IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n793276.html

On Distributed Reduced‐Order Observer‐Based Protocol for Linear Multiagent Consensus under Switching Topology

Author

Listed:
  • Yan Zhang
  • Lixin Gao
  • Changfei Tong

Abstract

We discuss linear multiagent systems consensus problem with distributed reduced‐order observer‐based protocol under switching topology. We use Jordan decomposition method to prove that the proposed protocols can solve consensus problem under directed fixed topology. By constructing a parameter‐dependent common Lyapunov function, we prove that the distributed reduced‐order observer‐based protocol can also solve the continuous‐time multi‐agent consensus problem under the undirected switching interconnection topology. Then, we investigate the leader‐following consensus problem and propose a reduced‐order observer‐based protocol for each following agent. By using similar analysis method, we can prove that all following agents can track the leader under a class of directed interaction topologies. Finally, the given simulation example also shows the effectiveness of our obtained result.

Suggested Citation

  • Yan Zhang & Lixin Gao & Changfei Tong, 2013. "On Distributed Reduced‐Order Observer‐Based Protocol for Linear Multiagent Consensus under Switching Topology," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:793276
    DOI: 10.1155/2013/793276
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/793276
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/793276?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. Yuangong Sun, 2012. "Mean Square Consensus for Uncertain Multiagent Systems with Noises and Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Yuangong Sun, 2012. "Mean Square Consensus for Uncertain Multiagent Systems with Noises and Delays," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, April.
    3. Hongjie Li, 2012. "Observer‐Type Consensus Protocol for a Class of Fractional‐Order Uncertain Multiagent Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Hongjie Li, 2012. "Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, October.
    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. Bingbing Xu & Lixin Gao & Yan Zhang & Xiaole Xu, 2013. "Leader‐Following Consensus Stability of Discrete‐Time Linear Multiagent Systems with Observer‐Based Protocols," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

    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. Bingbing Xu & Lixin Gao & Yan Zhang & Xiaole Xu, 2013. "Leader‐Following Consensus Stability of Discrete‐Time Linear Multiagent Systems with Observer‐Based Protocols," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Jing Bai & Guoguang Wen & Ahmed Rahmani & Yongguang Yu, 2015. "Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(13), pages 2380-2392, October.
    3. Jing Bai & Guoguang Wen & Ahmed Rahmani & Xing Chu & Yongguang Yu, 2016. "Consensus with a reference state for fractional-order multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 222-234, January.

    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:wly:jnlaaa:v:2013:y:2013:i:1:n:793276. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.