• DocumentCode
    2021321
  • Title

    H∞ control synthesis via reduced order LMIs

  • Author

    Yu, Jie ; Sideris, Athanasios

  • Author_Institution
    Dept. of Mech. & Aerosp. Eng., California Univ., Irvine, CA, USA
  • Volume
    1
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    183
  • Abstract
    In H∞ control synthesis for systems with weighting functions, linear matrix inequality (LMI)-based approaches face heavy computation and possibly numerical ill-conditioning. In this paper, a new formulation is presented to find a full order controller via reduced order LMIs and fewer decision variables, by exploiting the potential pole-zero cancellation in the closed loop. As a result, both numerical conditioning and numerical efficiency are improved. An interesting application of the results to servomechanism problems is also given
  • Keywords
    H∞ control; closed loop systems; control system synthesis; feedback; linear systems; matrix algebra; poles and zeros; servomechanisms; H∞ control; closed loop systems; full order controller; linear matrix inequality; linear time invariant systems; order reduction; pole-zero cancellation; reduced order LMI; servomechanism; Aerospace engineering; Centralized control; Closed loop systems; Control system synthesis; Controllability; Lyapunov method; Null space; Observability; Radio control; Riccati equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.650612
  • Filename
    650612
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2021321