• DocumentCode
    2101704
  • Title

    H∞ control: inverse free formulae for D11 ≠0 and eliminating pole-zero cancellations via interpolation

  • Author

    Goh, K.C. ; Safonov, M.G.

  • Author_Institution
    Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
  • fYear
    1993
  • fDate
    15-17 Dec 1993
  • Firstpage
    1152
  • Abstract
    Inverse free matrix pencil/descriptor form formulae for the two-Riccati solution of the suboptimal ℋ∞ problem for the case 0⩽σ¯(D11)<γ are presented and are used to provide a complete analysis of ℋ∞ plant/controller pole/zero cancellation phenomena. Using matrix Nevalinna-Pick interpolation theory, we further provide a method that enables us to generate a ℋ∞ controller that selectively avoids cancelling plant poles/zeros
  • Keywords
    interpolation; matrix algebra; optimal control; poles and zeros; H∞ control; inverse free formulae; inverse-free matrix pencil/descriptor form formulae; matrix Nevalinna-Pick interpolation theory; pole-zero cancellation elimination; suboptimal H∞ problem; two-Riccati solution; Closed-form solution; Cost function; Flexible structures; Information analysis; Interpolation; Open loop systems; Optimal control; Poles and zeros; State-space methods; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
  • Conference_Location
    San Antonio, TX
  • Print_ISBN
    0-7803-1298-8
  • Type

    conf

  • DOI
    10.1109/CDC.1993.325364
  • Filename
    325364
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2101704