• DocumentCode
    1061764
  • Title

    Periodic orbits from Δ-modulation of stable linear systems

  • Author

    Xia, Xiaohua ; Zinober, Alan S I

  • Author_Institution
    Dept. of Electr., Univ. of Pretoria, South Africa
  • Volume
    49
  • Issue
    8
  • fYear
    2004
  • Firstpage
    1376
  • Lastpage
    1380
  • Abstract
    The Δ-modulated control of a single input, discrete time, linear stable system is investigated. The modulation direction is given by cTx where c ∈Rn/{0} is a given, otherwise arbitrary, vector. We obtain necessary and sufficient conditions for the existence of periodic points of a finite order. Some concrete results about the existence of a certain order of periodic points are also derived. We also study the relationship between certain polyhedra and the periodicity of the Δ-modulated orbit.
  • Keywords
    delta modulation; discrete time systems; linear systems; stability; time-varying systems; variable structure systems; Δ-modulated control; discrete time system; periodic orbits; periodicity; polyhedra; single input system; stable linear systems; Africa; Communication system control; Control systems; Councils; Eigenvalues and eigenfunctions; Feedback; Linear systems; Mathematics; Orbits; Robust control; Delta-modulation; periodic points; polyhedra; sliding-mode control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2004.832664
  • Filename
    1323181
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1061764