• DocumentCode
    342737
  • Title

    An iterative method for mixed H2/H∞ control design with uncommon LMI solutions

  • Author

    Shimomura, Takashi ; Fujii, Takao

  • Author_Institution
    Hansen Exp. Phys. Lab., Stanford Univ., CA, USA
  • Volume
    5
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    3292
  • Abstract
    Attempts to solve the state-feedback H2/H∞ control problem by a LMI technique that allows for uncommon LMI solutions. In order to obtain a common controller ensuring the two performance criteria while allowing uncommon LMI solutions, we figure out what portion of the LMI solution should be constrained. Then, utilizing the freedom of the unconstrained portion, we propose an iterative method to obtain an updated controller gain which further improves the H2 performance under the H∞ constraint. An illustrated example is included.
  • Keywords
    H∞ control; control system synthesis; iterative methods; linear systems; matrix algebra; state feedback; iterative method; mixed H2/H∞ control design; performance criteria; uncommon LMI solutions; updated controller gain; Constraint optimization; Control design; Gas detectors; Iterative methods; Negative feedback; Negative feedback loops; Open loop systems; Roentgenium; State feedback; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1999. Proceedings of the 1999
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-4990-3
  • Type

    conf

  • DOI
    10.1109/ACC.1999.782374
  • Filename
    782374
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=342737