IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v5y1957i4p546-550.html
   My bibliography  Save this article

A Model for Optimum Control of Stochastic Sampled-Data Systems

Author

Listed:
  • Albert B. Bishop

    (Operations Research Group, The Ohio State University, Columbus, Ohio)

Abstract

A model is developed for a sampled-data feedback control system for processes having randomly-distributed outputs or involving measurement techniques that introduce a significant component of variance in the measured values of the controlled variable. The principal development concerns a simple proportional control system with fixed proportionality constant. An acceptable range for the constant is determined from stability criteria for the case of a normally-distributed output with constant process variance and is observed to coincide with well-known servo-mechanism design principles. The method of derivation involves successive operations on the normal probability density function. The effects on system response (time constant), oscillatory tendencies, and system variance of various values of the constant (within the acceptable range) are discussed. Finally, two classes of criterion functions are mentioned, from which optimum values of the proportionality constant can be determined. The first involves fixed tolerances on individual items of output, and the second treats costs that are functions of the deviation between desired and actual outputs.

Suggested Citation

  • Albert B. Bishop, 1957. "A Model for Optimum Control of Stochastic Sampled-Data Systems," Operations Research, INFORMS, vol. 5(4), pages 546-550, August.
    • Handle: RePEc:inm:oropre:v:5:y:1957:i:4:p:546-550
    DOI: 10.1287/opre.5.4.546
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.5.4.546
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.5.4.546?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:inm:oropre:v:5:y:1957:i:4:p:546-550. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.