IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i5p810-d763441.html
   My bibliography  Save this article

Stability Analysis and Synthesis for 2-D Switched Systems with Random Disturbance

Author

Listed:
  • Fei Meng

    (Department of System Science, University of Shanghai for Science and Technology, Shanghai 200093, China)

  • Xuyu Shen

    (Department of System Science, University of Shanghai for Science and Technology, Shanghai 200093, China)

  • Xiaofeng Li

    (Department of Information and Computing Science, Huaiyin Institute of Technology, Huai’an 223001, China)

Abstract

In this paper, the stability analysis and controller design of two-dimensional (2-D) switched system with random disturbances are studied. First, based on the Fornasini–Marchesini local state space model, a random discrete 2-D switched system model is proposed. Secondly, based on the method of switching quadratic Lyapunov function, Schur complement and linear matrix inequality the criterion of the sufficiency of the asymptotically stable under any switching signal is established. The extended average residence time method is used to obtain a sufficient criterion of the mean square exponential stability of the random discrete 2-D switched system under restricted switching conditions. According to the stability analysis results, the conditions for the existence of the state feedback controller are given and the corresponding state feedback controller is designed. Finally, two examples are given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Fei Meng & Xuyu Shen & Xiaofeng Li, 2022. "Stability Analysis and Synthesis for 2-D Switched Systems with Random Disturbance," Mathematics, MDPI, vol. 10(5), pages 1-18, March.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:810-:d:763441
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/5/810/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/5/810/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Abdellah Benzaouia & Abdelaziz Hmamed & Fernando Tadeo & Ahmed EL Hajjaji, 2011. "Stabilisation of discrete 2D time switching systems by state feedback control," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(3), pages 479-487.
    2. Huiying Liu & Lijun Gao & Zhenyue Wang & Zihan Liu, 2021. "Asynchronous l2 – l∞ filtering of discrete-time impulsive switched systems with admissible edge-dependent average dwell time switching signal," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(8), pages 1564-1585, June.
    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. Manuel De la Sen & Asier Ibeas, 2022. "On Some Properties of a Class of Eventually Locally Mixed Cyclic/Acyclic Multivalued Self-Mappings with Application Examples," Mathematics, MDPI, vol. 10(14), pages 1-29, July.

    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. Guangchen Zhang & Weiqun Wang, 2017. "Finite-region stability and boundedness for discrete 2D Fornasini–Marchesini second models," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 778-787, March.
    2. Imran Ghous & Zhengrong Xiang, 2016. "control of a class of 2-D continuous switched delayed systems via state-dependent switching," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(2), pages 300-313, January.

    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:gam:jmathe:v:10:y:2022:i:5:p:810-:d:763441. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.