• DocumentCode
    1268867
  • Title

    Multiloop PI/PID controller design based on Gershgorin bands

  • Author

    Chen, D. ; Seborg, D.E.

  • Author_Institution
    Dept. of Chem. Eng., California Univ., Santa Barbara, CA, USA
  • Volume
    149
  • Issue
    1
  • fYear
    2002
  • fDate
    1/1/2002 12:00:00 AM
  • Firstpage
    68
  • Lastpage
    73
  • Abstract
    A new definition of the ultimate point is proposed for diagonally dominant, MIMO systems. Analytical formulas are developed for the new ultimate gains and ultimate frequencies based on the system frequency response and Gershgorin bands. Decentralised PI and PID controllers with set-point weighting factors can be tuned by using a modified version of the Ziegler-Nichols (ZN) relations. The proposed design method is simple and easy to implement. Three simulation examples compare the performance of the proposed multiloop design method with alternative techniques
  • Keywords
    MIMO systems; control system synthesis; controllers; frequency response; three-term control; two-term control; Gershgorin bands; MIMO systems; PI/PID control; frequency response; multiloop control systems; multiloop design; ultimate frequencies; ultimate gains;
  • fLanguage
    English
  • Journal_Title
    Control Theory and Applications, IEE Proceedings -
  • Publisher
    iet
  • ISSN
    1350-2379
  • Type

    jour

  • DOI
    10.1049/ip-cta:20020092
  • Filename
    993583