• DocumentCode
    2261814
  • Title

    Semi-global L2 gain analysis for kth-degree systems based on reachable set analysis

  • Author

    Sato, Yoko ; Watanabe, Ryo ; Uchida, Kenko

  • Author_Institution
    Dept. of Electr., Electron. & Comput. Eng., Waseda Univ., Tokyo, Japan
  • Volume
    3
  • fYear
    1998
  • fDate
    21-26 Jun 1998
  • Firstpage
    1886
  • Abstract
    In this paper, we define the kth-degree system which is regarded as Taylor series up to the kth-degree term for the nonlinear system, and propose an analysis technique of the semi-global L2 gains based on the reachable set analysis for the kth-degree systems with the constraint sets on the disturbances. In this technique, the upper bounds of the semi-global L2 gains are obtained by solving linear matrix inequalities. We also illustrate the effectiveness of the proposed method with a numerical example
  • Keywords
    H∞ control; control system analysis; matrix algebra; nonlinear control systems; series (mathematics); LMI; Taylor series; linear matrix inequalities; nonlinear H∞ control; nonlinear system; reachable set analysis; semi-global L2 gain analysis; Control systems; Jacobian matrices; Mechanical systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Systems engineering and theory; Taylor series; Uncertainty; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1998. Proceedings of the 1998
  • Conference_Location
    Philadelphia, PA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-4530-4
  • Type

    conf

  • DOI
    10.1109/ACC.1998.707349
  • Filename
    707349
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2261814