• DocumentCode
    2183326
  • Title

    A method for decentralized control design in spatially invariant arrays

  • Author

    De Castro, Gustavo Ayres ; Paganini, Fernando

  • Author_Institution
    Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
  • Volume
    1
  • fYear
    2003
  • fDate
    4-6 June 2003
  • Firstpage
    125
  • Abstract
    In this paper, we derive an integral quadratic constraint (IQC) that proves stability of a spatially invariant array of systems. The IQC involves only the expression of a local system (unit) in the array, and is equivalent to a scaled small gain condition in a transformed version of the local unit. This IQC is used to develop a method based on the D-K iteration to design decentralized controllers for stabilizing the array.
  • Keywords
    Fourier transforms; control system synthesis; decentralised control; iterative methods; linear quadratic control; stability; D-K iteration; Fourier transform; decentralized controller; integral quadratic constraint; local system; scaled small gain condition; spatially invariant arrays; stability; transformed version; Bismuth; Centralized control; Control systems; Design methodology; Distributed control; Lyapunov method; Paper making machines; Stability analysis; State-space methods; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2003. Proceedings of the 2003
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-7896-2
  • Type

    conf

  • DOI
    10.1109/ACC.2003.1238925
  • Filename
    1238925