• DocumentCode
    887404
  • Title

    Methods of solving a polynomial equation for an H∞ optimal control problem for a single-input single-output discrete-time system

  • Author

    Saeki, Masami

  • Author_Institution
    Inst. of Inf. Sci. & Electron., Tsukuba Univ., Ibaraki, Japan
  • Volume
    34
  • Issue
    2
  • fYear
    1989
  • fDate
    2/1/1989 12:00:00 AM
  • Firstpage
    166
  • Lastpage
    168
  • Abstract
    A polynomial equation for the H∞ optimal control problem is reduced to a nonlinear algebraic equation. Two methods are proposed for solving the algebraic equation. One method uses the singularity of a linear algebraic equation as the optimality index. The other gives an approximate solution by solving an eigenvalue problem. A numerical example is presented
  • Keywords
    discrete time systems; eigenvalues and eigenfunctions; optimal control; polynomials; H∞ optimal control; SISO systems; discrete-time system; eigenvalue problem; linear algebraic equation; nonlinear algebraic equation; optimality index; polynomial equation; single-input single-output systems; singularity; Control systems; Cost function; Eigenvalues and eigenfunctions; Feedback; H infinity control; Hydrogen; Nonlinear equations; Optimal control; Polynomials; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.21088
  • Filename
    21088
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=887404