• DocumentCode
    760520
  • Title

    Robust H∞ control of uncertain nonlinear system via state feedback

  • Author

    Shen, Tielong ; Tamura, Katsutoshi

  • Author_Institution
    Dept. of Mech. Eng., Sophia Univ., Tokyo, Japan
  • Volume
    40
  • Issue
    4
  • fYear
    1995
  • fDate
    4/1/1995 12:00:00 AM
  • Firstpage
    766
  • Lastpage
    768
  • Abstract
    This technical note presents a solution of robust H∞ control problem for an affine nonlinear system with gain bounded uncertainty. It is shown that the L2-induced norm of a closed-loop system with the uncertainty is less than one if an extended nonlinear system with no uncertainty is dissipative with respect to a supply rate. In consequence of this result, a state feedback law such that the closed-loop system has H∞ robust performance is derived based on the Hamilton-Jacobi inequality. It is also shown that the existing results for linear systems are special cases of the presented results
  • Keywords
    H∞ control; closed loop systems; nonlinear control systems; robust control; state feedback; uncertain systems; Hamilton-Jacobi inequality; L2-induced norm; affine nonlinear system; closed-loop system; gain bounded uncertainty; robust H∞ control; state feedback; uncertain nonlinear system; Control systems; Linear systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Riccati equations; Robust control; Robustness; State feedback; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.376091
  • Filename
    376091
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=760520