• DocumentCode
    2805167
  • Title

    Adaptive solution of Hamilton-Jacobi-Isaac equation and practical H ∞ stabilization of nonlinear systems

  • Author

    Aliyu, M.D.S.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    343
  • Lastpage
    348
  • Abstract
    We consider adaptive approaches to the solution of the Hamilton-Jacobi-Isaacs equation (HJIE) arising from the H∞ control problem for nonlinear systems. We propose three approaches to the practical stabilization of a class of nonlinear systems using exact or approximate solutions of the HJIE. Starting with the solution of the linearized HJIE, we derive adaptive rules that will guarantee global exponential stability of the closed-loop system
  • Keywords
    H∞ control; Riccati equations; asymptotic stability; closed loop systems; control system synthesis; matrix algebra; nonlinear control systems; state feedback; variable structure systems; H∞ stabilization; Hamilton-Jacobi-Isaac equation; adaptive rules; adaptive solution; global exponential stability; Adaptive control; Control system synthesis; Control systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Programmable control; Riccati equations; Sliding mode control; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Applications, 2000. Proceedings of the 2000 IEEE International Conference on
  • Conference_Location
    Anchorage, AK
  • Print_ISBN
    0-7803-6562-3
  • Type

    conf

  • DOI
    10.1109/CCA.2000.897448
  • Filename
    897448
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2805167