IDEAS home Printed from https://ideas.repec.org/a/hin/complx/5790681.html
   My bibliography  Save this article

Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

Author

Listed:
  • Leipo Liu
  • Hao Xing
  • Xiangyang Cao
  • Zhumu Fu
  • Shuzhong Song

Abstract

This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

Suggested Citation

  • Leipo Liu & Hao Xing & Xiangyang Cao & Zhumu Fu & Shuzhong Song, 2018. "Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems," Complexity, Hindawi, vol. 2018, pages 1-8, April.
    • Handle: RePEc:hin:complx:5790681
    DOI: 10.1155/2018/5790681
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2018/5790681.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2018/5790681.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/5790681?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. Jun Cheng & Hong Zhu & Shouming Zhong & Yuping Zhang, 2012. "Robust Stability of Switched Delay Systems with Average Dwell Time under Asynchronous Switching," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, October.
    2. Xudong Zhao & Yunfei Yin & Jun Shen, 2016. "Reset stabilisation of positive linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2773-2782, September.
    3. Dedong Yang & Kai-Yuan Cai, 2011. "Finite-time reliable guaranteed cost fuzzy control for discrete-time nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 121-128.
    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. Guo, Yaxiao & Li, Junmin & Duan, Ruirui, 2021. "Extended dissipativity-based control for persistent dwell-time switched singularly perturbed systems and its application to electronic circuits," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    2. Li, Jinghan & Zhao, Jun, 2022. "Bumpless transfer based event-triggered control for switched linear systems with state-dependent switching," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    3. Sun, Yuangong & Tian, Yazhou, 2022. "Polynomial stability of positive switching homogeneous systems with different degrees," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    4. Zheng, Qunxian & Xu, Shengyuan & Zhang, Zhengqiang, 2020. "Nonfragile H∞ observer design for uncertain nonlinear switched systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    5. Minglai Chen & Junmin Li, 2015. "Non-fragile guaranteed cost control for Takagi–Sugeno fuzzy hyperbolic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(9), pages 1614-1627, July.
    6. Qi, Wenhai & Zong, Guangdeng & Cheng, Jun & Jiao, Ticao, 2019. "Robust finite-time stabilization for positive delayed semi-Markovian switching systems," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 139-152.
    7. Yeguo Sun, 2014. "Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1963-1969, September.
    8. Liang, Mengqian & Tian, Yazhou, 2022. "Practical stability of switched homogeneous positive nonlinear systems: Max-separable Lyapunov function method," Applied Mathematics and Computation, Elsevier, vol. 428(C).

    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:5790681. 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.