• DocumentCode
    404015
  • Title

    Minimal order polynomial discrete-time SISO H2 and H∞ controller synthesis: summary of the results and existence of solution

  • Author

    Zhao, Haipeng ; Bentsman, Joseph

  • Author_Institution
    Dept. of Mech. & Ind. Eng., Illinois Univ., Urbana, IL, USA
  • Volume
    4
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    3501
  • Abstract
    In a series of recent papers, on the basis of a novel algebraic reduction technique, a new methodology for the computation of the polynomial discrete-time SISO H2 and H∞ controllers has been derived and shown to yield minimal order controllers. However, the existence of the H∞ controller solution has not been addressed. The present paper summarizes the results and presents a method of addressing the existence problem.
  • Keywords
    H∞ control; control system synthesis; discrete time systems; polynomials; H∞ controller synthesis; SISO H2 controller; algebraic reduction technique; discrete time systems; minimal order controllers; minimal order polynomial; single input single output controller; Closed loop systems; Collision mitigation; Cost function; Delay; Industrial engineering; Polynomials; Reflection; Stability; Topology; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1271690
  • Filename
    1271690
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=404015