiang & Zhao, Xudong, 2016. "Stability analysis of discrete-time switched linear systems with unstable subsystems," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 718-725.
    2. Mourad Kchaou & Ahmed El-Hajjaji, 2017. "Resilient sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 288-301, January.
    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. Obaid Alshammari & Mourad Kchaou & Houssem Jerbi & Sondess Ben Aoun & Víctor Leiva, 2022. "A Fuzzy Design for a Sliding Mode Observer-Based Control Scheme of Takagi-Sugeno Markov Jump Systems under Imperfect Premise Matching with Bio-Economic and Industrial Applications," Mathematics, MDPI, vol. 10(18), pages 1-28, September.
    2. Shih-Yu Li & Chin-Sheng Chen & Lap-Mou Tam & Shun-Hung Tsai, 2017. "Novel Fuzzy-Modeling-Based Adaptive Synchronization of Nonlinear Dynamic Systems," Complexity, Hindawi, vol. 2017, pages 1-8, March.
    3. Yu, Qiang & Lv, Hao, 2020. "The new stability criteria of discrete-time switched systems with an improved mode dependent average dwell time approach," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    4. Wang, Yijing & Zou, Yanchao & Zuo, Zhiqiang & Li, Hongchao, 2016. "Finite-time stabilization of switched nonlinear systems with partial unstable modes," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 172-181.
    5. Zhou, Lei & Ding, Hui & Xiao, Xiaoqing, 2021. "Input-to-state stability of discrete-time switched nonlinear systems with generalized switching signals," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    6. Xiao, Xiaoqing & Park, Ju H. & Zhou, Lei, 2018. "Event-triggered control of discrete-time switched linear systems with packet losses," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 344-352.

    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:hin:complx:1027909. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.