Wavelet-based identification and control design for a class of nonlinear systems

H. R. Karimi, B. Lohmann, B. Moshiri, P. Jabehdar Maralani

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

In this paper, we extend the wavelet networks for identification and H control of a class of nonlinear dynamical systems. The technique of feedback linearization, supervisory control and H control are used to design an adaptive control law and also the parameter adaptation laws of the wavelet network are developed using a Lyapunov-based design. By some theorems, it will be proved that even in the presence of modeling errors, named network error, the stability of the overall closed-loop system and convergence of the network parameters and the boundedness of the state errors are guaranteed. The applicability of the proposed method is illustrated on a nonlinear plant by computer simulation.

Original languageEnglish
Pages (from-to)213-226
Number of pages14
JournalInternational Journal of Wavelets, Multiresolution and Information Processing
Volume4
Issue number1
DOIs
StatePublished - 2006

Keywords

  • H control
  • Stability analysis
  • Supervisory control
  • System identification
  • Wavelet network

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