IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/214320.html
   My bibliography  Save this article

Robust control of discrete-time hybrid systems with uncertain modal dynamics

Author

Listed:
  • Thordur Runolfsson

Abstract

We study systems that are subject to sudden structural changes due to either changes in the operational mode of the system or failure. We consider linear dynamicalsystems that depend on a modal variable which is either modeled as a finite-state Markov chain or generated by an automaton that is subject to an external disturbance. In the Markov chain case, the objective of the control is to minimize a risk-sensitive cost functional. The risk-sensitive cost functional measures the risk sensitivity of the system to transitions caused by the random modal variable. In the case when a disturbed automaton describes the modal variable, the objective of the control is to make the system as robust to changes in the external disturbance as possible. Optimality conditions for both problems are derived and it is shown that the disturbance rejection problem is closely related to a certain risk-sensitive control problem for the hybrid system.

Suggested Citation

  • Thordur Runolfsson, 2004. "Robust control of discrete-time hybrid systems with uncertain modal dynamics," Mathematical Problems in Engineering, Hindawi, vol. 2004, pages 1-12, January.
    • Handle: RePEc:hin:jnlmpe:214320
    DOI: 10.1155/S1024123X04404050
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2004/214320.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2004/214320.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S1024123X04404050?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:214320. 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.