• DocumentCode
    1467840
  • Title

    Computation of all stabilizing PID gains for digital control systems

  • Author

    Xu, Hao ; Datta, Aniruddha ; Bhattacharyya, S.P.

  • Author_Institution
    Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
  • Volume
    46
  • Issue
    4
  • fYear
    2001
  • fDate
    4/1/2001 12:00:00 AM
  • Firstpage
    647
  • Lastpage
    652
  • Abstract
    This note determines the set of all proportional-integral-derivative (PID) gains that can stabilize a given discrete-time plant of arbitrary order. Utilizing earlier results obtained for the continuous-time case and the bilinear transformation, it is shown that a complete solution can be obtained using linear programming. Several numerical examples are presented to illustrate the procedure
  • Keywords
    digital control; discrete time systems; linear programming; stability; three-term control; LP; bilinear transformation; continuous-time plant; digital control systems; discrete-time plant; linear programming; stabilizing PID gains; Digital control; Dynamic programming; Linear programming; Pi control; Polynomials; Proportional control; Random variables; Stability analysis; Three-term control; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.917670
  • Filename
    917670