• DocumentCode
    390965
  • Title

    An analytical approach to the solution of the Hamilton-Jacobi-Isaacs equations (HJIE) in nonlinear L2-gain control

  • Author

    Aliyu, M.D.S.

  • Author_Institution
    Dept. of Electr. Eng., Louisiana State Univ., Baton Rouge, LA, USA
  • Volume
    3
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    2702
  • Abstract
    In this paper, we present an approach to the solution of the Hamilton-Jacobi-Isaac equation (HJIE) arising in the H∞ control problem for nonlinear systems. We show that the HJIE can be solved analogously to a scalar quadratic equation, and present a computational procedure for determining symmetric solutions. Examples are given to illustrate the procedure.
  • Keywords
    H∞ control; linear matrix inequalities; nonlinear control systems; H∞ control problem; Hamilton-Jacobi-Isaacs equations; analytical approach; nonlinear L2-gain control; scalar quadratic equation; symmetric solutions; Control systems; Control theory; Jacobian matrices; Linear matrix inequalities; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Partial differential equations; State feedback; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184249
  • Filename
    1184249
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=390965