• DocumentCode
    887528
  • Title

    Parameter convergence and stability in continuous-time indirect adaptive control

  • Author

    Nordstrom, Niklas

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
  • Volume
    34
  • Issue
    2
  • fYear
    1989
  • fDate
    2/1/1989 12:00:00 AM
  • Firstpage
    205
  • Lastpage
    207
  • Abstract
    The author considers an indirect adaptive unity feedback controller consisting of an mth-order SISO (single input, single output) compensator controlling an nth-order strictly proper SISO plant. It is shown that exponential convergence of the plant parameter estimation error as well as asymptotic time invariance and global exponential stability of the controlled closed-loop system can be guaranteed by requiring that the reference input has at least 2n+m points of spectral support
  • Keywords
    adaptive control; closed loop systems; compensation; convergence; parameter estimation; stability; SISO compensator; asymptotic time invariance; closed-loop system; continuous-time indirect adaptive control; exponential convergence; global exponential stability; parameter convergence; parameter estimation error; unity feedback controller; Adaptive control; Automatic control; Chaos; Circuits; Control systems; Convergence; Nonlinear control systems; Stability; Stochastic processes; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.21100
  • Filename
    21100