• DocumentCode
    807609
  • Title

    Comparison sensitivity of distributed parameter systems

  • Author

    Davis, J. ; Perkins, William R.

  • Author_Institution
    Atlantic Richfield Company, Production Research Center, Plano, TX
  • Volume
    17
  • Issue
    1
  • fYear
    1972
  • fDate
    2/1/1972 12:00:00 AM
  • Firstpage
    100
  • Lastpage
    105
  • Abstract
    System parameter values can vary from their assumed nominal values. These perturbations may alter the performance of a distributed parameter system from the desired nominal performance to an unacceptable degree. To overcome these undesirable effects it may be possible to utilize feedback control in the system to insure that parameter variations alter the system performance with feedback to a lesser degree than an equivalent open-loop system subject to the same perturbations. New results are developed in the form of sufficient conditions to insure that feedback compensation decreases the effects of parameter variations upon the system dynamics for distributed parameter systems described by linear constant-coefficient partial differential equations which may be nonseparable. The theory is applied to two examples, the most significant of which is that of heat exchange between a moving and a stationary medium such as heating material in a through-passage furnace.
  • Keywords
    Distributed systems; Process heating; Sensitivity analysis; Aerospace electronics; Control systems; Cost function; Distributed parameter systems; Eigenvalues and eigenfunctions; Equations; Feedback control; Laboratories; Recursive estimation; System performance;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1099874
  • Filename
    1099874