• DocumentCode
    2752686
  • Title

    H∞ control for Markovian jump nonlinear systems

  • Author

    Aliyu, M.D.S. ; Boukas, E.K.

  • Author_Institution
    Dept. of Syst. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
  • Volume
    1
  • fYear
    1998
  • fDate
    1998
  • Firstpage
    766
  • Abstract
    The problem of disturbance attenuation with internal stability for nonlinear systems with Markovian jumping parameters is considered. It is shown that this problem is solvable if there exists a set of smooth positive semi-definite functions satisfying certain Hamilton-Jacobi-Isaacs inequalities. Furthermore, it is shown that if this solution exists, it represents a stochastic Lyapunov function for the closed-loop nonlinear system
  • Keywords
    H∞ control; Lyapunov methods; Markov processes; closed loop systems; nonlinear control systems; stability; stochastic systems; H∞ control; Hamilton-Jacobi-Isaacs inequalities; Markovian jump nonlinear systems; Markovian jumping parameters; closed-loop nonlinear system; disturbance attenuation; internal stability; smooth positive semi-definite functions; stochastic Lyapunov function; Control systems; Markov processes; Nonlinear control systems; Nonlinear systems; Process control; Stability; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4394-8
  • Type

    conf

  • DOI
    10.1109/CDC.1998.760780
  • Filename
    760780
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2752686