IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/572189.html
   My bibliography  Save this article

Several dissipativity and passivity implications in the linear discrete-time setting

Author

Listed:
  • Eva María Navarro-López

Abstract

Some important features and implications of dissipativity and passivity properties in the discrete-time setting are collected in this paper. These properties are mainly referred to as the stability analysis (feedback stability systems and study of the zero dynamics), the relative degree, the feedback passivity property, and the preservation of passivity under feedback and parallel interconnections. Frequency-domain characteristics are exploited to show some of these properties. The main contribution is the proposal of necessary and sufficient conditions in order to render a multiple-input multiple-output linear discrete-time invariant system passive by means of a static-state feedback and using the properties of the relative degree and zero dynamics of the system. A discrete-time model for the DC-to-DC buck converter is used as an example to illustrate the passivation scheme proposed. In addition, dissipativity frequency-domain properties are related to some feedback stability criteria.

Suggested Citation

  • Eva María Navarro-López, 2005. "Several dissipativity and passivity implications in the linear discrete-time setting," Mathematical Problems in Engineering, Hindawi, vol. 2005, pages 1-18, January.
    • Handle: RePEc:hin:jnlmpe:572189
    DOI: 10.1155/MPE.2005.599
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2005/572189.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2005/572189.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/MPE.2005.599?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
    ---><---

    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:jnlmpe:572189. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.