• DocumentCode
    2767990
  • Title

    Generalized H2/H∞ control: general formulas

  • Author

    Rotea, Mario A. ; Iwasaki, Tetsuya

  • Author_Institution
    Sch. of Aeronaut. & Astronaut., Purdue Univ., West Lafayette, IN, USA
  • Volume
    3
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    3158
  • Abstract
    This paper presents a solution to a control problem with H2 and H∞ design specifications. Under a minimal set of assumptions, the authors give formulas for solving the problem of finding a controller such that an upper bound for the generalized H2 norm of a closed loop transfer matrix, and the H∞ norm of some other closed loop transfer matrix, are jointly below specified levels. Both full-information/state feedback and output feedback problems are considered. The numerical implementation of the authors´ formulas requires a standard algebraic Riccati equation solver and a linear matrix inequality solver
  • Keywords
    H∞ control; Riccati equations; closed loop systems; control system synthesis; matrix algebra; state feedback; state-space methods; transfer function matrices; Generalized H2/H∞ control; H∞ norm; algebraic Riccati equation solver; closed loop transfer matrix; design specifications; full-information/state feedback; generalized H2 norm; linear matrix inequality solver; output feedback; upper bound; Closed loop systems; Control systems; Control theory; Extraterrestrial measurements; H infinity control; Hydrogen; Linear matrix inequalities; Output feedback; Riccati equations; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.478633
  • Filename
    478633