Nonlinear averaging theorems, and the determination of parameter convergence rates in adaptive control

نویسندگان

  • Marc BODSON
  • Shankar SASTRY
چکیده

Absrracf: Thr paper presents nonlinear averaging theorems lor two-time scale systems, where the dynamics of the fast system are allowed to vary with the slow system. The results are &lied to the Narendra-Valavani adaplive canlrol algorithm, and estimates of the parameter convergence rates are obtained which do not rely an a linearization of the system around the cquilibriurn. and therciore arc valid in a larger region in the parameter space.

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تاریخ انتشار 2005